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
Received 18 August 2000; Revised 11 December 2000

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.