Relevant bibliographies by topics / Intuitionistic Fuzzy Set (IFS)

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Intuitionistic Fuzzy Set (IFS)'

Author: Grafiati
Published: 2 June 2025
Last updated: 19 July 2025

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Journal articles on the topic "Intuitionistic Fuzzy Set (IFS)"

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Jeon, Joung Kon, Young Bae Jun, and Jin Han Park. "Intuitionistic fuzzy alpha-continuity and intuitionistic fuzzy precontinuity." International Journal of Mathematics and Mathematical Sciences 2005, no. 19 (2005): 3091–101. http://dx.doi.org/10.1155/ijmms.2005.3091.

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A characterization of intuitionistic fuzzyα-open set is given, and conditions for an IFS to be an intuitionistic fuzzyα-open set are provided. Characterizations of intuitionistic fuzzy precontinuous (resp.,α-continuous) mappings are given.
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Azzam, A. A., Radwan Abu-Gdairi, M. Aldawood, and Abdulaziz M. Alotaibi. "On Intuitionistic Fuzzy Soft Pretopology." International Journal of Analysis and Applications 22 (October 22, 2024): 193. http://dx.doi.org/10.28924/2291-8639-22-2024-193.

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This paper defines the following terms: intuitionistic fuzzy soft (IFS) pretopological space, IFS interior function, IFS pre-open set, IFS pre-closed set, trace of a IFS pretopology, IFS separation axioms, IFS subspace, IFS compactness, IFS connectedness, and some of their properties. In addition, the degree of soft non-vacuity, the soft α-cut, and the IFS preneighbourhood system at a soft point are defined. IFS preneighbourhoods produce IFS pretopologies.
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Robinson, John P., and Henry Amirtharaj E.C. "MAGDM Problems with Correlation Coefficient of Triangular Fuzzy IFS." International Journal of Fuzzy System Applications 4, no. 1 (2015): 1–32. http://dx.doi.org/10.4018/ijfsa.2015010101.

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Correlation coefficient of Intuitionistic Fuzzy Set (IFS), Interval valued IFS, Triangular IFS and Trapezoidal IFS are already present in the literature. This paper proposes the correlation coefficient for Triangular Fuzzy Intuitionistic Fuzzy set (TrFIFS). The method on uncertain Multiple Attribute Group Decision Making (MAGDM) problems based on aggregating intuitionistic fuzzy information is investigated for TrFIFSs. The Triangular Fuzzy Intuitionistic Fuzzy Ordered Weighted Averaging (TrFIFOWA) operator is proposed for TrFIFSs and the Triangular Fuzzy Intuitionistic Fuzzy Ordered Weighted G
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Saritha, Y. "A Study on IFM/IFG/1 Vacation Queueing System with Breakdown, Repair and Server Timeout in (Triangular, Trapezoidal & Pentagon) Intuitionistic Fuzzy Set using α-Cuts". International Journal for Research in Applied Science and Engineering Technology 9, № VIII (2021): 456–61. http://dx.doi.org/10.22214/ijraset.2021.37388.

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In this, we studied and investigated IFM/IFG/1 vacation queueing system/waiting line with server breakdowns, repair and server timeout, “by using (Triangular Trapezoidal and Pentagonal) IF (Intuitionistic Fuzzy) numbers with the application of IFS (Intuitionistic fuzzy set). Here we operate single server vacation queueing system in the following manner; when the system finds empty, the server waits for fixed time ’c’ known as server timeout. At the expiration of this time, if no one arrives into the system, then server takes the vacation. If anyone arrived in the system during the timeout peri
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Atanassov, Krassimir T. "Circular intuitionistic fuzzy sets." Journal of Intelligent & Fuzzy Systems 39, no. 5 (2020): 5981–86. http://dx.doi.org/10.3233/jifs-189072.

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Zishan Anwar, Muhammad, Shahida Bashir, and Muhammad Shabir. "An Efficient Model for the Approximation of Intuitionistic Fuzzy Sets in terms of Soft Relations with Applications in Decision Making." Mathematical Problems in Engineering 2021 (October 22, 2021): 1–19. http://dx.doi.org/10.1155/2021/6238481.

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The basic notions in rough set theory are lower and upper approximation operators defined by a fixed binary relation. This paper proposes an intuitionistic fuzzy rough set (IFRS) model which is a combination of intuitionistic fuzzy set (IFS) and rough set. We approximate an IFS by using soft binary relations instead of fixed binary relations. By using this technique, we get two pairs of intuitionistic fuzzy (IF) soft sets, called the upper approximation and lower approximation with respect to foresets and aftersets. Properties of newly defined rough set model (IFRS) are studied. Similarity rel
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Oktaviani, Dinni Rahma, Muhammad Habiburrohman, and Ijtihadi Kamilia Amalina. "Application of intuitionistic fuzzy sets in determining the major in senior high school." Desimal: Jurnal Matematika 5, no. 3 (2022): 247–54. http://dx.doi.org/10.24042/djm.v5i3.13018.

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Intuitionistic Fuzzy Set (IFS) is useful to construct a model with elaborate uncertainty and ambiguity involved in decision-making. In this paper, the concept relation and operation of intuitionistic fuzzy set and the application in major of senior high school determination using the normalized Euclidean distance method will be reviewed. Some theorem of relation and operation of intuitionistic fuzzy set are proved. In general, to prove the theorem the definition and some basic relation and operation laws of IFS are needed. The distance measure between IFS indicates the difference in grade betw
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Syahwildan, Junda, and Nova Nolza Bakar. "SUATU UKURAN KESAMAAN HIMPUNAN KABUR INTUITIONISTIC BERNILAI INTERVAL DAN APLIKASINYA UNTUK PENGENALAN POLA." Jurnal Matematika UNAND 7, no. 2 (2018): 76. http://dx.doi.org/10.25077/jmu.7.2.76-83.2018.

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Abstrak. Dalam kehidupan sehari-hari biasanya terjadi berbagai kasus yang rumit, di-mana kasus-kasus tersebut banyak sekali mengandung unsur ketidakpastian. Zadeh [6]memperkenalkan suatu teori baru yaitu himpunan kabur (fuzzy set). Kemudian semakinberkembang ilmu pengetahuan, banyak bentuk umum dari fuzzy set yang diusulkan, di-antaranya teori himpunan kabur intuitionistic bernilai interval (IvIFS) yang diusulkanoleh Atanassov, merupakan generalisasi dari teori himpunan kabur bernilai interval(IvFS) dan himpunan kabur intuitionistic (IFS). Salah satu topik penting dalam teorihimpunan kabur yai
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R. Irene Hepzibah and R.Vidhya. "Modified new operations for triangular intuitionistic fuzzy numbers." Malaya Journal of Matematik 2, no. 03 (2014): 301–7. http://dx.doi.org/10.26637/mjm203/017.

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Intuitionistic fuzzy sets (IFS) are a generalization of the concept of fuzzy set. In standard intuitionistic fuzzy arithmetic operations, we have some grievances in subtraction and division operations. In this paper, modified new operations for subtraction and division on triangular intuitionistic fuzzy numbers (TIFNS) are defined. Finally an illustrative example for solving Intuitionistic fuzzy multi-objective linear programming problem (IFMOLPP) using these modified operators is provided.
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Zhang, Zhen Hua, Jing Yu Yang, You Pei Ye, Yong Hu, and Qian Sheng Zhang. "A Novel Dynamic Real Time Controller Based on Score Function of Intuitionistic Fuzzy Sets with Time Parameter." Advanced Materials Research 490-495 (March 2012): 657–63. http://dx.doi.org/10.4028/www.scientific.net/amr.490-495.657.

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In this paper, we first present intuitionistic fuzzy sets with time parameter (IFSTP). Compared with intuitionistic fuzzy set (IFS), IFSTP can provide membership function with time parameter, non-membership function with time parameter, and hesitancy function with time parameter. Thus, IFSTP is more suitable for real-time controller than IFS. Then we propose a type of score function according to IFS and IFSTP. The results of pattern recognition show that the score function method is more effective than conventional distance measure method and similarity measure method. Finally, using the score
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Dissertations / Theses on the topic "Intuitionistic Fuzzy Set (IFS)"

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Peng, Jen-pin, and 彭仁賓. "The Study of Optimizing Multi-response Problems with Intuitionistic Fuzzy Set." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/79486084912217317899.

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博士<br>國立中央大學<br>機械工程學系<br>103<br>The Taguchi method provides an effective framework for improving quality in industry. However, it determines the optimal setting of process parameters according to only single response. For the sake of optimizing multi-response problems, multiple criteria decision making (MCDM) methods have been extensively utilized in recent years. In considering an engineer's opinion in optimizing a multi-response problem, it must be paid to vagueness and hesitancy in revealing his or her perceptions of a fuzzy concept such as 'importance' or 'excellence'. Recently, the notio
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KUMARI, RANJEETA, and SHIVAM SHARMA. "HIERARCHICAL CLUSTERING OF PICTURE FUZZY RELATION." Thesis, 2023. http://dspace.dtu.ac.in:8080/jspui/handle/repository/20420.

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The paper aims to find the (𝛼̃,𝛽̃𝛾̃) - cuts of picture fuzzy relation and apply it to find its hierarchical clustering. we studied the previous results of Intuitionistic fuzzy relation and its (𝛼̃,𝛽̃,𝛾̃) - cuts. We propose a technique of finding 𝛼̃ - cuts of picture fuzzy sets using results of intuitionistic fuzzy set. Membership of PFS mainly deals with positive, negative and neutral membership while IFS only deals with positive and negative membership. In this paper, we attempt to study picture fuzzy set more deeply and providing the more results in picture fuzzy relation that co
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Chia-Yi, Chien, and 簡嘉毅. "An Improved Cross-Entropy Approach for Pattern Recognition Based on Intuitionistic Fuzzy Set." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/98868305678012283391.

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碩士<br>國防大學管理學院<br>運籌管理學系<br>97<br>The thesis addresses the issue of information-theoretic discrimination measures for intuitionistic fuzzy sets (IFSs). Although many measures of distance, similarity, dissimilarity, and correlation between IFSs have been proposed, there is no reference regarding information-driven measures used for comparison between sets. In this work, we introduce the concepts of discrimination information and cross-entropy in the intuitionistic fuzzy sets and improve non-probabilistic entropy proposed by Vlachos & Sergiadis (2007) for IFSs. Based on this entropy measure, we
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Ching-Lin, Lin, and 林敬霖. "Kernel Intuitionistic Fuzzy C-Means Clustering Algorithms with Rough Set for Customer Analysis." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/69926836270687990934.

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碩士<br>龍華科技大學<br>資訊管理系碩士班<br>101<br>Fuzzy C-mean (FCM) algorithms have been widely used in variety of different places. This paper proposes a kernel intuitionistic fuzzy c-means clustering algorithms with rough set (KIFCMRS), and this method is applied to the E-learning data analysis. The rule generation can be divided into two stages for effective rule generation. In the first stage, KIFCM takes advantages of kernel function and intuitionistic fuzzy sets to cluster raw data into similarity groups. In the second stage, the rough set theory is employed to generate rules with different groups. Fi
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Kabir, Sohag, T. K. Goek, M. Kumar, M. Yazdi, and F. Hossain. "A method for temporal fault tree analysis using intuitionistic fuzzy set and expert elicitation." 2019. http://hdl.handle.net/10454/17992.

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Yes<br>Temporal fault trees (TFTs), an extension of classical Boolean fault trees, can model time-dependent failure behaviour of dynamic systems. The methodologies used for quantitative analysis of TFTs include algebraic solutions, Petri nets (PN), and Bayesian networks (BN). In these approaches, precise failure data of components are usually used to calculate the probability of the top event of a TFT. However, it can be problematic to obtain these precise data due to the imprecise and incomplete information about the components of a system. In this paper, we propose a framework that combines
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Ζαφειρόπουλος, Διονύσιος. "Συγκριτική επισκόπηση συστημάτων υποστήριξης της μάθησης". Thesis, 2013. http://hdl.handle.net/10889/6072.

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Τα σύγχρονα πληροφοριακά συστήματα μάθησης τα οποία υποστηρίζουν εξ’ αποστάσεως εκπαίδευση, επιτρέπουν τη συστηματική διαχείριση του εκπαιδευτικού υλικού και υποστηρίζουν τις εκπαιδευτικές διαδικασίες των μαθημάτων. Τα συστήματα αυτά έχουν λειτουργικότητες όπως: η ανάρτηση ψηφιακού υλικού, η διεξαγωγή συζητήσεων, η ανάρτηση ασκήσεων-εργασιών, η πραγματοποίηση εξετάσεων και πολλές άλλες. Στόχος της συγκεκριμένης εργασίας είναι η διερεύνηση του χώρου των συστημάτων μάθησης τα οποία υποστηρίζουν εξ’ αποστάσεως εκπαίδευση καθώς επίσης και η παρουσίαση και η εφαρμογή μεθόδου αξιολόγησης τους, αξιο
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Books on the topic "Intuitionistic Fuzzy Set (IFS)"

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Som, Tanmoy, Oscar Castillo, Anoop Kumar Tiwari, and Shivam Shreevastava, eds. Fuzzy, Rough and Intuitionistic Fuzzy Set Approaches for Data Handling. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-19-8566-9.

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Chaira, Tamalika. Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set. Wiley & Sons, Incorporated, John, 2019.

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Chaira, Tamalika. Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set. Wiley, 2019.

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Chaira, Tamalika. Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set. Wiley & Sons, Limited, John, 2019.

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Chaira, Tamalika. Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set. Wiley & Sons, Incorporated, John, 2019.

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Tiwari, Anoop Kumar, Shivam Shreevastava, Oscar Castillo, and Tanmoy Som. Fuzzy, Rough and Intuitionistic Fuzzy Set Approaches for Data Handling: Theory and Applications. Springer, 2023.

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Book chapters on the topic "Intuitionistic Fuzzy Set (IFS)"

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Mishra, Akansha, and Amit Kumar. "JMD Approach for Solving Unbalanced Fully Trapezoidal Intuitionistic Fuzzy Transportation Problems." In Aggregation Operators for Various Extensions of Fuzzy Set and Its Applications in Transportation Problems. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-6998-2_4.

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Mishra, Akansha, and Amit Kumar. "JMD Approach for Solving Unbalanced Fully Generalized Trapezoidal Intuitionistic Fuzzy Transportation Problems." In Aggregation Operators for Various Extensions of Fuzzy Set and Its Applications in Transportation Problems. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-6998-2_5.

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Mishra, Akansha, and Amit Kumar. "Vaishnavi Approach for Solving Triangular Intuitionistic Transportation Problems of Type-2." In Aggregation Operators for Various Extensions of Fuzzy Set and Its Applications in Transportation Problems. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-6998-2_3.

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Atanassov, Krassimir T. "Intuitionistic Fuzzy Relations (IFRs)." In On Intuitionistic Fuzzy Sets Theory. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29127-2_8.

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Li, Deng-Feng. "Intuitionistic Fuzzy Set Theories." In Decision and Game Theory in Management With Intuitionistic Fuzzy Sets. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40712-3_1.

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Wu, Le-tao, and Xue-hai Yuan. "Intuitionistic Fuzzy Rough Set Based on the Cut Sets of Intuitionistic Fuzzy Set." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66514-6_4.

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Gupta, Krishna Kumar, and Sanjay Kumar. "Probabilistic Intuitionistic Fuzzy Set Based Intuitionistic Fuzzy Time Series Forecasting Method." In Mathematical Modelling and Scientific Computing with Applications. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1338-1_23.

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Cattaneo, Gianpiero, and Davide Ciucci. "A Survey on the Algebras of the So–Called Intuitionistic Fuzzy Sets (IFS)." In Fuzzy Logic and Applications. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-02282-1_12.

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Rajkumar, A., and C. Jesuraj. "Solution of Fuzzy Differential Equation of Order 2 by Intuitionistic Fuzzy Numbers (IFS)." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-30465-2_33.

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Zhang, Yanqin, and Xibei Yang. "An Intuitionistic Fuzzy Dominance–Based Rough Set." In Bio-Inspired Computing and Applications. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-24553-4_88.

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Conference papers on the topic "Intuitionistic Fuzzy Set (IFS)"

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Cui, Hao, Kaihua Jiang, Yunpeng Liu, Qing Tian, and Jingyuan Chen. "Adaptive construction method of high-quality electricity user portrait based on intuitionistic fuzzy set." In 2024 4th International Conference on Electrical Engineering and Control Science (IC2ECS). IEEE, 2024. https://doi.org/10.1109/ic2ecs64405.2024.10927729.

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Xu, Yong-jie, Yong-kan Sun, and Deng-feng Li. "Intuitionistic Fuzzy Soft Set." In 2010 2nd International Workshop on Intelligent Systems and Applications (ISA). IEEE, 2010. http://dx.doi.org/10.1109/iwisa.2010.5473444.

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Lu, Yanli, Yingjie Lei, and Yang Lei. "Intuitionistic fuzzy rough set based on intuitionistic similarity relation." In 2008 Chinese Control and Decision Conference (CCDC). IEEE, 2008. http://dx.doi.org/10.1109/ccdc.2008.4597422.

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Xu, Yon-Hong, and Wei-Zhi Wu. "On intuitionistic fuzzy rough set algebras." In 2010 International Conference on Machine Learning and Cybernetics (ICMLC). IEEE, 2010. http://dx.doi.org/10.1109/icmlc.2010.5580541.

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Nair, Premchand S. "Consolidation operator for Intuitionistic Fuzzy Set." In NAFIPS 2009 - 2009 Annual Meeting of the North American Fuzzy Information Processing Society. IEEE, 2009. http://dx.doi.org/10.1109/nafips.2009.5156483.

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Zenian, Suzelawati, Tahir Ahmad, and Amidora Idris. "Intuitionistic fuzzy set: FEEG image representation." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH2018): Innovative Technologies for Mathematics & Mathematics for Technological Innovation. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5136486.

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Kumar, Deepak, and S. B. Singh. "Evaluating fuzzy reliability using rough intuitionistic fuzzy set." In 2014 Innovative Applications of Computational Intelligence on Power, Energy and Controls with their Impact on Humanity (CIPECH). IEEE, 2014. http://dx.doi.org/10.1109/cipech.2014.7019037.

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Bertei, Alex, Renata H. S. Reiser, and Luciana Foss. "An Application for Medical Diagnosis Using Correlation Coefficient With Modal Operators and Operator Identifying and Unary." In Workshop-Escola de Informática Teórica. Sociedade Brasileira de Computação, 2021. http://dx.doi.org/10.5753/weit.2021.18919.

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This paper aims to study the Atanassov's correlation coefficient (A-CC) between two of Atanassov's intuitionistic fuzzy sets (A-IFS), obtained as images of intuitionistic fuzzy modal operators. The composition of modal operators are investigated, verifying under which conditions an A-CC preserves the main properties related to conjugate and complement operations performed on A-IFS. In addition, a simulation based on the proposal methodology using operators described above is applied to a medical diagnosis analysis.
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Khatibi, Vahid, and Gholam Ali Montazer. "Intuitionistic fuzzy set application in bacteria recognition." In 2009 14th International CSI Computer Conference (CSICC 2009) (Postponed from July 2009). IEEE, 2009. http://dx.doi.org/10.1109/csicc.2009.5349609.

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Chaira, Tamalika. "Medical image enhancement using intuitionistic fuzzy set." In 2012 1st International Conference on Recent Advances in Information Technology (RAIT). IEEE, 2012. http://dx.doi.org/10.1109/rait.2012.6194479.

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