Previous Issues
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.