Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
473802 | Computers & Mathematics with Applications | 2010 | 13 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Kaibiao Sun, Xuehai Yuan, Hongxing Li,