Relevant bibliographies by topics / Intuitive fuzzy sets

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Academic literature on the topic 'Intuitive fuzzy sets'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Intuitive fuzzy sets"

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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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Books on the topic "Intuitive fuzzy sets"

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IGOShIN, Vladimir. Logic with elements of mathematical logic. INFRA-M Academic Publishing LLC., 2023. http://dx.doi.org/10.12737/1856361.

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In the textbook, traditional logic is presented from the point of view of mathematical logic. Mathematization begins with the study of the topic "Concept", continues with the topic "Judgment" and reaches its greatest effectiveness in the study of deductive reasoning. Thus, the most effective part of traditional logic is subjected to mathematization.&#x0D; The issues of the relationship between logic and intuition in thought processes, the role of language in them, as well as plausible conclusions and elements of the theory of fuzzy sets and fuzzy logic are considered.&#x0D; Meets the requireme
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Bělohlávek, Radim, Joseph W. Dauben, and George J. Klir. Fuzzy Logic in the Broad Sense. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780190200015.003.0003.

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The chapter begins by introducing the important and useful distinction between the research agendas of fuzzy logic in the narrow and the broad senses. The chapter deals with the latter agenda, whose ultimate goal is to employ intuitive fuzzy set theory for emulating commonsense human reasoning in natural language and other unique capabilities of human beings. Restricting to standard fuzzy sets, whose membership degrees are real numbers in the unit interval [0,1], the chapter describes how this broad agenda has become increasingly specific via the gradual development of standard fuzzy set theor
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Book chapters on the topic "Intuitive fuzzy sets"

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Kamacı, Hüseyin, and Subramanian Petchimuthu. "Tanimoto Similarity Coefficients Measuring Bipolar q-Rung Picture Fuzzy Information and Their Applications." In Handbook of Research on Advances and Applications of Fuzzy Sets and Logic. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-7979-4.ch012.

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In this chapter, the concepts of bipolar q-rung picture fuzzy set and bipolar q-rung picture fuzzy number are introduced. Moreover, the fundamentals of bipolar q-rung picture fuzzy sets and bipolar q-rung picture fuzzy numbers are studied. Relatedly, some basic operations, aggregation operators, and relations on the bipolar q-rung picture fuzzy sets/numbers are derived. The intuitive definition of Tanimoto's similarity coefficient is proposed to measure the similarity between two bipolar q-rung picture fuzzy sets. Finally, it is shown that the proposed Tanimoto similarity measures can be used
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Liu, Zhe. "New Tanimoto Similarity Measures Between Pythagorean Fuzzy Sets with Applications on Pattern Recognition." In Advances in Transdisciplinary Engineering. IOS Press, 2023. http://dx.doi.org/10.3233/atde231035.

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Pythagorean fuzzy sets (PFSs) are a versatile tool for handling uncertain problems and have proven effective in practical applications. However, many existing Pythagorean fuzzy similarity measures have counter-intuitive situations, making it challenging to measure the similarity or difference between PFSs accurately. To address this issue, we propose two similarity measures for PFSs inspired by the Tanimoto similarity measure. We also explore the properties of the proposed measures and provide several numerical examples to illustrate their superior performance in processing fuzzy information f
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Vasilakakis, Michael D., Dimitris K. Iakovidis, and George Koulaouzidis. "A Constructive Fuzzy Representation Model for Heart Data Classification." In Studies in Health Technology and Informatics. IOS Press, 2021. http://dx.doi.org/10.3233/shti210111.

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The early detection of Heart Disease (HD) and the prediction of Heart Failure (HF) via telemonitoring and can contribute to the reduction of patients’ mortality and morbidity as well as to the reduction of respective treatment costs. In this study we propose a novel classification model based on fuzzy logic applied in the context of HD detection and HF prediction. The proposed model considers that data can be represented by fuzzy phrases constructed from fuzzy words, which are fuzzy sets derived from data. Advantages of this approach include the robustness of data classification, as well as an
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Zumstein, Darius. "Web Analytics with Fuzziness." In Fuzzy Methods for Customer Relationship Management and Marketing. IGI Global, 2012. http://dx.doi.org/10.4018/978-1-4666-0095-9.ch009.

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In the Internet economy and information society, it has become an essential task of electronic business to analyze, to monitor, and to optimize websites and Web offers. Therefore, this chapter addresses the issues of Web analytics, which is defined as the measurement, collection, analysis, and reporting of Internet data for the purposes of understanding and optimizing website usage. After a short introduction, the second section defines Web analytics, describes benefits and problems of Web analytics, as well as different software architectures and products. Third, a controlling loop is propose
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Shen Xiao-Yong, Li Jin, Shi Zhao-Hui, and Wang Yi. "Construction and Optimization of Intention Recognition Model Based on IFPN." In Frontiers in Artificial Intelligence and Applications. IOS Press, 2016. https://doi.org/10.3233/978-1-61499-619-4-211.

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A model based on intuition fuzzy petri nets (IFPN) aiming at the dynamic and uncertain problem of tactical intention recognition is proposed and the parameters are optimized. Firstly, the author describes the situation characteristics and intention patterns of Intuitionistic Fuzzy Sets, constructs a intuitionistic fuzzy rules-table and extracts logic relation and decision-making rules; accordingly, an algorithm of rules extraction is given, and the IFPN model of intention recognition is formed. In order to improve rational precision, the error back propagation (BP) algorithm is introduced to t
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Tripathy, Balakrushna, and Sharmila Banu K. "Rough Fuzzy Set Theory and Neighbourhood Approximation Based Modelling for Spatial Epidemiology." In Handbook of Research on Computational Intelligence Applications in Bioinformatics. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-5225-0427-6.ch006.

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Modern epidemiological studies involve understanding individual and social level inferences and their role in the transmission and distribution of disease instances. The geographic relevance in epidemiology has been analysed in concurrence with these inferences. The substantial amount of data involved in an epidemiological study is usually very large and intuitively involves missing values and uncertainty. Rough Set Theory (RST) has been used in medical informatics for ‘outcome prediction' and ‘feature selection'. It can be used to construct the decision system involving spatial, medical and d
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Conference papers on the topic "Intuitive fuzzy sets"

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Özcan, Batuhan, Max Friedrich, Jan-Paul Huttner, and Kevin Dwinger. "Enhancing Trust in Human-AI Interaction through Explainable Decision Support Systems for Mission Planning of UAS-Swarms." In 16th International Conference on Applied Human Factors and Ergonomics (AHFE 2025). AHFE International, 2025. https://doi.org/10.54941/ahfe1006377.

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The use of Artificial Intelligence (AI) in decision-making systems often raises concerns about transparency and interpretability due to the "black box" nature of many AI models. This lack of explain ability can hinder trust and limit the effective integration of AI into human-machine systems. Fuzzy logic offers a compelling solution to this challenge by providing inherently interpretable decision-making frameworks. Unlike traditional AI approaches, which often obscure their reasoning processes, fuzzy logic operates through intuitive linguistic rules and degrees of truth, making it possible to
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Scott, Michael J., Rolf W. Kaiser, Matthew Dilligan, Robert J. Glaser, and Erik K. Antonsson. "Managing Uncertainty in Preliminary Aeroshell Design Analysis." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/dtm-3868.

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Abstract An analysis tool to aid in preliminary design of re-entry aeroshells for interplanetary exploration is presented. The computational tool addresses a common feature of design analysis, the need to make use of results from several analysis regimes and from several sources. This paper formalizes for computation what has historically been a matter of informal engineering judgment. The automation of design analysis allows for more extensive search of the design space, and thus supports a design process that is at once more thorough and more efficient. The human designer uses experience and
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Sun, Nuogang, Youyun Zhang, and Xuesong Mei. "A Simplified Systematic Method of Acquiring Design Specifications From Customer Requirements." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34769.

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Faithfully obtaining design specifications from customer requirements is essential for successful designs. The natural lingual, inexact, incomplete and vague attributes of customer requirements make it very difficult to map customer requirements to design specifications. In general design process, the design specifications are determined by designers based on their experience and intuition, and often a certain target value is set for a specification. However, it is on one hand very difficult, on the other hand unreasonable, so a suitable limit range rather than a certain value is preferred at
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Rusa´k, Zolta´n, Imre Horva´th, Gyo¨rgy Kuczogi, and Evren Akar. "Shape Instance Generation From Domain Distributed Vague Models." In ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/detc2002/cie-34496.

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Representing the possible shapes of a cluster of objects by a variation domain, vague discrete modeling is a powerful method for describing non-nominal shapes. A vague discrete model (VDM) is vague in the sense that multiple objects are represented by one domain model, and that multiple shape instances can be generated based on certain instantiation rules. The vaguely defined particles contained in a VDM provide a discrete representation that supports multi-resolution manipulation of shapes. This paper presents the latest results related to deriving instance shapes from a given VDM. The proble
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