On the fuzzy grade of hypergroups.
type: Item
instance of: scholarly article
title: On the fuzzy grade of hypergroups.
zbMATH Open document ID: 1185.20062
author: N. E. Zubov
published in: Fuzzy Sets and Systems
publication date: 2009-08-28T00:00:00Z
review text: The paper deals with the connection of fuzzy sets and of join spaces with a hypergroupoid. For the last connection, introduced by Corsini in 2003, the second author obtained some results in 2007. In this paper the authors continue to obtain results in this direction. The main result is: Consider a sequence of fuzzy sets and join spaces associated with a hypergroupoid then a sufficient condition in order to have non-isomorphic consecutive associated join spaces is proved. A second result is that they present a necessary and sufficient condition for a join space in the sequence to be a reduced hypergroup.
reviewed by: Thomas Vougiouklis
Mathematics Subject Classification ID: 20N20
Mathematics Subject Classification ID: 20N25
zbMATH DE Number: 5599387
zbMATH Keywords: hypergroups
zbMATH Keywords: fuzzy sets
zbMATH Keywords: join spaces
MaRDI profile type: Publication
full work available at URL: j.fss.2007.10.014
OpenAlex ID: W1976607186
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DOI: 10.1016/J.FSS.2007.10.014
description: scientific article; zbMATH DE number 5599387