Results 221 to 230 of about 2,637 (261)

Note on Interval-Valued Fuzzy Set

2005
In this note, we introduce the concept of cut set of interval-valued fuzzy set and discuss some properties of cut set of interval-valued fuzzy set, propose three decomposition theorems of interval-valued fuzzy set and investigate some properties of cut set of interval-valued fuzzy set and mapping H in detail.
Wenyi Zeng, Yu Shi
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Cut Sets on Interval-Valued Intuitionistic Fuzzy Sets

2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery, 2009
The aim of this article is to study the cut sets of interval valued intuitionistic fuzzy sets. By considering the cut sets of an interval-valued intuitionistic fuzzy set as five valued fuzzy sets, the definitions of four cut sets on interval-valued intuitionistic fuzzy sets are given, which are the generalizations of cuts sets on Zadeh fuzzy sets and ...
Xue-Hai Yuan, Hongxing Li 0004
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Uninorms on Interval-Valued Fuzzy Sets

2016
This paper is a kind of continuation of the paper by G. Deschrijver ‘Uninorms which are neither conjunctive nor disjunctive in interval-valued fuzzy set theory’, which was published in Information Sciences in 2013. In that paper he constructed uninorms whose neutral element is arbitrary of the type \({\mathbf e}=(e,e)\) and annihilator, \(\mathbf {a}\),
Martin Kalina, Pavol Král
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Lattice representations of interval-valued fuzzy sets

Fuzzy Sets and Systems, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marijana Gorjanac-Ranitovic, Aleksandar Petojevic   +1 more
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Properties of interval-valued hesitant fuzzy sets

Journal of Intelligent & Fuzzy Systems, 2014
Interval-valued hesitant fuzzy sets (IVHFSs), as an extension of hesitant fuzzy sets, can account for the membership degrees of an element to a given set having a few different interval values, which provides an intuitionistic description on the differences among decision makers.
Na Chen, Zeshui Xu
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Topology of interval-valued intuitionistic fuzzy sets

Fuzzy Sets and Systems, 2001
The concept of interval-valued intuitionistic fuzzy set (IVIFS) was introduced by the reviewer and \textit{G. Gargov} [Fuzzy Sets Syst. 31, No. 3, 343-349 (1989; Zbl 0674.03017)]. In the present paper one of the possible topologies over IVIFSs is defined and some of its properties are studied.
Tapas Kumar Mondal, Syamal Kumar Samanta
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Approximate Reasoning with Interval-Valued Fuzzy Sets

2008 Fifth International Conference on Fuzzy Systems and Knowledge Discovery, 2008
In this paper, the authors use the similarity measure of interval-valued fuzzy sets to investigate approximate reasoning with interval-valued fuzzy sets, propose two mathematical models of approximate reasoning with interval-valued fuzzy set and give a numerical example to illustrate the proposed reasoning algorithm.
Baozhen Cui, Wenyi Zeng
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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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Ranking of interval-valued intuitionistic fuzzy sets

Applied Soft Computing, 2011
Abstract Out of several generalizations of fuzzy set theory for various objectives, the notions of intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets are interesting and very useful in modeling real life problems. The ranking of fuzzy numbers was studied by many authors and it was extended to intuitionistic fuzzy sets because of ...
V. Lakshmana Gomathi Nayagam, Geetha Sivaraman   +1 more
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Some comments on interval valued fuzzy sets

International Journal of Intelligent Systems, 1998
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 ...
Mai Gehrke, Carol L. Walker, Elbert A. Walker   +2 more
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