期刊论文

Sun, Kaibiao

Sun, KB (reprint author), Dalian Univ Technol, Sch Control Sci & Engn, Dalian 116024, Liaoning, Peoples R China.

Yuan, Xuehai,Li, Hongxing

2010-08-01

COMPUTERS & MATHEMATICS WITH APPLICATIONS

SCIE、EI、Scopus

J

60

3

610-622

0898-1221

Fuzzy hypergroup; Fuzzy reasoning; Fuzzy relation; Fuzzy set; Category; Topos

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. (C) 2010 Elsevier Ltd. All rights reserved.