Results 141 to 150 of about 72,314 (204)

Distances between interval-valued fuzzy sets

NAFIPS 2009 - 2009 Annual Meeting of the North American Fuzzy Information Processing Society, 2009
In this paper, some researches on distances of interval-valued fuzzy sets are made and some properties of metric space with respect to these distances are discussed.
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RELATING INTUITIONISTIC FUZZY SETS AND INTERVAL-VALUED FUZZY SETS THROUGH BILATTICES

Applied Computational Intelligence, 2004
In this paper, we show that bilattices are robust mathematical structures that provide a natural accommodation to, and bridge between, intuitionistic fuzzy sets and interval-valued fuzzy sets. In this way, we resolve the controversy surrounding the formal equivalence of these two models, and open up the path for a new tradition for representing ...
O. ARIELI, C. CORNELIS, G. DESCHRIJVER, E. E. KERRE   +3 more
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Interval-valued intuitionistic fuzzy sets and similarity measure

2017
Summary: 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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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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Generalized arithmetic operations in interval-valued fuzzy set theory

Journal of Intelligent & Fuzzy Systems, 2005
We generalize the addition, subtraction, multiplication and division on L $^{I}$ defined in [4], where L $^I$ is the underlying lattice of both interval-valued fuzzy set theory [14] and intuitionistic fuzzy set theory [1].
Glad Deschrijver, Annelies Vroman
semanticscholar   +1 more source

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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A new efficient decision making algorithm based on interval-valued fuzzy soft set

Applied intelligence (Boston), 2020
Xiuqin Ma, Qinghua Fei, Hongwu Qin, Huifang Li, Wanghu Chen   +4 more
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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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