Intuitionistic fuzzy sets in gamma-semigroups
The notion of a fuzzy set in a set was introduced by L. A. Zadeh , and since then this concept has been applied to various algebraic structures. K. T. Atanassov  defined the notion of an intuitionistic fuzzy set, as a concept more general than a fuzzy set (see also ). Using fuzzy ideals, N. Kuroki  discussed characterizations of semigroups (see also ). K. H. Kim and Y. B. Jun  considered the intuitionistic fuzzification of the notion of several ideals in a semigroup, and investigated some properties of such ideals (see also ). M. K. Sen and N. K. Saha  defined the concept of a Gamma-semigroup, and established a relation between regular Gamma-semigroup and Gamma-group (see also , (8]). In this paper, we introduce the notion of an intuitionistic fuzzy Gamma-ideal of a Gamma-semigroup, and we investigate some properties connected with intuitionistic fuzzy Gamma-ideals in a Gamma-semigroup.
KaynakBULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
Başlık, yazar, küratör ve konuya göre gösterilen ilgili öğeler.
The aim of this paper is to define a new kind of fuzzy gamma ring. So the concepts of fuzzy gamma ring, fuzzy ideal, fuzzy quotient gamma ring, and fuzzy gamma homomorphism are introduced.
Using fuzzy ideals, characterizations of Noetherian $Gamma$ -rings are given, and a condition for a $Gamma$ -ring to be Artinian is also given.