✦ LIBER ✦

Fuzzy hypergroups based on fuzzy relations

✍ Scribed by Kaibiao Sun; Xuehai Yuan; Hongxing Li

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 419 KB
Volume: 60
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2010.05.007

No coin nor oath required. For personal study only.

✦ Synopsis

Based on fuzzy reasoning in fuzzy logic, this paper studies a fuzzy hyperoperation and a fuzzy hypergroupoid associated with a fuzzy relation. A sufficient and necessary condition for such a fuzzy hypergroupoid being a fuzzy hypergroup is given, and the properties of the fuzzy hypergroups associated with fuzzy relations are investigated. Furthermore, the definition of normal fuzzy hypergroups is put forward and it is shown that the category NFHG of normal fuzzy hypergroups satisfies all the axioms of topos except for the subobject classifier axiom.

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