Results 171 to 180 of about 5,443 (203)
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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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Fuzzy Sets and Systems, 2005
This is a category-theoretically based study of the appropriateness of different recent ``generalizations'' of the notion of fuzzy set. The authors prove that almost all of these generalizations of the standard notion of fuzzy set with the real unit interval as the membership degree structure become theoretically obsolete from the unifying point of ...
Gutiérrez García, J., Rodabaugh, S. E.
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This is a category-theoretically based study of the appropriateness of different recent ``generalizations'' of the notion of fuzzy set. The authors prove that almost all of these generalizations of the standard notion of fuzzy set with the real unit interval as the membership degree structure become theoretically obsolete from the unifying point of ...
Gutiérrez García, J., Rodabaugh, S. E.
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Dominance-Based Ranking Functions for Interval-Valued Intuitionistic Fuzzy Sets
IEEE Transactions on Cybernetics, 2014The ranking of interval-valued intuitionistic fuzzy sets (IvIFSs) is difficult since they include the interval values of membership and nonmembership. This paper proposes ranking functions for IvIFSs based on the dominance concept. The proposed ranking functions consider the degree to which an IvIFS dominates and is not dominated by other IvIFSs. Based
Liang-Hsuan, Chen, Chien-Cheng, Tu
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Interval-Valued Intuitionistic Fuzzy Soft Rough Sets
2015In this chapter, the concept of interval-valued intuitionistic fuzzy soft rough sets is introduced. Also interval-valued intuitionistic fuzzy soft rough set-based multi-criteria group decision-making scheme is presented, which refines the primary evaluation of the whole expert group and enables us to select the optimal object in a most reliable manner.
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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.
Garg, Harish, Rani, Dimple
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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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2012 2nd International Conference on Consumer Electronics, Communications and Networks (CECNet), 2012
This paper presents a general framework for the study of (I, T)-interval-valued intuitionistic fuzzy rough sets integrating the intuitionistic rough set with the interval-valued fuzzy set theory by axiomatic approaches. Some primary properties of interval-valued fuzzy logical operators are first introduced and a pair of lower and upper interval-valued ...
Fei Xu, Haidong Yin, Qiufeng Wu
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This paper presents a general framework for the study of (I, T)-interval-valued intuitionistic fuzzy rough sets integrating the intuitionistic rough set with the interval-valued fuzzy set theory by axiomatic approaches. Some primary properties of interval-valued fuzzy logical operators are first introduced and a pair of lower and upper interval-valued ...
Fei Xu, Haidong Yin, Qiufeng Wu
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Interval Cut-Set of Generalized Interval-Valued Intuitionistic Fuzzy Sets
International Journal of Fuzzy System Applications, 2012In this paper, some different types of interval cut-set of genaralized interval-valued intuitionistic fuzzy sets (GIVIFSs), complement of these cut-sets are introduced. Some properties of those cut-set of GIVIFSs are investigated. Also three decomposition theorems of GIVIFSs are obtained based on the different cut-set of GIVIFSs.
Amal Kumar Adak +2 more
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New distance measures between intuitionistic fuzzy sets and interval-valued fuzzy sets
Information Sciences, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Huimin, Yu, Liying
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Some Operations on Interval-Valued Intuitionistic Fuzzy Sets
2013 International Conference on Computational and Information Sciences, 2013Interval-valued intuitionistic fuzzy set theory is a powerful tool for dealing with uncertainty of knowledge in information systems. In this paper, we first introduce some concepts and operations of interval-valued intuitionistic fuzzy sets. Then we give some important properties about the operations on interval-valued intuitionistic fuzzy sets.
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