2017
DOI: 10.1515/auom-2017-0012
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Isomorphism theorems of fuzzy hypermodules

Abstract: In this paper we define and study a new class of subfuzzy hypermodules of a fuzzy hypermodule that we call normal subfuzzy hypermodules. The connection between hypermodules and fuzzy hypermodules can be used as a tool for proving results in fuzzy hypermodules. In this manner we analyse three isomorphism theorems for fuzzy hypermodules.

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“…H v -group), which is a generalization of the notion of Rosenfeld's fuzzy subgroup of a group [10] and also defined fuzzy H v -submodules. Different hypermodules, fuzzy hypermodules, and rough hypermodules have been studied [13][14][15][16][17][18][19].…”
Section: Introductionmentioning
confidence: 99%
“…H v -group), which is a generalization of the notion of Rosenfeld's fuzzy subgroup of a group [10] and also defined fuzzy H v -submodules. Different hypermodules, fuzzy hypermodules, and rough hypermodules have been studied [13][14][15][16][17][18][19].…”
Section: Introductionmentioning
confidence: 99%