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Volume :35 Issue : 1 2008      Add To Cart                                                                    Download

Fuzzy equivalence relations

Auther : ISMAT BEG AND SAMINA ASHRAF

Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences,

54792- Lahore, Pakistan. E-mail: ibeg@lums.edu.pk.

 

 

ABSTRACT

 

Fuzzy transitivity of a fuzzy relation on a given universe is defined as a fuzzy relation on the same universe. A global evaluation of transitivity is then made by composition of sugenos fuzzy measure to the mapping of fuzzy transitivity. Several properties of the new concepts are obtained. It is proved that the class of -indistinguishability relations is a subclass of the class of strong fuzzy equivalence relations.

 

Key Words: Fuzzy relations; fuzzy set of transitivity; measure of fuzzy transitivity;

T-transitive fuzzy relations.

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