$\mathcal{SUP}$-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
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.
Share and Cite
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
Keywords
- \(\Gamma\)-semigroup
- \(\mathcal{SUP}\)-hesitant fuzzy ideal
- interval-valued fuzzy ideal
- (\mathcal{SUP}\)-hesitant fuzzy translation
MSC
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