Fuzzy \(H_v\)-submodules
type: Item
instance of: scholarly article
title: Fuzzy \(H_v\)-submodules
zbMATH Open document ID: 0974.16041
DOI: 10.1016/S0165-0114(98)00366-2
published in: Fuzzy Sets and Systems
publication date: 2001-12-05T00:00:00Z
review text: The paper connects the theory of fuzzy sets with the theory of \(H_v\)-modules. The problem is treated by the author in a way similar as he did it for fuzzy \(H_v\)-groups. However, the problems raised here are more difficult. Some results and examples on the fuzzy \(H_v\)-modules introduced are presented. Finally, a fundamental theorem concerning the quotient of an \(H_v\)-module over the fundamental relation \(\varepsilon^*\) is proved.
reviewed by: Thomas Vougiouklis
Mathematics Subject Classification ID: 16Y99
Mathematics Subject Classification ID: 20N20
Mathematics Subject Classification ID: 20N25
zbMATH DE Number: 1563554
zbMATH Keywords: fuzzy sets
zbMATH Keywords: \(H_v\)-modules
zbMATH Keywords: fuzzy \(H_v\)-groups
zbMATH Keywords: fuzzy \(H_v\)-modules
zbMATH Keywords: fundamental relation
zbMATH Keywords: quotients
author: Bijan Davvaz
MaRDI profile type: Publication
cites work: Fuzzy subgroups and antifuzzy subgroups
cites work: Fuzzy \(H_v\)-groups
cites work: Fuzzy vector spaces and fuzzy cosets
cites work: Q4091811
cites work: Fuzzy groups
cites work: Q4294770
cites work: Q4317188
cites work: Fuzzy sets
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description: scientific article; zbMATH DE number 1563554