Fuzzy sets in categories of sets with similarity relations

被引：6

作者：

Mockor, Jiri ^{[1
]}

机构：

[1] Univ Ostrava, Inst Res & Applicat Fuzzy Modeling, CS-70103 Ostrava 1, Czech Republic

来源：

COMPUTATIONAL INTELLIGENCE, THEORY AND APPLICATION | 2006年

关键词：

fuzzy sets; sets with similarity relation; categories of sets with similarity relations;

D O I：

10.1007/3-540-34783-6_65

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Several examples of categories K of sets with similarity relations are investigated. Objects of K are pairs (A, 6), where A is a set and 6 is a similarity relation on A with values in an MV-algebra ohm. A fuzzy set t in (A,delta) in a category K (in symbol t (subset of)(similar to)(K) (A, delta)) is then defined as a morphism t : (A, delta) ->(Omega, <->) in a category K.

引用

页码：677 / 682

页数：6

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