FUZZY EQUIVALENCE AND THE RESULTING TOPOLOGY

被引：3

作者：

PATRONIS, T ^{[1
]}

STAVRINOS, P ^{[1
]}

机构：

[1] UNIV ATHENS,DEPT MATH,ATHENS,GREECE

来源：

FUZZY SETS AND SYSTEMS | 1992年 / 46卷 / 02期

关键词：

INDIFFERENCE RELATION; FUZZY EQUIVALENCE; TOPOLOGY; METRIC SPACE; DISTANCE; TRIANGLE INEQUALITY; TRANSITIVITY; FUZZY TRANSITIVITY; NON-TRANSITIVITY; INDISTINGUISHABILITY;

D O I：

10.1016/0165-0114(92)90136-R

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we show how a topology can be generated by a fuzzy binary relation of indifference, i.e. a fuzzy equivalence relation, on a set of objects. This construction generalizes the classical construction of the topology of metric spaces, thus showing that the idea of fuzziness is already present in classical mathematical objects. An application related to Poincare's conception of continuum is also given.

引用

页码：237 / 243

页数：7

共 13 条

[1]

Chevallard Y., 1982, RECHERCHES DIDACTIQU, V3, P159

[2] BOOLEAN FUZZY-SETS [J].