On fuzzy subsupermodule

Article type: Research Article

Authors: Hamidi, Mohammad^{; *} | Faraji, Fatemeh

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

Correspondence: [*] Corresponding author. Mohammad Hamidi. E-mail: m.hamidi@pnu.ac.ir.

Abstract: In this paper we introduce the concept of (weak) fuzzy subsupermodules based on (thin) supermodules different from fuzzy subhypermodules. In this study, the concept of α-cuts play a main role for constructing of extended (weak) fuzzy subsupermodules. In final, we introduce a notation of residual quotients of (weak) fuzzy subsupermodules and obtain some conditions to be a (weak) fuzzy subsupermodule. Also obtained some applied results in residual quotients of (weak) fuzzy subsupermodules of superrings as specially subsupermodules.

Keywords: Superrings, (thin) supermodule, (weak) fuzzy subsupermodules

DOI: 10.3233/JIFS-211655

Journal: Journal of Intelligent & Fuzzy Systems, vol. 42, no. 6, pp. 5165-5176, 2022