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A note on correlation of interval-valued intuitionistic fuzzy sets

Fuzzy Sets and Systems, 1998
\textit{T. Gerstenkorn} and \textit{J. Manko} defined [Fuzzy Sets Syst. 44, 39-43 (1991; Zbl 0742.04008)] the correlation between two intuitionistic fuzzy sets (IFS), introduced by \textit{K. Atanassov} [Fuzzy Sets Syst. 20, 87-96 (1986; Zbl 0631.03040)], who, together with \textit{G. Gargov}, also introduced the concept of interval valued IFSs (IVIFSs)
Dug Hun Hong
exaly   +3 more sources

Entropy on intuitionistic fuzzy soft sets and on interval-valued fuzzy soft sets

Information Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuncheng Jiang
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Multiple attribute decision making based on interval-valued intuitionistic fuzzy sets, linear programming methodology, and the extended TOPSIS method

open access: yesInformation Sciences, 2017
In recent years, some multiple attribute decision making (MADM) methods have been presented based on interval-valued intuitionistic fuzzy sets (IVIFSs). In this paper, we propose a new MADM method based on IVIFSs, the linear programming (LP) methodology,
Shyi-Ming Chen
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A Generalized Interval Valued Intuitionistic Fuzzy Sets theory

open access: yesProcedia Engineering, 2011
In this paper, a novel generalized interval-valued intuitionistic fuzzy sets (GIVIFS) is presented, which is the generalization of conventional intuitionistic fuzzy sets (IFS) and interval-valued intuitionistic fuzzy sets (IVIFS). By analyzing the degree
Yang Jingyu
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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
openaire   +1 more source

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

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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Correlation coefficient of interval-valued intuitionistic fuzzy sets

2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2011
In this paper, we propose a new method to calculate correlation and correlation coefficient of interval-valued intuitionistic fuzzy sets which is similar to the cosine of the intersectional angle in a finite set and probability space. Further, we investigate their properties and propose three numerical examples to illustrate our proposed method ...
Wenyi Zeng, Jiayin Wang
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Entropy on Interval-Valued Intuitionistic Fuzzy Soft Set

2015 IEEE International Conference on Computer and Information Technology; Ubiquitous Computing and Communications; Dependable, Autonomic and Secure Computing; Pervasive Intelligence and Computing, 2015
In this paper, the concept of soft entropy is firstlyproposed to measure the intrinsic uncertainty of a soft set. For interval-valued intuitionistic fuzzy soft sets, axiomaticaldefinitions of intuitionistic entropy, fuzzy entropy and soft en-tropy are proposed. The corresponding calculate formulae aregiven respectively. Different types of uncertainties
Yaya Liu, Keyun Qin
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