A study on intuitionistic fuzzy sets in Γ-semihypergroups

Authors:
Kostaq Hila;Saleem Abdullah
Affiliations:
Department of Mathematics & Computer Science, University of Gjirokastra, Gjirokastra, Albania;Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan and Department of Mathematics, Deanship of Preparatory Year, Umm Al Qurra University Makkah, Saudi Arabia
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

Citing 6
Cited 0

New operations defined over the intuitionistic fuzzy sets

Fuzzy Sets and Systems
Extensions of fuzzy hyperideals in HV-semigroups

Soft Computing - A Fusion of Foundations, Methodologies and Applications
Intuitionistic fuzzy sets

Fuzzy Sets and Systems
A study on fuzzy interior ideals of Γ-semigroups

Computers & Mathematics with Applications
Intuitionistic Fuzzy Sets: Theory and Applications

Intuitionistic Fuzzy Sets: Theory and Applications
Atanassov's intuitionistic fuzzy Γ --hyperideals of Γ --semihypergroups

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

Quantified Score

Hi-index	0.00

Visualization

Abstract

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 Γ-semihypergroups initiated recently by Ersoy and Davvaz [25]. We give some further properties of intuitionistic fuzzy Γ-hyperideals and intuitionistic fuzzy bi-Γ-hyperideals in a Γ-semihypergroup and use the intuitionistic fuzzy left, right, two-sided and bi-Γ-hyperideals to characterize some classes of Γ-semihypergroups. We introduce and study λ, μ-intuitionistic fuzzy Γ-hyperideals. We also introduce the notion of an intuitionistic fuzzy M resp. N-hypersystem of a Γ-semihypergroup and some properties of them are investigated.