Interval-valued hesitant fuzzy filters in BE-algebras

Article type: Research Article

Authors: Rezaei, Akbar^{; *}

Affiliations: Department of Mathematics, Payame Noor University, Tehran, Iran

Correspondence: [*] Corresponding author. Akbar Rezaei, Department of Mathematics, Payame Noor University, P.O. BOX. 19395-3697, Tehran, Iran. Tel.: +989131405381; Fax: +983433242655; E-mail: rezaei@pnu.ac.ir.

Abstract: In this paper, we develop fuzzy filter theory on a BE-algebra and apply the concept of interval-valued hesitant fuzzy filter to BE-algebras. Moreover, some types of interval-valued hesitant fuzzy filters such as interval-valued hesitant fuzzy implicative filter and interval-valued hesitant fuzzy fantastic filter are introduced and some of properties are investigated.

Keywords: (distributive) BE-algebra, hesitant fuzzy (implicative, fantastic) filter, interval-valued hesitant fuzzy (implicative, fantastic) filter

DOI: 10.3233/JIFS-161733

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 1, pp. 403-411, 2017