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A Novel Evidence-Based Framework for Picture Fuzzy Sets: Theory and Applications of Belief and Plausibility. [PDF]
Entropy (Basel)Hussain R +3 more
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Information measures for hesitant fuzzy sets and interval-valued hesitant fuzzy sets
Information Sciences, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bahram Farhadinia
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Decomposition theorems and extension principles for hesitant fuzzy sets [PDF]
Information Fusion, 2018 We prove a decomposition theorem for hesitant fuzzy sets, which states that every typical hesitant fuzzy set on a set can be represented by a well-structured family of fuzzy sets on that set.
Vicenç Torra, José Carlos R Alcantud
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On hesitant fuzzy sets and decision
2009 IEEE International Conference on Fuzzy Systems, 2009Intuitionistic Fuzzy Sets (IFS) are a generalization of fuzzy sets where the membership is an interval. That is, membership, instead of being a single value, is an interval. A large number of operations have been defined for this type of fuzzy sets, and several applications have been developed in the last years. In this paper we describe hesitant fuzzy
Vicenç Torra, Yasuo Narukawa
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Journal of Intelligent & Fuzzy Systems, 2016
Convex hesitant fuzzy sets are define as an extension of convex fuzzy sets. Also level sets are defined for hesitant fuzzy sets and discussed with their convexity. We focus on aggregation functions for hesitant fuzzy elements. These aggregation functions are further extended for hesitant fuzzy sets as well as for the convex structures of these sets.
Tabasam Rashid, Ismat Beg
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Convex hesitant fuzzy sets are define as an extension of convex fuzzy sets. Also level sets are defined for hesitant fuzzy sets and discussed with their convexity. We focus on aggregation functions for hesitant fuzzy elements. These aggregation functions are further extended for hesitant fuzzy sets as well as for the convex structures of these sets.
Tabasam Rashid, Ismat Beg
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Int. J. Intell. Syst., 2018
The hesitant fuzzy sets are a new efficient mathematical approach to study imprecise, uncertain, or incomplete knowledge. This paper focuses to extend this approach on a lattice and shows that two large application concepts of the fuzzy set theory namely resolution identity and representation theorem are true under this extended definition.
Alireza Hosseini Dehmiry +2 more
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The hesitant fuzzy sets are a new efficient mathematical approach to study imprecise, uncertain, or incomplete knowledge. This paper focuses to extend this approach on a lattice and shows that two large application concepts of the fuzzy set theory namely resolution identity and representation theorem are true under this extended definition.
Alireza Hosseini Dehmiry +2 more
+4 more sources
International Journal of Intelligent Systems, 2010
Partial support by the Spanish MEC (projects ARES – CONSOLIDER INGENIO 2010 CSD2007-00004 and eAEGIS – TSI2007-65406-C03-02) is acknowledged. The research was partially carried out while the author was at the University of Tsukuba.
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Partial support by the Spanish MEC (projects ARES – CONSOLIDER INGENIO 2010 CSD2007-00004 and eAEGIS – TSI2007-65406-C03-02) is acknowledged. The research was partially carried out while the author was at the University of Tsukuba.
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Information Systems on Hesitant Fuzzy Sets
International Journal of Rough Sets and Data Analysis, 2016Knowledge extraction from information systems is one of the most significant problems in artificial intelligence. This paper attempts to study information systems in the hesitant fuzzy domain. It studies information systems which has a set of possible membership values. Illustration of a case is provided where the hesitant membership values are arrived
D. Deepak, Sunil Jacob John
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Typical hesitant fuzzy rough sets
2015 International Conference on Machine Learning and Cybernetics (ICMLC), 2015This paper studies the constructive approach for rough set approximation operators in the typical hesitant fuzzy environment where the typical hesitant fuzzy set (THFS) is a generalization of the classical fuzzy set by possessing a membership degree of a finite non-empty subset of the unitary interval.
Hong-Ying Zhang 0001, Shu Yun Yang
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