Title of article :
Fuzzy equivalence relations
Author/Authors :
BEG, ISMAT Lahore University of Management Sciences - Centre for Advanced Studies in Mathematics, Pakistan , ASHRAF, SAMINA Lahore University of Management Sciences - Centre for Advanced Studies in Mathematics, Pakistan
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
Keywords :
Fuzzy relations , fuzzy set of transitivity , measure of fuzzy transitivity
Journal title :
Kuwait Journal of Science
Journal title :
Kuwait Journal of Science