A new type of fuzzy subsemihypermodules

Article type: Research Article

Authors: Norouzi, Morteza^a | Cristea, Irina^{b; *}

Affiliations: [a] Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran | [b] Center for Systems and Information Technologies, University of Nova Gorica, Nova Gorica, Slovenia

Correspondence: [*] Corresponding author. Irina Cristea, Center for Systems and Information Technologies, University of Nova Gorica, Nova Gorica, Slovenia. Tel: +386 0533 15 232; Fax: +386 05 6205200; E-mail: [email protected].

Abstract: In this paper, combining the notions of “belongingness” and “quasi coincidence” of fuzzy points and fuzzy subsets, a new type of fuzzy subsemihypermodules, namely (∝, ⋐k)-fuzzy subsemihypermodules of general hypermodules, is introduced and characterized, using the “max” operator. Their properties and connections with other (α, β)-fuzzy subsemihypermodules are investigated.

Keywords: General hypermodule, (∝, ⋐_k)-fuzzy subsemihypermodule, (∝, ∝)-fuzzy subsemihypermodule, (∝, q_k)-fuzzy subsemihypermodule

DOI: 10.3233/JIFS-151867

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 1711-1717, 2017