Results 171 to 180 of about 2,909,225 (212)

Interval-Valued Intuitionistic Fuzzy Sets

Studies in Fuzziness and Soft Computing, 2020
Krassimir Atanassov
exaly   +2 more sources

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.
S K Samanta
exaly   +4 more sources

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
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.
Atanassov, K., Gargov, G.
exaly   +3 more sources

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
openaire   +2 more sources

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
openaire   +1 more source

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