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
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
Copyright © 2001 Kyung Ho Kim and Young Bae Jun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.