Generalized Hesitant Fuzzy Ideals in Semigroups

G. Muhiuddin, A. M. Alanazi, A. Mahboob, D. Al-Kadi and Hee S. Kim

Journal of Mathematics, 2020, vol. 2020, 1-12

Abstract: In this paper, as a generalization of the concepts of hesitant fuzzy bi-ideals and hesitant fuzzy right (resp. left) ideals of semigroups, the concepts of hesitant fuzzy m,n-ideals and hesitant fuzzy m,0-ideals (resp. 0,n-ideals) are introduced. Furthermore, conditions for a hesitant fuzzy m,n-ideal (m,0-ideal, 0,n-ideal) to be a hesitant fuzzy bi-ideal (right ideal, left ideal) are provided. Moreover, several correspondences between bi-ideals (right ideals, left ideals) and hesitant fuzzy m,n-ideals (m,0-ideals, 0,n-ideals) are obtained. Also, the characterizations of different classes of semigroups in terms of their hesitant fuzzy m,n-ideals and hesitant fuzzy m,0-ideals (0,n-ideals) are investigated.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8856287

DOI: 10.1155/2020/8856287

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