Naming and equivalence relations.
نویسندگان
چکیده
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...
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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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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...
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متن کاملEquivalence relations
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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ژورنال
عنوان ژورنال: Journal of the Experimental Analysis of Behavior
سال: 1996
ISSN: 0022-5002
DOI: 10.1901/jeab.1996.65-304