International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 5, Pages 261-267
doi:10.1155/S0161171201010778
Intuitionistic fuzzy interior ideals of semigroups
Kyung Ho Kim1
and Young Bae Jun2
1Department of Mathematics, Chungju National University, Chungju 380-702, South Korea
2Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, South Korea
Abstract
We consider the intuitionistic fuzzification of the concept of interior ideals in a semigroup S, and investigate some properties of such ideals. For any homomorphism f from a semigroup S to a semigroup T, if B=(μB,γB) is an intuitionistic fuzzy interior ideal of T, then the preimage f−1(B)=(f−1(μB),f−1(γB)) of B under f is an intuitionistic fuzzy interior ideal of S.