Fuzzy topologies induced by fuzzy relation based modifiers

被引：0
|
作者：
De Cock, Martine [1 ]
Kerre, E. E. [1 ]
机构：
[1] Univ Ghent, Dept Appl Math & Comp Sci, Fuzziness & Uncertainty Modelling Res Unit, B-9000 Ghent, Belgium
来源：
COMPUTATIONAL INTELLIGENCE: THEORY AND APPLICATIONS, PROCEEDINGS | 2001年 / 2206卷
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D O I：
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中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper we highlight the specific meaning of images of fuzzy sets under fuzzy relations in the context of fuzzy topology. More precisely we show that fuzzy modifiers taking direct and superdirect images of fuzzy sets under fuzzy pre-orderings are respectively closure and interior operators, inducing fuzzy topologies. Furthermore we investigate under which conditions the same applies to the recently introduced general closure and opening operators based on arbitrary fuzzy relations.
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页码：239 / 248
页数：10
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