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Simplified interval-valued intuitionistic fuzzy sets with intuitionistic fuzzy numbers
Journal of Intelligent & Fuzzy Systems, 2016There 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, 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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Correlation coefficient of interval-valued intuitionistic fuzzy sets
2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2011In 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, 2015In 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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Quintuple Implication Principle on interval-valued intuitionistic fuzzy sets
Soft Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianhua Jin, Mingfei Ye, Witold Pedrycz
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2020
In the present paper we consider intuitionistic fuzzy sets, interval valued intuitionistic fuzzy sets and picture fuzzy sets. We discuss the similarities and differences between them.
Peter Vassilev, Krassimir Atanassov
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In the present paper we consider intuitionistic fuzzy sets, interval valued intuitionistic fuzzy sets and picture fuzzy sets. We discuss the similarities and differences between them.
Peter Vassilev, Krassimir Atanassov
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Generalized interval-valued hesitant intuitionistic fuzzy soft sets
Journal of Intelligent & Fuzzy Systems, 2021This paper aims to extend the Interval-valued Intuitionistic Hesitant Fuzzy Set to a Generalized Interval-valued Hesitant Intuitionistic Fuzzy Soft Set (GIVHIFSS). Definition of a GIVHIFSS and some of their operations are defined, and some of their properties are studied. In these GIVHIFSSs, the authors have defined complement, null, and absolute. Soft
Admi Nazra +4 more
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Entropy of Dynamical Systems on Interval-Valued Intuitionistic Fuzzy Sets
New Mathematics and Natural Computation, 2022In this work, we introduce the concepts of Shannon entropy and conditional entropy of experiments in the interval-valued intuitionistic fuzzy case, and study the basic properties of the information measures. Subsequently, by means of the suggested notion of entropy of partitions, we define the entropy of a dynamical system on interval-valued ...
Zohreh Nazari +3 more
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An Interval-Valued Intuitionistic Fuzzy Rough Set Model
Fundamenta Informaticae, 2009Given a widespread interest in rough sets as being applied to various tasks of data analysis it is not surprising at all that we have witnessed a wave of further generalizations and algorithmic enhancements of this original concept. This paper proposes an interval-valued intuitionistic fuzzy rough model by means of integrating the classical Pawlak ...
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International Journal of Fuzzy Systems, 2019
The purpose of this paper is to propose the novel generalized exponential intuitionistic fuzzy entropy (GIFE) and generalized exponential interval valued intuitionistic fuzzy entropy (GIVIFE) with interval area. First, we propose a novel GIFE. Then we compare the new GIFE with the existing intuitionistic fuzzy entropy (IFE) measures.
An-Peng Wei +3 more
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The purpose of this paper is to propose the novel generalized exponential intuitionistic fuzzy entropy (GIFE) and generalized exponential interval valued intuitionistic fuzzy entropy (GIVIFE) with interval area. First, we propose a novel GIFE. Then we compare the new GIFE with the existing intuitionistic fuzzy entropy (IFE) measures.
An-Peng Wei +3 more
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