Hyperstructures and fuzzy sets endowed with two membership functions
type: Item
instance of: scholarly article
title: Hyperstructures and fuzzy sets endowed with two membership functions
zbMATH Open document ID: 1184.03052
author: Irina Cristea
published in: Fuzzy Sets and Systems
publication date: 2009-11-17T00:00:00Z
review text: Finite hyperstructures associated with fuzzy sets endowed with two membership functions are studied. In general, these hyperstructures are commutative hypergroups, but not join spaces. The paper introduces conditions so that the considered hypergroups have also this property, and examples of their fuzzy subhypergroups are given. Two sequences of join spaces and fuzzy sets associated with a finite hypergrupoid are studied using fuzzy sets endowed with two membership functions.
reviewed by: Vladimír Janiš
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 20N20
zbMATH DE Number: 5634427
zbMATH Keywords: join space
zbMATH Keywords: fuzzy grade
zbMATH Keywords: fuzzy subhypergroup
MaRDI profile type: Publication
full work available at URL: j.fss.2008.06.008
OpenAlex ID: W2089603841
cites work: Q3137919
cites work: Q4870876
cites work: Q5414283
cites work: A new connection between hypergroups and fuzzy sets.
cites work: Q3113224
cites work: Q4672949
cites work: Q3410143
cites work: Q3432566
cites work: Q4343055
cites work: Q4706962
cites work: Q5193064
cites work: Fuzzy \(H_v\)-groups
cites work: An example of \(L\)-fuzzy join space
cites work: Q5680698
cites work: On the fuzzy grade of hypergroups.
DOI: 10.1016/J.FSS.2008.06.008
description: scientific article; zbMATH DE number 5634427