FUZZY TOPOLOGY - FUZZY CLOSURE OPERATOR, FUZZY COMPACTNESS AND FUZZY CONNECTEDNESS

被引：76

作者：

CHATTOPADHYAY, KC

SAMANTA, SK

机构：

[1] VISVA BHARATI UNIV,DEPT MATH,SANTINIKETAN 731235,W BENGAL,INDIA

[2] UNIV BURDWAN GOLAPBAG,DEPT MATH,BURDWAN 713104,W BENGAL,INDIA

来源：

FUZZY SETS AND SYSTEMS | 1993年 / 54卷 / 02期

关键词：

FUZZY TOPOLOGY; GRADATION OF OPENNESS; GRADATION OF CLOSEDNESS; FUZZY CLOSURE OPERATOR; FUZZY COMPACTNESS; FUZZY CONNECTEDNESS;

D O I：

10.1016/0165-0114(93)90277-O

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper definitions of fuzzy closure operator, fuzzy compactness and fuzzy connectedness are given in a redefined fuzzy topological space and then some characteristic properties of fuzzy closure operator, product theorems of fuzzy compactness, invariance of fuzzy compactness and fuzzy connectedness under gradation preserving maps and invariance of fuzzy connectedness under the fuzzy closure operator are studied.

引用

页码：207 / 212

页数：6

共 7 条

[1] CONNECTEDNESS IN FUZZY TOPOLOGICAL-SPACES
AJMAL, N
KOHLI, JK
[J]. FUZZY SETS AND SYSTEMS, 1989, 31 (03) : 369 - 388
[2] FUZZY TOPOLOGICAL SPACES
CHANG, CL
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 24 (01) : 182 - &
[3] GRADATION OF OPENNESS - FUZZY TOPOLOGY
CHATTOPADHYAY, KC
HAZRA, RN
SAMANTA, SK
[J]. FUZZY SETS AND SYSTEMS, 1992, 49 (02) : 237 - 242
[4] COMPACTNESS IN FUZZY TOPOLOGICAL-SPACES
GANTNER, TE
STEINLAGE, RC
WARREN, RH
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 62 (03) : 547 - 562
[5] COMPARISON OF DIFFERENT COMPACTNESS NOTIONS IN FUZZY TOPOLOGICAL-SPACES
LOWEN, R
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 64 (02) : 446 - 454
[6] LOWEN R, 1976, J MATH ANAL APPL, V50, P651
[7] PU PM, 1980, J MATH ANAL APPL, V76, P571

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