منابع مشابه
FUZZY SUBGROUPS AND CERTAIN EQUIVALENCE RELATIONS
In this paper, we study an equivalence relation on the set of fuzzysubgroups of an arbitrary group G and give four equivalent conditions each ofwhich characterizes this relation. We demonstrate that with this equivalencerelation each equivalence class constitutes a lattice under the ordering of fuzzy setinclusion. Moreover, we study the behavior of these equivalence classes under theaction of a...
متن کاملRelations and Equivalence Relations
In this section, we shall introduce a formal definition for the notion of a relation on a set. This is something we often take for granted in elementary algebra courses, but is a fundamental concept in mathematics i.e. the very notion of a function relies upon the definition of a relation. Following this, we shall discuss special types of relations on sets. 1. Binary Relations and Basic Definit...
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A motivating example for equivalence relations is the problem of constructing the rational numbers. A rational number is the same thing as a fraction a/b, a, b ∈ Z and b 6= 0, and hence specified by the pair (a, b) ∈ Z× (Z−{0}). But different ordered pairs (a, b) can define the same rational number a/b. In fact, a/b and c/d define the same rational number if and only if ad = bc. One way to solv...
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This paper, deals with some equivalence relations in fuzzy subgroups. Further the probability of commuting two fuzzy subgroups of some finite abelian groups is defined.
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In this paper we investigate various properties of equivalence classes of fuzzy equivalence relations over a complete residuated lattice. We give certain characterizations of fuzzy semipartitions and fuzzy partitions over a complete residuated lattice, as well as over a linearly ordered complete Heyting algebra. In the latter case, for a fuzzy equivalence relation over a linearly ordered comple...
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ژورنال
عنوان ژورنال: Journal of Korean Institute of Intelligent Systems
سال: 2008
ISSN: 1976-9172
DOI: 10.5391/jkiis.2008.18.3.401