Show that any 2-cut relation (for > 0) of a fuzzy equivalence relation results in a crisp equivalence relation.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...
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CRISP EQUIVALENCE RELATION
erance relation.
4.7 Show that any 2-cut relation (for 1> 0) of a fuzzy equivalence relation results in a crisp
equivalence relation.
4.8
When Sulphur reacts with oxygen it gives either sulfur dioxide (SO,) or sulfur trioxI
Transcribed Image Text:erance relation. 4.7 Show that any 2-cut relation (for 1> 0) of a fuzzy equivalence relation results in a crisp equivalence relation. 4.8 When Sulphur reacts with oxygen it gives either sulfur dioxide (SO,) or sulfur trioxI
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