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Article type: Research Article
Authors: Norouzi, Mortezaa | Cristea, Irinab; *
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: irinacri@yahoo.co.uk.
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, (∝, qk)-fuzzy subsemihypermodule
DOI: 10.3233/JIFS-151867
Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 1711-1717, 2017
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