$\mathcal{SUP}$-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


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.


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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ISRP Style

P. Julatha, A. Iampan, $\mathcal{SUP}$-Hesitant fuzzy ideals of $\Gamma$-semigroups, Journal of Mathematics and Computer Science, 26 (2022), no. 2, 148--161

AMA Style

Julatha P., Iampan A., $\mathcal{SUP}$-Hesitant fuzzy ideals of $\Gamma$-semigroups. J Math Comput SCI-JM. (2022); 26(2):148--161

Chicago/Turabian Style

Julatha, P., Iampan, A.. "$\mathcal{SUP}$-Hesitant fuzzy ideals of $\Gamma$-semigroups." Journal of Mathematics and Computer Science, 26, no. 2 (2022): 148--161