Hesitant fuzzy dot subalgebra and dot ideals of B-algebra

Article type: Research Article

Authors: Jiang, Man^{; *}

Affiliations: Department of Mathematics, Xi’an Traffic Engineering Institute, Xi’an, P.R. China

Correspondence: [*] Corresponding author. Man Jiang, Department of Mathematics, Xi’an Traffic Engineering Institute, Xi’an, P.R. China. E-mail: [email protected].

Abstract: In this paper, the notions of hesitant fuzzy dot subalgebras, hesitant fuzzy normal dot subalgebras, and hesitant fuzzy dot ideals of B-algebras are presented, and some of their features are examined, in this study. The homomorphic image and inverse image of hesitant fuzzy dot subalgebras, as well as the hesitant fuzzy dot ideal, are investigated. We also explore some related characteristics of hesitant fuzzy relations on the family of hesitant fuzzy dot subalgebras and hesitant fuzzy dot ideal of B-algebras.

Keywords: B-algebra, hesitant fuzzy dot subalgebra, hesitant fuzzy normal dot subalgebra, hesitant fuzzy dot ideal, hesitant fuzzy ρ- product relation

DOI: 10.3233/JIFS-220158

Journal: Journal of Intelligent & Fuzzy Systems, vol. 43, no. 5, pp. 6203-6212, 2022