Title of article :
Interval-Valued Fuzzy Congruences on Inverse Semigroups
Author/Authors :
Khan, F. M. Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematical Sciences, Malaysia , Sarmin, N. H. Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematical Sciences, Malaysia , Shabir, M. Quaid-i-Azam University - Department of Mathematics, Pakistan , Khan, A. COMSATS Institute of Information Technology - Department of Mathematics, Pakistan
Abstract :
We introduce a quotient semigroup S/δ by an interval-valued fuzzy congruence relation δ on a semigroup S, and present Homomorphism Theorems with respect to an interval-valued fuzzy congruence relation. In this paper, we introduce an idempotent-separating interval-valued fuzzy congruence, a group interval-valued fuzzy congruence on inverse semigroup, and some of their properties on inverse semigroups.
Keywords :
Interval , valued fuzzy congruence , Inverse semigroup , Idempotent , separating Interval , valued fuzzy congruence , Group Interval , valued fuzzy congruence
Journal title :
Matematika
Journal title :
Matematika
