$\mathcal{SUP}$-Hesitant fuzzy ideals of $\Gamma$-semigroups

Volume 26, Issue 2, pp 148--161 http://dx.doi.org/10.22436/jmcs.026.02.05

Publication Date: November 05, 2021 Submission Date: June 05, 2021 Revision Date: June 21, 2021 Accteptance Date: September 17, 2021

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Authors

P. Julatha - Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok 65000, Thailand. A. Iampan - Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand.

Abstract

As a generalization of the concepts of interval-valued fuzzy ideals and hesitant fuzzy ideals of \(\Gamma\)-semigroups, the concept of \(\mathcal{SUP}\)-hesitant fuzzy ideals is introduced. Characterizations of \(\mathcal{SUP}\)-hesitant fuzzy ideals are discussed in terms of sets, fuzzy sets, intuitionistic fuzzy sets, interval-valued fuzzy sets, and hesitant fuzzy sets. Further, \(\mathcal{SUP}\)-hesitant fuzzy translations of \(\mathcal{SUP}\)-hesitant fuzzy ideals of \(\Gamma\)-semigroups are introduced and their related properties are investigated.

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Keywords

• \(\Gamma\)-semigroup
• \(\mathcal{SUP}\)-hesitant fuzzy ideal
• interval-valued fuzzy ideal
• (\mathcal{SUP}\)-hesitant fuzzy translation

MSC

•  20M75
•  08A72
•  03E72
•  16Y80

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