Doubt intuitionistic fuzzy hyper filters in hyper BE-algebras

Article type: Research Article

Authors: Bej, Tripti^{a; *} | Pal, Madhumangal^a | Davvaz, Bijan^b

Affiliations: [a] Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, India | [b] Department of Mathematics, Yazd University, Yazd, Iran

Correspondence: [*] Corresponding author. Tripti Bej, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore – 721 102, India. E-mail: [email protected].

Abstract: The purpose of this study is to apply the intuitionistic fuzzy hyper filters to hyper BE-algebras and to derive the conditions for an intuitionistic fuzzy set to be a doubt intuitionistic fuzzy hyper filter in hyper BE-algebras. The findings of the study establish the notion that an intuitionistic fuzzy set of a hyper BE-algebra is an intuitionistic fuzzy hyper filter if and only if the complement of this intuitionistic fuzzy set is a doubt intuitionistic fuzzy hyper filter. The content of this manuscript also includes the introduction of the notion of doubt intuitionistic fuzzy implicative hyper filter in hyper BE-algebras and some related properties.

Keywords: Hyper BE-algebra, doubt intuitionistic fuzzy hyper filter, doubt intuitionistic fuzzy implicative hyper filter

DOI: 10.3233/JIFS-18824

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 4, pp. 5157-5166, 2019