Fuzzy hypergroups based on fuzzy relations

被引：9
|
作者：
Sun, Kaibiao [1 ]
Yuan, Xuehai [1 ]
Li, Hongxing [1 ]
机构：
[1] Dalian Univ Technol, Sch Control Sci & Engn, Dalian 116024, Liaoning, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 03期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
Fuzzy hypergroup; Fuzzy reasoning; Fuzzy relation; Fuzzy set; Category; Topos; SETS;
D O I：
10.1016/j.camwa.2010.05.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：610 / 622
页数：13
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