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Journal articles on the topic 'Intuitive fuzzy sets'

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Published: 2 June 2025

Last updated: 31 July 2025

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1

Zhu, Lifeng, Weiwei Xia, Jia Liu, and Aiguo Song. "Visualizing fuzzy sets using opacity-varying freeform diagrams." Information Visualization 17, no. 2 (2017): 146–60. http://dx.doi.org/10.1177/1473871617698517.

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As an extension of classical sets, fuzzy sets allow their containing elements to have continuous membership, which broadens its applications in various domains. In order to visualize the uncertain owner–member relationship, we design an intuitive diagram to visualize fuzzy sets. The diagram has a freeform boundary, which allows a clear layout of the data. In addition, the opacity of the diagram reveals the uncertainty of the membership. Physical simulation and bi-harmonic interpolation are introduced to generate the proposed diagram. We test our method with different fuzzy sets. The results sh

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Dai, Songsong. "Quaternionic Fuzzy Sets." Axioms 12, no. 5 (2023): 490. http://dx.doi.org/10.3390/axioms12050490.

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A novel concept of quaternionic fuzzy sets (QFSs) is presented in this paper. QFSs are a generalization of traditional fuzzy sets and complex fuzzy sets based on quaternions. The novelty of QFSs is that the range of the membership function is the set of quaternions with modulus less than or equal to one, of which the real and quaternionic imaginary parts can be used for four different features. A discussion is made on the intuitive interpretation of quaternion-valued membership grades and the possible applications of QFSs. Several operations, including quaternionic fuzzy complement, union, int

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DESCHRIJVER, GLAD, OFER ARIELI, CHRIS CORNELIS, and ETIENNE E. KERRE. "A BILATTICE-BASED FRAMEWORK FOR HANDLING GRADED TRUTH AND IMPRECISION." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 15, no. 01 (2007): 13–41. http://dx.doi.org/10.1142/s0218488507004352.

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We present a family of algebraic structures, called rectangular bilattices, which serve as a natural accommodation and powerful generalization to both intuitionistic fuzzy sets (IFSs) and interval-valued fuzzy sets (IVFSs). These structures are useful on one hand to clarify the exact nature of the relationship between the above two common extensions of fuzzy sets, and on the other hand provide an intuitively attractive framework for the representation of uncertain and potentially conflicting information. We also provide these structures with adequately defined graded versions of the basic logi

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Pratama, Dian. "OPERATOR ⊞A and ⊠A ON INTUITIONISTIC FUZZY RING." Jurnal Ilmiah Matematika dan Pendidikan Matematika 12, no. 1 (2020): 35. http://dx.doi.org/10.20884/1.jmp.2020.12.1.2613.

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Intuitionistic fuzzy sets is a sets that are characterized by membership and non-membership function which sum is less than one. When applied to ring theory, it will called intuitionistic fuzzy rings. The fuzzy set operator is a mapping between the membership function and the interval [0,1]. In this study, we will describe properties of operator and in intuitionistic fuzzy rings. The characteristics that will be studied include the structure of and if A is an intuitive and fuzzy ring and vice versa.

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SANCHO-ROYO, A., and J. L. VERDEGAY. "COHERENCE MEASURES ON FINITE FUZZY SETS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 08, no. 06 (2000): 641–63. http://dx.doi.org/10.1142/s0218488500000472.

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Comparison tools for fuzzy sets are an indispensable topic. Mostly of this tools deal with fuzzy sets from the view of similarity, order and so forth. A comparison tool based on coherence intuitive concept is presented. For constructing this concept, one start from three basics properties. A development of this tool is presented, equally coherence measures are connected with Fishburn-Yager's ambiguity measures. Two methods for constructing coherence measures are shown: one from ambiguity measures and other from metrics on [0, 1]m. Concretely, has been constructed various coherence measures fro

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Rozy, Boora, and Vijay Prakash Tomar Dr. "Exponential-Trigonometry Intuitionistic Fuzzy Divergence Measure." International Journal of Basic Sciences and Applied Computing (IJBSAC) 9, no. 5 (2023): 1–9. https://doi.org/10.35940/ijbsac.D0475.019523.

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<strong>Abstract:</strong> Based on the exponential and trigonometry functions, a new divergence measure is introduced under the intuitionistic fuzzy environment. The Intuitionistic Fuzzy Divergence Measure is an indispensable instrument to calculate the variance between two intuitionistic fuzzy sets. Many attractive properties are displayed to enhance the value of introduced intuitionistic fuzzy divergence measure. Many existing divergence measures are reviewed with their counter-intuitive examples. Finally, the invented divergence measure is applicative in the field of medical deliverance to

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Nathiya K. "Applying a Fuzzy Ordering Approach in Transportation Problems with Decagonal Intuitionistic Fuzzy Numbers." Communications on Applied Nonlinear Analysis 31, no. 4s (2024): 621–32. http://dx.doi.org/10.52783/cana.v31.975.

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In this study, the paper delves into precision challenges within traditional transportation problem solutions, which rigidly define cost, supply, and demand. Acknowledging the inherent vagueness in real world contexts, the research explores the efficacy of intuitive fuzzy sets as a potent tool. Organized into four distinct sections, this work utilizes decagonal intuitionistic fuzzy numbers for managing supply and demand, while upholding conventional approaches for cost considerations. Employing a fuzzy ordering method, optimal solutions are derived by adjusting the configuration of decagonal i

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Sabahi, Farnaz, and Mohammad-R. Akbarzadeh–T. "A human-intuitive fuzzy ranking approach with spread and skewness factors." Journal of Intelligent & Fuzzy Systems 40, no. 6 (2021): 10687–701. http://dx.doi.org/10.3233/jifs-201591.

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It would be hard to deny the importance of fuzzy number ranking in fuzzy-based applications. The definition of fuzzy ranking, however, evades an easy description due to the overlapping of fuzzy sets. While many researchers have addressed this subject, close examination reveals that their results suffer from one or more shortcomings such as image-ranking problems or ranking two equally embedded fuzzy numbers with the same centroid and different spreads. This paper proposes a new fast and straightforward computational approach to ranking fuzzy numbers that aims to overcome such problems. The pro

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Luo, Xiao, Weimin Li, and Wei Zhao. "Intuitive distance for intuitionistic fuzzy sets with applications in pattern recognition." Applied Intelligence 48, no. 9 (2017): 2792–808. http://dx.doi.org/10.1007/s10489-017-1091-0.

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Nguyen, Hoang. "An Application of the Pythagorean Fuzzy Sets in the Fault Diagnosis." Journal of KONBiN 52, no. 4 (2022): 63–74. http://dx.doi.org/10.2478/jok-2022-0041.

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Abstract In this paper, a comprehensive review and critical analyses of methods based on the ordinary fuzzy set, Atanassov’s intuitionistic fuzzy set, and its extensions have been conducted to show their limitations and defects. Then, a novel similarity measure based on the generalized score function has been introduced that incorporates the significance (importance) of information, making it more intuitive to compare them. The proposed method is employed for the fault diagnosis of steam turbine generator unit under Pythagorean fuzzy environment. Ten fault types of rotating machines are establ

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Zhou, Qianli, Hongming Mo, and Yong Deng. "A New Divergence Measure of Pythagorean Fuzzy Sets Based on Belief Function and Its Application in Medical Diagnosis." Mathematics 8, no. 1 (2020): 142. http://dx.doi.org/10.3390/math8010142.

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As the extension of the fuzzy sets (FSs) theory, the intuitionistic fuzzy sets (IFSs) play an important role in handling the uncertainty under the uncertain environments. The Pythagoreanfuzzy sets (PFSs) proposed by Yager in 2013 can deal with more uncertain situations than intuitionistic fuzzy sets because of its larger range of describing the membership grades. How to measure the distance of Pythagorean fuzzy sets is still an open issue. Jensen–Shannon divergence is a useful distance measure in the probability distribution space. In order to efficiently deal with uncertainty in practical app

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Boora, Rozy, and Dr Vijay Prakash Tomar. "Exponential-Trigonometry Intuitionistic Fuzzy Divergence Measure." International Journal of Basic Sciences and Applied Computing 9, no. 5 (2023): 1. http://dx.doi.org/10.35940/ijbsac.d0475.019523.

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Based on the exponential and trigonometry functions, a new divergence measure is introduced under the intuitionistic fuzzy environment. The Intuitionistic Fuzzy Divergence Measure is an indispensable instrument to calculate the variance between two intuitionistic fuzzy sets. Many attractive properties are displayed to enhance the value of introduced intuitionistic fuzzy divergence measure. Many existing divergence measures are reviewed with their counter-intuitive examples. Finally, the invented divergence measure is applicative in the field of medical deliverance to differentiate between dise

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Wang, Hongpeng, Caikuan Tuo, Zhiqin Wang, Guoye Feng, and Chenglong Li. "Enhancing Similarity and Distance Measurements in Fermatean Fuzzy Sets: Tanimoto-Inspired Measures and Decision-Making Applications." Symmetry 16, no. 3 (2024): 277. http://dx.doi.org/10.3390/sym16030277.

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Fermatean fuzzy sets (FFSs) serve as a nascent yet potent approach for coping with fuzziness, with their efficacy recently being demonstrated across a spectrum of practical contexts. Nevertheless, the scholarly literature remains limited in exploring the similarity and distance measures tailored for FFSs. The limited existing measures on FFSs sometimes yield counter-intuitive outcomes, which can obfuscate the accurate quantification of similarity and difference among FFSs. This paper introduces a suite of similarity and distance measures tailored for FFSs, drawing inspiration from the Tanimoto

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DESCHRIJVER, GLAD, and CHRIS CORNELIS. "REPRESENTABILITY IN INTERVAL-VALUED FUZZY SET THEORY." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 15, no. 03 (2007): 345–61. http://dx.doi.org/10.1142/s0218488507004716.

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Interval-valued fuzzy set theory is an increasingly popular extension of fuzzy set theory where traditional [0,1]-valued membership degrees are replaced by intervals in [0,1] that approximate the (unknown) membership degrees. To construct suitable graded logical connectives in this extended setting, it is both natural and appropriate to "reuse" ingredients from classical fuzzy set theory. In this paper, we compare different ways of representing operations on interval-valued fuzzy sets by corresponding operations on fuzzy sets, study their intuitive semantics, and relate them to an existing, pu

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CHEN, Ting-Yu. "AN INCLUSION COMPARISON APPROACH FOR MULTIPLE CRITERIA DECISION ANALYSIS BASED ON INTERVAL-VALUED INTUITIONISTIC FUZZY SETS." Technological and Economic Development of Economy 22, no. 3 (2015): 357–92. http://dx.doi.org/10.3846/20294913.2014.989930.

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The theory of interval-valued intuitionistic fuzzy sets provides an intuitive and feasible way of addressing uncertain and ambiguous properties. Many useful models and methods have been developed for multiple criteria decision analysis within the interval-valued intuitionistic fuzzy environment. In contrast to the elaborate existing methods, this paper establishes a simple and effective method for managing the sophisticated data expressed by interval-valued intuitionistic fuzzy sets. An inclusion comparison possibility defined on interval-valued intuitionistic fuzzy sets is proposed, and some

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A. Soliman, Entesar. "Basic concepts of neutrosophic crisp sets." Libyan Journal of Science &Technology 12, no. 1 (2024): 187–93. https://doi.org/10.37376/ljst.v12i1.7057.

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The world around us is characterized by specificity, ambiguity, and contradiction, which led to a lack of our full knowledge of its facts and events. Therefore, we became in need of a new vision and a logical system that fits our incomplete information. In 1965, the American scientist F. Smarandache presented neutrosophic logic as a generalization of fuzzy logic and intuitive fuzzy logic. He added a new component to the degrees of a membership function and a non-membership function, which is the degree of indeterminacy. The crispneutrosophic sets presented by Ahmed Salama is considered a gener

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Asaad, Baravan A., Sagvan Y. Musa, and Zanyar A. Ameen. "Fuzzy Bipolar Hypersoft Sets: A Novel Approach for Decision-Making Applications." Mathematical and Computational Applications 29, no. 4 (2024): 50. http://dx.doi.org/10.3390/mca29040050.

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This article presents a pioneering mathematical model, fuzzy bipolar hypersoft (FBHS) sets, which combines the bipolarity of parameters with the fuzziness of data. Motivated by the need for a comprehensive framework capable of addressing uncertainty and variability in complex phenomena, our approach introduces a novel method for representing both the presence and absence of parameters through FBHS sets. By employing two mappings to estimate positive and negative fuzziness levels, we bridge the gap between bipolarity, fuzziness, and parameterization, allowing for more realistic simulations of m

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Vargas, Dante Mújica. "Superpixels extraction by an Intuitionistic fuzzy clustering algorithm." Journal of Applied Research and Technology 19, no. 2 (2021): 140–52. http://dx.doi.org/10.22201/icat.24486736e.2021.19.2.1581.

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A scheme to develop the image over-segmentation task is introduced in this paper, it considers the pixels of an image as intuitive fuzzy sets and develops an intuitionistic clustering process of them. In this regard, the main contribution is to provide a method for extracting superpixels with greater adherence to the edges of the regions. Experimental tests were developed considering biomedical grayscale and natural color images. The robustness and effectiveness of this proposal was verified by quantitative and qualitative results.

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Yang, Miin-Shen, Zahid Hussain, and Mehboob Ali. "Belief and Plausibility Measures on Intuitionistic Fuzzy Sets with Construction of Belief-Plausibility TOPSIS." Complexity 2020 (August 12, 2020): 1–12. http://dx.doi.org/10.1155/2020/7849686.

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Belief and plausibility measures in Dempster–Shafer theory (DST) and fuzzy sets are known as different approaches for representing partial, uncertainty, and imprecise information. There are several generalizations of DST to fuzzy sets proposed in the literature. But, less generalization of DST to intuitionistic fuzzy sets (IFSs), that can somehow present imprecise information better than fuzzy sets, was proposed. In this paper, we first propose a simple and intuitive way to construct a generalization of DST to IFSs with degrees of belief and plausibility in terms of degrees of membership and n

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Hung, Kuo-Chen. "Medical Pattern Recognition: Applying an Improved Intuitionistic Fuzzy Cross-Entropy Approach." Advances in Fuzzy Systems 2012 (2012): 1–6. http://dx.doi.org/10.1155/2012/863549.

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One of the toughest challenges in medical diagnosis is the handling of uncertainty. Since medical diagnosis with respect to the symptoms uncertain, they will be assumed to have an intuitive nature. Thus, to obtain the uncertain optimism degree of the doctor, fuzzy linguistic quantifiers will be used. The aim of this article is to provide an improved nonprobabilistic entropy approach to support doctors examining the work of the preliminary diagnosing. The proposed entropy measure is based on intuitionistic fuzzy sets, extrainformation regarding hesitation degree, and an intuitive and mathematic

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Khan, Muhammad Jabir, Poom Kumam, Wejdan Deebani, Wiyada Kumam, and Zahir Shah. "Distance and Similarity Measures for Spherical Fuzzy Sets and Their Applications in Selecting Mega Projects." Mathematics 8, no. 4 (2020): 519. http://dx.doi.org/10.3390/math8040519.

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A new condition on positive membership, neutral membership, and negative membership functions give us the successful extension of picture fuzzy set and Pythagorean fuzzy set and called spherical fuzzy sets ( SFS ) . This extends the domain of positive membership, neutral membership, and negative membership functions. Keeping in mind the importance of similarity measure and application in data mining, medical diagnosis, decision making, and pattern recognition, several studies on similarity measures have been proposed in the literature. Some of those, however, cannot satisfy the axioms of simil

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Ashraf, Shahzaib, Attaullah, Muhammad Naeem, Asghar Khan, Noor Rehman, and M. K. Pandit. "Novel Information Measures for Fermatean Fuzzy Sets and Their Applications to Pattern Recognition and Medical Diagnosis." Computational Intelligence and Neuroscience 2023 (March 8, 2023): 1–19. http://dx.doi.org/10.1155/2023/9273239.

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Fermatean fuzzy sets (FFSs) have piqued the interest of researchers in a wide range of domains. The striking framework of the FFS is keen to provide the larger preference domain for the modeling of ambiguous information deploying the degrees of membership and nonmembership. Furthermore, FFSs prevail over the theories of intuitionistic fuzzy sets and Pythagorean fuzzy sets owing to their broader space, adjustable parameter, flexible structure, and influential design. The information measures, being a significant part of the literature, are crucial and beneficial tools that are widely applied in

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Zhou, Jian, Qina Wang, C. C. Hung, and Xiajie Yi. "Credibilistic Clustering: The Model and Algorithms." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 23, no. 04 (2015): 545–64. http://dx.doi.org/10.1142/s0218488515500245.

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Fuzzy clustering is a widely used approach for data classification by using the fuzzy set theory. The probability measure and the possibility measure are two popular measures which have been used in the fuzzy [Formula: see text]-means algorithm (FCM) and the possibilistic clustering algorithms (PCAs), respectively. However, the numerical experiments revealed that FCM and its derivatives lack the intuitive concept of degree of belongingness, and PCAs suffer from the “coincident problem” and cannot provide very stable results for some data sets. In this study, we propose a new clustering algorit

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Farhadinia, Bahram. "A Divergence-Based Medical Decision-Making Process of COVID-19 Diagnosis." Mathematical Problems in Engineering 2022 (February 11, 2022): 1–18. http://dx.doi.org/10.1155/2022/7685033.

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This study is concerned with introducing a class of parametric and symmetric divergence measures under hesitant fuzzy environment. The proposed divergence measures have several interesting properties which make their use attractive. In order for exploring the features of proposed divergence measures for hesitant fuzzy sets (HFSs), we compare them with other existing ones in terms of divergence-initiated weighs and counter-intuitive cases. In the process of comparison, we first modify the conventional framework of hesitant fuzzy additive ratio assessment (HFARAS) using the proposed divergence m

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Tan, Xiao, Yuan Zhou, Zuohua Ding, and Yang Liu. "Selecting Correct Methods to Extract Fuzzy Rules from Artificial Neural Network." Mathematics 9, no. 11 (2021): 1164. http://dx.doi.org/10.3390/math9111164.

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Artificial neural network (ANN) inherently cannot explain in a comprehensible form how a given decision or output is generated, which limits its extensive use. Fuzzy rules are an intuitive and reasonable representation to be used for explanation, model checking, and system integration. However, different methods may extract different rules from the same ANN. Which one can deliver good quality such that the ANN can be accurately described by the extracted fuzzy rules? In this paper, we perform an empirical study on three different rule extraction methods. The first method extracts fuzzy rules f

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Bahrami, Behzad, and Masoud Shafiee. "Fuzzy Descriptor Models for Earthquake Time Prediction Using Seismic Time Series." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 23, no. 04 (2015): 505–19. http://dx.doi.org/10.1142/s0218488515500221.

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In recent years, singular systems and fuzzy descriptor have attracted a lot of researchers' attention due to their wide practical applications for modeling complex phenomena. In this study, one approach proposed is the fuzzy clustering algorithm based on linear structures to identify the neuro Fuzzy local linear models. Additionally fuzzy descriptor models, a recently proposed neuro fuzzy interpretation of locally linear models, are implemented because of their promise for intuitive incremental learning algorithms e.g. Generalized Fuzzy Clustering Variety (GFCV). The results from the fuzzy des

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Faizi, Shahzad, Wojciech Sałabun, Tabasam Rashid, Sohail Zafar, and Jarosław Wątróbski. "Intuitionistic Fuzzy Sets in Multi-Criteria Group Decision Making Problems Using the Characteristic Objects Method." Symmetry 12, no. 9 (2020): 1382. http://dx.doi.org/10.3390/sym12091382.

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Over the past few decades, several researchers and professionals have focused on the development and application of multi-criteria group decision making (MCGDM) methods under a fuzzy environment in different areas and disciplines. This complex research area has become one of the more popular topics, and it seems that this trend will be increasing. In this paper, we propose a new MCGDM approach combining intuitionistic fuzzy sets (IFSs) and the Characteristic Object Method (COMET) for solving the group decision making (GDM) problems. The COMET method is resistant to the rank reversal phenomenon

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BROUWER, ROELOF K. "GROWING OF A FUZZY RECURRENT ARTIFICIAL NEURAL NETWORK (FRANN) FOR PATTERN CLASSIFICATION." International Journal of Neural Systems 09, no. 04 (1999): 335–50. http://dx.doi.org/10.1142/s0129065799000320.

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This paper describes a method for growing a recurrent neural network of fuzzy threshold units for the classification of feature vectors. Fuzzy networks seem natural for performing classification, since classification is concerned with set membership and objects generally belonging to sets of various degrees. A fuzzy unit in the architecture proposed here determines the degree to which the input vector lies in the fuzzy set associated with the fuzzy unit. This is in contrast to perceptrons that determine the correlation between input vector and a weighting vector. The resulting membership value

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CHEN, Ting-Yu. "MULTIPLE CRITERIA DECISION ANALYSIS USING PRIORITISED INTERVAL TYPE-2 FUZZY AGGREGATION OPERATORS AND ITS APPLICATION TO SITE SELECTION." Technological and Economic Development of Economy 23, no. 1 (2017): 1–21. http://dx.doi.org/10.3846/20294913.2016.1209249.

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The theory of interval type-2 fuzzy sets provides an intuitive and computationally feasible method of addressing uncertain and ambiguous information in decision-making fields. This paper aims to develop a prioritised interval type-2 fuzzy aggregation operator and apply it to multiple criteria decision analysis with prioritised criteria. This paper considers situations in which a relationship between the criteria exists such that a lack of satisfaction by the higher priority criteria cannot be readily compensated by the satisfaction of lower priority criteria. This paper introduces the develope

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Khodadadi, Ekhtiar, and Mehdi Aghabeigi. "A Novel Hybrid MCDM Approach Based on Fuzzy DEMATEL, ANP, and Fuzzy VIKOR for Selecting the Best Project Managers." International Journal of Information Technology Project Management 9, no. 2 (2018): 38–64. http://dx.doi.org/10.4018/ijitpm.2018040103.

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Selecting the best managers from several proposed alternatives is a key factor in project success. The act of selecting administer is a multi-indicatory issue which includes qualitative and quantitative criteria that might be in contradiction or even might be vague. Therefore, complexity and importance of the problem requires using of analytical procedures rather than intuitive decisions. In the current article, first, the managerial competency criteria has been identified based on the library studies and surveys of specialists in the community. A Fuzzy DEMATEL method has been used for the sak

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Wu, Yuchen, Ziwen Wang, and Lei Zhang. "A Novel Clark Distance-Based Decision-Making Algorithm on Intuitionistic Fuzzy Sets." Electronics 13, no. 17 (2024): 3481. http://dx.doi.org/10.3390/electronics13173481.

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Fuzzy sets possess remarkable abilities in expressing and handling information uncertainty, which has resulted in their widespread application in various fields. Nevertheless, distance measurement between IFSs for quantitating their differences and levels of differentiation has remained an open problem that deserves attention. Despite the development of various metrics, they either lack intuitive insight or do not satisfy the axioms of distance measurement, leading to counterintuitive results. To address these issues, this paper proposed a distance measurement method based on Clark divergence,

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Tadić, Danijela, Aleksandar Aleksić, Miladin Stefanović, and Slavko Arsovski. "Evaluation and Ranking of Organizational Resilience Factors by Using a Two-Step Fuzzy AHP and Fuzzy TOPSIS." Mathematical Problems in Engineering 2014 (2014): 1–13. http://dx.doi.org/10.1155/2014/418085.

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We presented a novel fuzzy multicriteria decision making approach to evaluate and rank organizational resilience factors with respect to user preference orders. Due to vagueness of the decision data, the precise numerical data are inadequate for real-life business situations. Human judgements can be expressed by linguistic expressions which are modeled by fuzzy sets. The complexity of the considered problem calls for analytic methods rather than intuitive decisions. Two fuzzy multi-criteria methods are proposed for solving the treated problem: Fuzzy Analytic Hierarchical Process (FAHP) is appl

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Liu, Yan, Ting-Hua Yi, and Cui-Qin Wang. "Investment Decision Support for Engineering Projects Based on Risk Correlation Analysis." Mathematical Problems in Engineering 2012 (2012): 1–14. http://dx.doi.org/10.1155/2012/242187.

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Investment decisions are usually made on the basis of the subjective judgments of experts subjected to the information gap during the preliminary stages of a project. As a consequence, a series of errors in risk prediction and/or decision-making will be generated leading to out of control investment and project failure. In this paper, the variable fuzzy set theory and intelligent algorithms integrated with case-based reasoning are presented. The proposed algorithm manages the numerous fuzzy concepts and variable factors of a project and also sets up the decision-making process in accordance wi

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Janusonis, Edgaras, Giruta Kazakeviciute-Januskeviciene, and Romualdas Bausys. "Selection of Optimal Segmentation Algorithm for Satellite Images by Intuitionistic Fuzzy PROMETHEE Method." Applied Sciences 14, no. 2 (2024): 644. http://dx.doi.org/10.3390/app14020644.

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The combination of MCDM and fuzzy sets offers new potential ways to solve the challenges posed by complex image contents, such as selecting the optimal segmentation algorithm or evaluating the segmentation quality based on various parameters. Since no single segmentation algorithm can achieve the best results on satellite image datasets, it is essential to determine the most appropriate segmentation algorithm for each satellite image, the content of which can be characterized by relevant visual features. In this research, we proposed a set of visual criteria representing the fundamental aspect

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Basil, Lourié. "Солунская легенда: оригинальное славянское произведение или перевод с сирийского? Количественный подход к оценке правдоподобности альтернативных гипотез / The Thessalonican Legend: Original Work in Slavonic or Translation from Syriac? A Quantitative Approach to Evaluation of the Likelihoods of the Alternative Hypotheses". Materialy po Arheologii i Istorii Antičnogo i Srednevekovogo Kryma (Materials in Archaeology and History of Ancient and Medieval Crimea) 6 (31 грудня 2014): 189–214. https://doi.org/10.5281/zenodo.165471.

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Для количественного сравнения двух гипотез о происхождении «Солунской легенды» использован метод индуктивной логики, опирающийся на расчет отношения байесовых правдоподобий альтернативных гипотез. Расчет, в свою очередь, базируется на методах нечетких теорий вероятности и прогнозирования. Метод удобен для количественной оценки правдоподобия альтернативных гипотез в любой гуманитарной области, где количество всех подлежащих рассмотрению гипотез можно свести к двум. / The two hypotheses on the original language of the Thessalonican Legend are compared in a quantitative way using the procedures o

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Wang, Gang, Jie Zhang, Yafei Song, and Qiang Li. "An Entropy-Based Knowledge Measure for Atanassov’s Intuitionistic Fuzzy Sets and Its Application to Multiple Attribute Decision Making." Entropy 20, no. 12 (2018): 981. http://dx.doi.org/10.3390/e20120981.

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As the complementary concept of intuitionistic fuzzy entropy, the knowledge measure of Atanassov’s intuitionistic fuzzy sets (AIFSs) has attracted more attention and is still an open topic. The amount of knowledge is important to evaluate intuitionistic fuzzy information. An entropy-based knowledge measure for AIFSs is defined in this paper to quantify the knowledge amount conveyed by AIFSs. An intuitive analysis on the properties of the knowledge amount in AIFSs is put forward to facilitate the introduction of axiomatic definition of the knowledge measure. Then we propose a new knowledge meas

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Salmeron, Jose L., and Antonio Ruiz-Celma. "Synthetic Emotions for Empathic Building." Mathematics 9, no. 7 (2021): 701. http://dx.doi.org/10.3390/math9070701.

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Empathic buildings are intelligent ones that aim to measure and execute the best user experience. A smoother and intuitive environment leads to a better mood. The system gathers data from sensors that measure things like air quality, occupancy, noise and analyse it for the better experience of the users. This research proposes an artificial intelligence-based approach to detect synthetic emotions based on Thayer’s emotional model and Fuzzy Cognitive Maps. This emotional model is based on a biopsychological approach to the analysis of the humans’ emotional state. In this research, Fuzzy Grey Co

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Ren, Bo, Qiuwen Zhang, Juanhui Ren, Song Ye, and Fei Yan. "A Novel Hybrid Approach for Water Resources Carrying Capacity Assessment by Integrating Fuzzy Comprehensive Evaluation and Analytical Hierarchy Process Methods with the Cloud Model." Water 12, no. 11 (2020): 3241. http://dx.doi.org/10.3390/w12113241.

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The water resources carrying capacity (WRCC) shows remarkable fuzziness and randomness, which causes the uncertainty and instability of the WRCC assessment (WRCCA). In order to solve these problems, we proposed a novel hybrid approach for WRCCA, in which the fuzzy comprehensive evaluation (FCE) and analytical hierarchy process (AHP) methods were integrated with the cloud model (CM). Firstly, an evaluation indicator system of WRCC was constructed. Secondly, the AHP and FCE methods were subsequently improved with the CM. The CM was used to scale the relative importance and aggregate the judgment

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Prasetyowati, Sri Arttini Dwi, Munaf Ismail, Eka Nuryanto Budisusila, De Rosal Ignatius Moses Setiadi, and Mauridhi Hery Purnomo. "Dataset Feasibility Analysis Method based on Enhanced Adaptive LMS method with Min-max Normalization and Fuzzy Intuitive Sets." International Journal on Electrical Engineering and Informatics 14, no. 1 (2022): 55–75. http://dx.doi.org/10.15676/ijeei.2022.14.1.4.

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Bouchon-Meunier, Bernadette, and Giulianella Coletti. "How to choose a fuzzy similarity measure in decision-making?" Asian Journal of Economics and Banking 4, no. 3 (2020): 37–48. http://dx.doi.org/10.1108/ajeb-08-2020-0055.

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Purpose The paper is dedicated to the analysis of fuzzy similarity measures in uncertainty analysis in general, and in economic decision-making in particular. The purpose of this paper is to explain how a similarity measure can be chosen to quantify a qualitative description of similarities provided by experts of a given domain, in the case where the objects to compare are described through imprecise or linguistic attribute values represented by fuzzy sets. The case of qualitative dissimilarities is also addressed and the particular case of their representation by distances is presented. Desig

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E. Kizito, Anazia, Emmanuel Ojei, and M. D. Okpor. "A Fuzzy Logic-Based Automobile Fault Detection System Using Mamdani Algorithm." International Journal of Scientific Research and Management (IJSRM) 12, no. 03 (2024): 1081–93. http://dx.doi.org/10.18535/ijsrm/v12i03.ec06.

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Due to advancement and complexity of modern automobiles, fault detection has gone beyond manual or trial by error methods. The fault detection technologies in automotive industry is used to identify any potential or already existing fault in automobiles. Faults in automobiles are usually mechanical or electrical faults that may include airbag control unit, radiator, gearbox, transmission control unit, tyre pressure, brakes, air conditioner, cylinder casket, alternator, hubs malfunctions etc. Each fault has a specific or related sign and symptoms. There are several methods of fault detections i

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Wang, Fengling. "TOPSIS Method for Teaching Effect Evaluation of College English with Interval-Valued Intuitionistic Fuzzy Information." Journal of Mathematics 2021 (April 21, 2021): 1–9. http://dx.doi.org/10.1155/2021/5517198.

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Teaching effect evaluation of College English is frequently considered as a multiattribute group decision-making (MAGDM) issue. Thus, a novel MAGDM method is needed to tackle it. Depending on the classical TOPSIS method and interval-valued intuitionistic fuzzy sets (IVIFSs), this paper designs a novel intuitive distance-based IVIF-TOPSIS method for teaching effect evaluation of College English. First of all, a related literature review is conducted. Furthermore, some necessary theories related to IVIFSs are briefly reviewed. In addition, the weights of attribute are decided objectively by usin

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Chiu, Chian-Song, Shu-Yen Yao, and Carlo Santiago. "Type-2 Fuzzy-Controlled Air-Cleaning Mobile Robot." Symmetry 17, no. 7 (2025): 1088. https://doi.org/10.3390/sym17071088.

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This research presents the development of a type-2 fuzzy-controlled autonomous mobile robot specifically designed for monitoring and actively maintaining indoor air quality. The core of this system is the proposed type-2 fuzzy PID dual-mode controller used for stably patrolling rooms along the walls of the environment. The design method ingeniously merges the fast error correction capability of PID control with the robust adaptability of type-2 fuzzy logic control, which utilizes interval type-2 fuzzy sets. Furthermore, the type-2 fuzzy rule table of the right wall-following controller can be

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Nazir, Nazia, Tanzeela Shaheen, LeSheng Jin, and Tapan Senapati. "An Improved Algorithm for Identification of Dominating Vertex Set in Intuitionistic Fuzzy Graphs." Axioms 12, no. 3 (2023): 289. http://dx.doi.org/10.3390/axioms12030289.

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In graph theory, a “dominating vertex set” is a subset of vertices in a graph such that every vertex in the graph is either a member of the subset or adjacent to a member of the subset. In other words, the vertices in the dominating set “dominate” the remaining vertices in the graph. Dominating vertex sets are important in graph theory because they can help us understand and analyze the behavior of a graph. For example, in network analysis, a set of dominant vertices may represent key nodes in a network that can influence the behavior of other nodes. Identifying dominant sets in a graph can al

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Todorov, Vladislav T., Dmitry Rakov, and Andreas Bardenhagen. "Enhancement Opportunities for Conceptual Design in Aerospace Based on the Advanced Morphological Approach." Aerospace 9, no. 2 (2022): 78. http://dx.doi.org/10.3390/aerospace9020078.

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The current challenges facing the aerospace domain require unconventional solutions, which could be sought in new configurations of future aircraft and spacecraft. The choice of optimal concepts requires the consideration of a significant amount of competing engineering solutions and takes place under conditions of uncertainty. Such a problem can be addressed by enhancing existing methods for analysis and synthesis solutions, such as the Advanced Morphological Approach (AMA). It uses morphological analysis to provide a more exhaustive overview of possible problem solutions, relies on expert ev

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OFLUOGLU KUCUK, PELIN, and TURAN ATILGAN. "Fashion designer selection with the method of GRA-based intuitionistic fuzzy multi-criteria decision making." Industria Textila 70, no. 05 (2019): 457–62. http://dx.doi.org/10.35530/it.070.05.1421.

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Personnel selection is a decision making problem based on the determination of the most suitable individual in line with the determined criteria, as known. Particularly in the labor-intensive sectors, such as apparel, the choice of the right personnel is a crucial problem and plays a key role in continuing the life cycle of companies successfully. In this study, the fashion designer selection process is examined for the design departments which are one of the most important organs for the apparel companies. For this purpose, the most suitable designer was chosen for an apparel company operatin

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Petrov, M. B., L. A. Serkov, and K. B. Kozhov. "Assessment of Energy Supply to the Yamal Peninsula Based on Fuzzy Multicriteria Analysis." Economy of Region 18, no. 4 (2022): 1209–22. http://dx.doi.org/10.17059/ekon.reg.2022-4-17.

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Provision of useful energy is the most important condition for realising the potential of underdeveloped regions. For new development areas, including the Yamal Peninsula, there are various energy alternatives. Based on well-known basic approaches, the article presents a procedure for formalising the analysis of alternatives mostly using qualitative initial data. At the pre-project stage, only limited and fuzzy information (predominantly in the form of expert opinions) is accessible. To achieve the set goal, six criteria for export assessment were selected and further processed using fuzzy mul

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Wei, Qi, Rui Wang, and Chuan-Yang Ruan. "Similarity Measures of Probabilistic Interval Preference Ordering Sets and Their Applications in Decision-Making." Mathematics 12, no. 20 (2024): 3255. http://dx.doi.org/10.3390/math12203255.

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The concept of probabilistic interval preference ordering sets (PIPOSs) provides a scientific and intuitive framework for solving real-life multi-criteria group decision-making problems. In some areas such as investment decision-making and supplier selection, PIPOSs have a wider application space, and the development of similarity and distance measures based on PIPOSs holds great significance. Similarity measure is a basic and prominent tool for dealing with imperfect and ambiguous information in fuzzy sets, but it can also be used to deal with uncertain information in preference ordering. The

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Pang, Chao. "Construction and Analysis of Macroeconomic Forecasting Model Based on Biclustering Algorithm." Journal of Mathematics 2022 (February 7, 2022): 1–10. http://dx.doi.org/10.1155/2022/7768949.

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In recent years, with the globalization of information and Internetization, the phenomenon of information overload has appeared in the production of large amounts of data, and data mining has emerged as the times require. Clustering technology is a representative data mining technology. Cluster analysis has been applied to data mining and has achieved significant results. However, with the deepening of people’s understanding, it has been found that this either/or classification is increasingly not suitable for fuzzy classification problems. Therefore, fuzzy clustering technology, which combine

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Volosova, Aleksandra, and Ekaterina Matiukhina. "Using artificial intelligence for effective decision-making in corporate governance under conditions of deep uncertainty." SHS Web of Conferences 89 (2020): 03008. http://dx.doi.org/10.1051/shsconf/20208903008.

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The article deals with research related to the use of artificial intelligence technologies for effective decision-making in corporate governance under conditions of deep uncertainty. To process uncertainty, it is proposed to use the cognitive capabilities of artificial intelligence. Cognitivism can be used to implement intuitive, psychological and other components of the internal mental activity of a person when making decisions. These capabilities allow one to make informed decisions and predict the consequences of these decisions. To study the properties of deep uncertainty, the authors sugg

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