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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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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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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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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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Complex Interval-valued Intuitionistic Fuzzy Sets and their Aggregation Operators
Fundamenta Informaticae, 2019The objective of this manuscript is to present the concept of the complex interval-valued intuitionistic fuzzy (CIVIF) set, their algebraic operations and their corresponding aggregation operators, which can better represent the time-periodic problems and two-dimensional information in a single set.
Harish Garg, Dimple Rani
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Interval valued intuitionistic fuzzy sets in $$\Gamma $$ Γ -semihypergroups
International Journal of Machine Learning and Cybernetics, 2014The notion of interval valued intuitionistic fuzzy sets was introduced by Atanassov and Gargov as a generalization of the notion of intuitionistic fuzzy sets and interval valued fuzzy sets. In this paper, we initiate a study on interval valued intuitionistic fuzzy sets in \(\Gamma \)-semihypergroups.
Saleem Abdullah +2 more
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Interval-valued intuitionistic fuzzy sets and similarity measure
2017Summary: In this paper, the problem of measuring the degree of inclusion and similarity measure for two interval-valued intuitionistic fuzzy sets is considered. We propose inclusion and similarity measure by using order on interval-valued intuitionistic fuzzy sets connected with lexicographical order.
Pekala, Barbara, Balicki, Krzysztof
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An interval-valued rough intuitionistic fuzzy set model
International Journal of General Systems, 2010Rough set theory is a powerful tool for dealing with uncertainty, granuality and incompleteness of knowledge in information systems. This paper presents an interval-valued rough intuitionistic fuzzy (IF) set model by means of integrating the classical Pawlak rough set theory with the interval-valued IF set theory. In this paper, we first introduce some
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