Results 161 to 170 of about 38,295 (192)

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

Fuzzy Sets and Systems, 1996
Let \(X\) be a nonempty fixed set (universe). An intuitionistic fuzzy set (IFS) \(A\) is an object having the form \(A=\{\langle x,\mu_A(x),\gamma_A(x)\rangle\): \(x\in X\}\) where the functions \(\mu_A:X\to [0,1]\) and \(\gamma_A:X\to [0,1]\) denote the degrees of membership and of non-membership of each element \(x\in X\) to the set \(A\), resp., and
Burillo, P., Bustince, H.
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Some comments on interval valued fuzzy sets

International Journal of Intelligent Systems, 1996
The paper deals with fuzzy set theoretical models where the values of membership functions are open sub-intervals of \([0,1]\). The concepts of \(t\)-norm and \(t\)-conorm are used as the main theoretical tools for managing the described model. The adequacy of \(t\)-norms for the considered fuzzy set theoretical structures is shown by the main results ...
Gehrke, Mai, Walker, Carol, Walker, Elbert   +2 more
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An Interval-Valued Intuitionistic Fuzzy Rough Set Model

Fundamenta Informaticae, 2009
Given 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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Entropy for Interval-Valued Fuzzy Sets

2009
A non-probabilistic-type entropy measure for interval-valued fuzzy set (IVFS) is proposed. It is a result of a geometric interpretation of IVFS and uses a ratio of distances between them. It is also shown that the proposed measure can be defined in terms of the ratio of interval-valued fuzzy cardinalities: of F ∩ F c and F ∪ F c .
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On Interval Valued Intuitionistic Fuzzy Sets

2019
In this chapter, the basic definitions of the concepts of Interval Valued Fuzzy Sets (IVFSs) and Interval Valued Intuitionistic Fuzzy Sets (IVIFSs) will be introduced. The relation between IFSs and IVFSs will be discussed.
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Algebraic structure through interval-valued fuzzy signature based on interval-valued fuzzy sets

Granular Computing, 2023
Sangeetha Palanisamy, Jayaraman Periyasamy   +1 more
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Soft Interval-Valued Intuitionistic Fuzzy Rough Sets

2015
The vagueness or the representation of imperfect knowledge has been a problem for a long time for the mathematicians. There are many mathematical tools for dealing with uncertainties; some of them are fuzzy set theory, rough set theory, and soft set theory.
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Interval-Valued Intuitionistic Fuzzy Soft Rough Sets

2015
In 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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Interval-Valued Intuitionistic Fuzzy Sets

2020
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INTERVAL-VALUED FERMATEAN FUZZY SETS

Interval-valued Fermatean fuzzy set (IVFFS) merupakan salah satu perluasan dari teori fuzzy set yang menawarkan kemampuan lebih baik dalam merepresentasikan dan menangani ketidakpastian tingkat tinggi. Tulisan ini memperkenalkan berbagai operasi dasar pada IVFFS beserta pembahasan sifat-sifat aljabarnya, seperti sifat komutatif, asosiatif, distributif,
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