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Collective relations of fuzzy relational structures
Journal of Intelligent & Fuzzy Systems, 2018This paper focuses on fuzzy relational structures. In order to collect the knowledge that has been acquired with regard to fuzzy relational structures, the concept of collective relations is proposed and characterizations of collective relations are investigated. A method on computing the largest collective relation is further given. Moreover, based on
Yibin Du, Ping Zhu 0001
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GENERALIZED COMPOSITIONS OF FUZZY RELATIONS
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2002We examine compositions of fuzzy relations based on a binary operation *. We discuss the dependences between algebraic properties of the operation * and the induced sup –* composition. It is examined independently for monotone operations, for operations with idempotent, zero or identity element, for distributive and associative operations. Finally, we
Józef Drewniak, Krzysztof Kula
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Fuzzy Closeness Relation as a Basis for Weakening Fuzzy Relational Queries
2004Query weakening is the modification of the conditions involved in a query in order to obtain a less restrictive variant and then a non empty set of answers. The aim of the paper is to propose an approach for dealing with this problem in the case of fuzzy queries against relational databases.
Patrick Bosc +2 more
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Fuzzy relations and fuzzy functions
Fuzzy Sets and Systems, 1986The author introduces, on a complete Brouwerian lattice L, interesting definitions of L-valued fuzzy equivalence relation, L-valued fuzzy function, L-fuzzy partition, and he goes deeply into their links. Noteworthy consequence of this new definition is that L-fuzzy-functions, so defined, assume values in a Boolean subalgebra of the lattice L. Later the
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Fuzzy Relations and Fuzzy Graphs
1985Fuzzy relations are fuzzy subsets of X × Y, that is, mappings from X → Y. They have been studied by a number of authors, in particular by Zadeh [1965, 1971], Kaufmann [1975], and Rosenfeld [1975]. Applications of fuzzy relations are widespread and important. We shall consider some of them and point to more possible uses at the end of this chapter.
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Bipolar fuzzy relation equations based on the product T-norm
IEEE International Conference on Fuzzy Systems, 2017M. E. Cornejo, David Lobo, Jesiis Medina
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Fuzzy relation equations and inequalities with two unknowns and their applications
Fuzzy Sets Syst., 2017Ivan Stanković +2 more
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