On fuzzy preordered structures and (fuzzy) hyperstructures.
type: Item
instance of: scholarly article
title: On fuzzy preordered structures and (fuzzy) hyperstructures.
zbMATH Open document ID: 1276.20074
author: Irina Cristea
author: M. Jafarpour
author: S. Sh. Mousavi
publication date: 2013-03-15T00:00:00Z
review text: The connections between fuzzy sets and algebraic hyperstructures have been already considered by Corsini, Davvaz, Leoreanu-Fotea, Zahedi and many others. In this paper, using the new concept of fuzzy preordered semigroup, the authors construct an associated semihypergroup. Based on this construction, they show that every complete semihypergroup derives from a fuzzy preordered semigroup. Moreover, they present a construction of a fuzzy hyperring from a fuzzy preordered ring.
reviewed by: Bijan Davvaz
Mathematics Subject Classification ID: 20N20
Mathematics Subject Classification ID: 20N25
Mathematics Subject Classification ID: 06F05
Mathematics Subject Classification ID: 16Y99
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 6145414
zbMATH Keywords: fuzzy preordered semigroups
zbMATH Keywords: complete semihypergroups
zbMATH Keywords: fuzzy hypergroups
zbMATH Keywords: fuzzy hyperrings
zbMATH Keywords: mutual associativity
zbMATH Keywords: fuzzy preordered rings
MaRDI profile type: Publication
full work available at URL: s10114-012-0314-x
OpenAlex ID: W2010023763
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DOI: 10.1007/S10114-012-0314-X
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 6145414