Fuzzy regular relation on hyper hoop-algebras

Article type: Research Article

Authors: Varasteh, H.R.^a | Borzooei, R.A.^{b; *}

Affiliations: [a] Department of Mathematics, Payame Noor University, Tehran, Iran | [b] Department of Mathematics, Shahid Beheshti University, Tehran, Iran

Correspondence: [*] Corresponding author. R.A. Borzooei, Department ofMathematics, Shahid Beheshti University, Tehran, Iran. Tel.: +98 9124903982; Fax: +98 2122431652; E-mail: [email protected].

Abstract: In this paper, by considering the notion of hyper hoop, we introduce the concepts of fuzzy subalgebra and fuzzy filter on hyper hoops and we investigate some related properties. Then we define the notion of fuzzy regular relation on hyper hoops and construct a quotient hyper hoop with this relation and we get some isomorphism theorems on these quotient hyper hoops.

Keywords: Hyper hoop, fuzzy filter, fuzzy regular relation, fundamental relation β^*

DOI: 10.3233/IFS-152041

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 3, pp. 1275-1282, 2016