FUZZY TOPOLOGY ON FUZZY-SETS AND TOLERANCE TOPOLOGY

被引：33

作者：

CHAKRABORTY, MK ^{[1
]}

AHSANULLAH, TMG ^{[1
]}

机构：

[1] UNIV DHAKA,DEPT MATH,DHAKA,BANGLADESH

来源：

FUZZY SETS AND SYSTEMS | 1992年 / 45卷 / 01期

关键词：

FUZZY TOPOLOGY; SUBSPACE TOPOLOGY; FUZZY RELATION; TOLERANCE SPACE; TOLERANCE TOPOLOGY;

D O I：

10.1016/0165-0114(92)90096-M

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper fuzzy topology has been defined on a fuzzy set. The notion of quasi-coincidence is extended in order to fit this new situation and to generalize the concept of q-neighbourhood introduced originally by Ming and Ming (1980). The generalized q-neighbourhood system has been utilized to introduce tolerance topology on a fuzzy set with a fuzzy tolerance relation.

引用

页码：103 / 108

页数：6

共 7 条

[1]

CHAKRABARTY MK, 1985, APPROXIMATE REASONIN, P156

[2] STUDIES IN FUZZY RELATIONS OVER FUZZY SUBSETS [J].

CHAKRABORTY, MK ;

DAS, M .

FUZZY SETS AND SYSTEMS, 1983, 9 (01) :79-89

[3]

CHAKRABORTY MK, 1984, P SEMINAR FUZZY SYST

[4]

CHAKRABORTY MK, 1986, P IFSA EURO SEMINAR

[5] FUZZY TOPOLOGICAL SPACES [J].

CHANG, CL .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 24 (01) :182-&

[6]

PU PM, 1980, J MATH ANAL APPL, V76, P571

[7]

SHRIEDER YA, 1970, KIBERNETIKA, V6, P124

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