A Hesitant Fuzzy Set Approach to Ideal Theory in Γ-Semigroups

Mohammad Y. Abbasi; Aakif F. Talee; Sabahat A. Khan; Kostaq Hila

doi:10.1155/2018/5738024

Advances in Fuzzy Systems (Jan 2018)

A Hesitant Fuzzy Set Approach to Ideal Theory in Γ-Semigroups

Mohammad Y. Abbasi,
Aakif F. Talee,
Sabahat A. Khan,
Kostaq Hila

Affiliations

Mohammad Y. Abbasi: Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India
Aakif F. Talee: Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India
Sabahat A. Khan: Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India
Kostaq Hila: Department of Mathematics & Computer Science, University of Gjirokastra, Gjirokastra 6001, Albania

DOI: https://doi.org/10.1155/2018/5738024
Journal volume & issue: Vol. 2018

Abstract

Read online

We apply the hesitant fuzzy sets theory to Γ-semigroups and provide some characterizations of hesitant fuzzy left (right and bi-) ideals. We introduce the hesitant fuzzy left (resp., right and two-sided) ideal, hesitant fuzzy bi-ideal, and hesitant fuzzy interior ideal in Γ-semigroup and study some properties of them. Finally, a characterization of a simple Γ-semigroup by means of a hesitant fuzzy simple Γ-semigroup is obtained.

Published in Advances in Fuzzy Systems

ISSN: 1687-7101 (Print); 1687-711X (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Technology: Electrical engineering. Electronics. Nuclear engineering; Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
Website: https://www.hindawi.com/journals/afs/

About the journal