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A Novel Similarity Measure for Interval-Valued Intuitionistic Fuzzy Sets and Its Applications
Minxia Luo, Jingjing Liang
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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.
Zeng, Wenyi, Shi, Yu, Li, Hongxing
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Note on Interval-Valued Fuzzy Set
International Conference on Fuzzy Systems and Knowledge Discovery, 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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On n-polygonal interval-valued fuzzy sets
Fuzzy Sets and Systems, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Suo, Chunfeng, Li, Yongming, Li, Zhihui
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IEEE transactions on fuzzy systems, 2020
This paper addresses the commonly used methods for solving multiple attribute group decision-making problems under an interval-valued intuitionistic fuzzy environment.
Hoang Nguyen
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This paper addresses the commonly used methods for solving multiple attribute group decision-making problems under an interval-valued intuitionistic fuzzy environment.
Hoang Nguyen
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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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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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