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Correlation of interval-valued intuitionistic fuzzy sets
Fuzzy Sets and Systems, 1995Abstract 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
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Interval valued intuitionistic fuzzy sets
Fuzzy Sets and Systems, 1989The 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.
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On n-polygonal interval-valued fuzzy sets
Fuzzy Sets and Systems, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chunfeng Suo +2 more
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APPLICATION OF INTERVAL VALUED FUZZY SET AND SOFT SET
jnanabha, 2020Molodtsov was a father of soft set approach. We can’t easily settle the membership degree in some practical application. So it must be much better to describe interval-valued data instead of explaining membership degree. In this paper, we introduce the latest approach of the interval-valued fuzzy soft set by combining the interval-valued fuzzy set and ...
Rheem, Abdul, Ahmad, Musheer
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On the cardinalities of interval-valued fuzzy sets
Fuzzy Sets and Systems, 2007The paper deals with one of the possible extensions of axiomatic theory of scalar cardinalities of fuzzy sets with finite support. The extension is related to the interval-valued fuzzy sets. Their cardinality is introduced as a mapping to the set of closed subintervals of non-negative real numbers.
Glad Deschrijver, Pavol Král
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Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets
Fuzzy Sets and Systems, 1996Let \(X\) 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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Note on Interval-Valued Fuzzy Set
2005In this note, we introduce the concept of cut set of interval-valued fuzzy set and discuss some properties of cut set of interval-valued fuzzy set, propose three decomposition theorems of interval-valued fuzzy set and investigate some properties of cut set of interval-valued fuzzy set and mapping H in detail.
Wenyi Zeng, Yu Shi
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REPRESENTATION THEOREM OF INTERVAL-VALUED FUZZY SET
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2006In this paper, we introduce the concept of interval-valued nested set on the universal set X, propose two representation theorems and equivalent classification theorem of interval-valued fuzzy set. These works can be used in setting up the basic theory of interval-valued fuzzy set.
Wenyi Zeng, Yu Shi, Hongxing Li 0004
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Uninorms on Interval-Valued Fuzzy Sets
2016This paper is a kind of continuation of the paper by G. Deschrijver ‘Uninorms which are neither conjunctive nor disjunctive in interval-valued fuzzy set theory’, which was published in Information Sciences in 2013. In that paper he constructed uninorms whose neutral element is arbitrary of the type \({\mathbf e}=(e,e)\) and annihilator, \(\mathbf {a}\),
Martin Kalina, Pavol Král
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