Title of article :
A NOTE ON (element of, element of vq)-FUZZY EQUIVALENCE RELATIONS AND INDISTINGUISHABILITY OPERATORS
Author/Authors :
Ali, Muhammad Irfan COM-SATS Institute of Information Technology - Department of Mathematics, Pakistan , Feng, Feng Xi’an University of Posts and Telecommunications - School of Science - Department of Applied Mathematics, China , Shabir, Muhammad Quaid-i-Azam University - Department of Mathematics, Pakistan
Abstract :
In this paper (element of, element of vq)-fuzzy equivalence relations are defined and some of their properties are studied. The partition of an (element of, element of vq)-fuzzy equivalence relation is studied. It is shown that under a semibalanced mapping the preimage of an (element of, element of vq)-fuzzy equivalence relation is an (element of, element of vq)-fuzzy equivalence relation, whereas the image of an (element of, element of vq)-fuzzy equivalence relation under a balanced mapping is an (element of, element of vq)-fuzzy equivalence relation. To conclude, (element of, element of vq)-fuzzy indistinguishability relations are defined and some of their properties are studied.
Keywords :
Fuzzy set , Fuzzy equivalence relation , Fuzzy G , equivalence relation , Fuzzy partition , Fuzzy indistinguishability operator.
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
