Results 121 to 130 of about 17,216 (168)

A note on fuzzy relations and fuzzy groups

Information Sciences, 1991
The paper characterizes groups G such that for any fuzzy subgroup R of \(G\times G\) the formula \(A_ R(x)=\sup_{y\in G}\min (R(x,y),R(y,x))\) gives a fuzzy subgroup of G. This corrects a result of \textit{P. Bhattacharya} and \textit{N. P. Mukherjee} [Inf. Sci. 36, 267-282 (1985; Zbl 0599.20003), Theorem 4.7].
D. S. Malik, John N. Mordeson
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Fuzzy modifiers based on fuzzy relations

Information Sciences, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martine De Cock, Etienne E. Kerre
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Fuzzy groups, fuzzy functions and fuzzy equivalence relations

Fuzzy Sets and Systems, 2004
To each fuzzy subgroup a fuzzy equivalence relation is associated and it is proved that a fuzzy subgroup is normal if and only if the operation of the group is compatible with its associated fuzzy equivalence relation. In the definition of fuzzy subgroup only the subset is fuzzy whilst the group operation remains crisp.
Demirci, M, Recasens Ferrés, Jorge
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On Convexity of Fuzzy Sets and Fuzzy Relations

Information Sciences, 1992
A fuzzy set \(A\) on the vector space \(X\) (i.e. \(A\) is a mapping from \(X\) to the unit interval) is called convex if all \(\alpha\)-cuts of \(A\) are convex. The question that paper deals with is: For which operations applied to convex fuzzy sets or convex fuzzy relations is the resulting fuzzy set or relation again convex?
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Uniform fuzzy relations and fuzzy functions

Fuzzy Sets and Systems, 2009
In this paper, one of the approaches to the concept of a fuzzy function is presented. Diverse types of fuzzy functions are based on fuzzy equivalence relations. For example, such an approach was used in definitions of partial fuzzy functions and fuzzy functions presented by Klawonn, and of strong fuzzy functions and perfect fuzzy functions presented by
Miroslav Ciric 0001, Jelena Ignjatovic, Stojan Bogdanovic   +2 more
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Fuzzy relational compression

IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics), 1999
This study concentrates on fuzzy relational calculus regarded as a basis of data compression. In this setting, images are represented as fuzzy relations. We investigate fuzzy relational equations as a basis of image compression. It is shown that both compression and decompression (reconstruction) phases are closely linked with the way in which fuzzy ...
Kaoru Hirota, Witold Pedrycz
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On fuzzy difunctional relations

Information Sciences, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Habib Ounalli, Ali Jaoua
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Generalized Fuzzy Relations

New Mathematics and Natural Computation, 2018
Fuzzy relations are fundamental in applications of fuzzy set theory and fuzzy logic. The entire literature on fuzzy relations as applied to fuzzy graph theory are based on Rosenfeld’s relations. Rosenfeld used minimum and maximum as the norm and conorm in his study of compositions of fuzzy relations.
John N. Mordeson, Sunil Mathew, Davender S. Malik   +2 more
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Indicators of fuzzy relations

Fuzzy Sets and Systems, 2013
In this paper, first we give the definitions of various indicators of fuzzy relations and their basic properties. Then we investigate the relationships between these indicators, particularly between those of T-transitivity, negative S-transitivity, T-S-semitransitivity and T-S-Ferrers property.
Xuzhu Wang, Xue Cao, Caiping Wu, Juan Chen   +3 more
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Contrast of a fuzzy relation

Information Sciences, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Humberto Bustince Sola, Edurne Barrenechea Tartas, Javier Fernández 0002, Miguel Pagola, Javier Montero, Carlos Guerra 0003   +5 more
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