摘要

The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, using Atanassov idea, we continue the study on intuitionistic fuzzy sets in Gamma-semihypergroups initiated recently by Ersoy and Davvaz [25]. We give some further properties of intuitionistic fuzzy Gamma-hyperideals and intuitionistic fuzzy bi-Gamma-hyperideals in a Gamma-semihypergroup and use the intuitionistic fuzzy left, right, two-sided and bi-Gamma-hyperideals to characterize some classes of Gamma-semihypergroups. We introduce and study (lambda, mu)-intuitionistic fuzzy Gamma-hyperideals. We also introduce the notion of an intuitionistic fuzzy M(resp. N)-hypersystem of a Gamma-semihypergroup and some properties of them are investigated.

  • 出版日期2014