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A tendency coefficient-driven Pythagorean fuzzy distance approach for selection problems in higher education and medical waste management. [PDF]

Sci Rep
Ejegwa PA, Anum MT, Kausar N, Nurgaliyeva A, Salman MA.   +4 more
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Correlation of interval-valued intuitionistic fuzzy sets

Fuzzy Sets and Systems, 1995
Abstract In this paper we introduce the concepts of correlation and correlation coefficient of interval-valued intuitionistic fuzzy sets and we study their first properties. We also introduce two decomposition theorems of the correlation of interval-valued intuitionistic fuzzy sets, one in terms of the correlation of interval-valued fuzzy sets and ...
Humberto Bustince
exaly   +2 more sources

Interval valued intuitionistic fuzzy sets

Fuzzy Sets and Systems, 1989
The intuitionistic fuzzy sets (IFS's) of the first author [Fuzzy Sets Syst. 20, 87--96 (1986; Zbl 0631.03040)] are at each point of a given universe of discourse characterized by a pair of degrees: one for membership and the other for non-membership.
K Atanassov
exaly   +3 more sources

Ranking of interval-valued intuitionistic fuzzy sets

Applied Soft Computing Journal, 2011
Abstract 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, Geetha Sivaraman   +1 more
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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), 2019
Following 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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Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets

Fuzzy Sets and Systems, 1996
Let \(X\) be a nonempty fixed set (universe). An intuitionistic fuzzy set (IFS) \(A\) is an object having the form \(A=\{\langle x,\mu_A(x),\gamma_A(x)\rangle\): \(x\in X\}\) where the functions \(\mu_A:X\to [0,1]\) and \(\gamma_A:X\to [0,1]\) denote the degrees of membership and of non-membership of each element \(x\in X\) to the set \(A\), resp., and
Pedro J. Burillo, Humberto Bustince
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Topology of interval-valued intuitionistic fuzzy sets

Fuzzy Sets and Systems, 2001
The concept of interval-valued intuitionistic fuzzy set (IVIFS) was introduced by the reviewer and \textit{G. Gargov} [Fuzzy Sets Syst. 31, No. 3, 343-349 (1989; Zbl 0674.03017)]. In the present paper one of the possible topologies over IVIFSs is defined and some of its properties are studied.
Tapas Kumar Mondal, Syamal Kumar Samanta
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Cut Sets on Interval-Valued Intuitionistic Fuzzy Sets

2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery, 2009
The 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, Hongxing Li 0004
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Simplified interval-valued intuitionistic fuzzy sets with intuitionistic fuzzy numbers

Journal of Intelligent & Fuzzy Systems, 2016
There 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,
Peijia Ren, Zeshui Xu, Qian Lei
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Intuitionistic Interval-Valued Fuzzy Sets

Journal of Korean Institute of Intelligent Systems, 2010
We 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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