Topology in fuzzy class theory: Basic notions

被引：0

作者：

Behounek, Libor ^{[1
]}

Kroupa, Tomas ^{[2
]}

机构：

[1] Acad Sci Czech Republic, Inst Comp Sci, Vodarenskou Vezi 2, Prague 18207, Czech Republic

[2] Acad Sci Czech Republic, Inst Informat Theory & Automat, Prague, Czech Republic

来源：

FOUNDATIONS OF FUZZY LOGIC AND SOFT COMPUTING, PROCEEDINGS | 2007年 / 4529卷

关键词：

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In the formal and fully graded setting of Fuzzy Class Theory (or higher-order fuzzy logic) we make an initial investigation into basic notions of fuzzy topology. In particular we study graded notions of fuzzy topology regarded as a fuzzy system of open or closed fuzzy sets and as a fuzzy system of fuzzy neighborhoods. We show their basic graded properties and mutual relationships provable in Fuzzy Class Theory and give some links to the traditional notions of fuzzy topology.

引用

页码：513 / +

页数：2

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