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Operators over interval valued intuitionistic fuzzy sets
Fuzzy Sets and Systems, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Krassimir T Atanassov
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Ranking of interval-valued intuitionistic fuzzy sets
Applied Soft Computing, 2011Abstract Out of several generalizations of fuzzy set theory for various objectives, the notions of intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets are interesting and very useful in modeling real life problems. The ranking of fuzzy numbers was studied by many authors and it was extended to intuitionistic fuzzy sets because of ...
V. Lakshmana Gomathi Nayagam +1 more
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Intuitionistic Interval-Valued Fuzzy Sets
Journal of Korean Institute of Intelligent Systems, 2010We introduce the notion of intuitionistic interval-valued fuzzy sets as the another generalization of interval-valued fuzzy sets and intuitionistic fuzzy sets and hence fuzzy sets. Also we introduce some operations over intuitionistic interval-valued fuzzy sets.
Min-Seok Cheong, Kul Hur
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Simplified interval-valued intuitionistic fuzzy sets with intuitionistic fuzzy numbers
Journal of Intelligent & Fuzzy Systems, 2016There has been a growing interest and activity in the field of interval-valued intuitionistic fuzzy sets (IVIFSs). It is generally useful to express the variations of the membership function and the non-membership function in fuzzy circumstances. However, the IVIFS is a little bit complicated on expressions and calculations. To overcome this limitation,
Ren, Peijia, Xu, Zeshui, Lei, Qian
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Distance Measures for Intuitionistic Fuzzy Sets and Interval Valued Intuitionistic Fuzzy Sets
2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2019Following the importance of distance measures in pattern classification, and their application to many kinds of data, crisp, fuzzy, etc, distance measures between intuitionistic fuzzy sets (IFSs) are proposed and generalized to distances between interval valued intuitionistic fuzzy sets (IVIFSs).
Leila Baccour, Adel M. Alimi
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Cut Sets on Interval-Valued Intuitionistic Fuzzy Sets
2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery, 2009The aim of this article is to study the cut sets of interval valued intuitionistic fuzzy sets. By considering the cut sets of an interval-valued intuitionistic fuzzy set as five valued fuzzy sets, the definitions of four cut sets on interval-valued intuitionistic fuzzy sets are given, which are the generalizations of cuts sets on Zadeh fuzzy sets and ...
Xue-Hai Yuan, Hong-xing Li
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Quintuple Implication Principle on interval-valued intuitionistic fuzzy sets
Soft Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin, Jianhua +2 more
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Interval-valued intuitionistic fuzzy sets and similarity measure
2017Summary: In this paper, the problem of measuring the degree of inclusion and similarity measure for two interval-valued intuitionistic fuzzy sets is considered. We propose inclusion and similarity measure by using order on interval-valued intuitionistic fuzzy sets connected with lexicographical order.
Pekala, Barbara, Balicki, Krzysztof
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2020
In the present paper we consider intuitionistic fuzzy sets, interval valued intuitionistic fuzzy sets and picture fuzzy sets. We discuss the similarities and differences between them.
Peter Vassilev, Krassimir Atanassov
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In the present paper we consider intuitionistic fuzzy sets, interval valued intuitionistic fuzzy sets and picture fuzzy sets. We discuss the similarities and differences between them.
Peter Vassilev, Krassimir Atanassov
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Generalized interval-valued hesitant intuitionistic fuzzy soft sets
Journal of Intelligent & Fuzzy Systems, 2021This paper aims to extend the Interval-valued Intuitionistic Hesitant Fuzzy Set to a Generalized Interval-valued Hesitant Intuitionistic Fuzzy Soft Set (GIVHIFSS). Definition of a GIVHIFSS and some of their operations are defined, and some of their properties are studied. In these GIVHIFSSs, the authors have defined complement, null, and absolute. Soft
Nazra, Admi +4 more
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