Semicompactness in -topological spaces.
Shi, Fu-Gui (2005)
International Journal of Mathematics and Mathematical Sciences
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Shi, Fu-Gui (2005)
International Journal of Mathematics and Mathematical Sciences
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Józef Drewniak, Urszula Dudziak (2007)
Kybernetika
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Diverse classes of fuzzy relations such as reflexive, irreflexive, symmetric, asymmetric, antisymmetric, connected, and transitive fuzzy relations are studied. Moreover, intersections of basic relation classes such as tolerances, tournaments, equivalences, and orders are regarded and the problem of preservation of these properties by -ary operations is considered. Namely, with the use of fuzzy relations and -argument operation on the interval , a new fuzzy relation is created....
Li, Hong-Yan, Shi, Fu-Gui (2007)
International Journal of Mathematics and Mathematical Sciences
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Józef Drewniak, Barbara Pȩkala (2007)
Kybernetika
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Properties of - compositions of fuzzy relations were first examined in Goguen [8] and next discussed by many authors. Power sequence of fuzzy relations was mainly considered in the case of matrices of fuzzy relation on a finite set. We consider - powers of fuzzy relations under diverse assumptions about operation. At first, we remind fundamental properties of - composition. Then, we introduce some manipulations on relation powers. Next, the closure and interior of fuzzy relations...
Michał Baczyński, Balasubramaniam Jayaram (2007)
Kybernetika
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Recently, Yager in the article “On some new classes of implication operators and their role in approximate reasoning” [Yager2004] has introduced two new classes of fuzzy implications called the -generated and -generated implications. Along similar lines, one of us has proposed another class of fuzzy implications called the -generated implications. In this article we discuss in detail some properties of the above mentioned classes of fuzzy implications and we describe their relationships...