SEPARATION AXIOMS IN FUZZY TOPOLOGICAL-SPACES

被引：13

作者：

SINHA, SP

机构：

[1] Department of Pure Mathematics, University of Calcutta, Calcutta, 700019, 35 Ballygunge, Circular Road

来源：

FUZZY SETS AND SYSTEMS | 1992年 / 45卷 / 02期

关键词：

FUZZY THETA-CLUSTER POINT; FUZZY THETA-CLOSURE; QUASI-COINCIDENCE; FUZZY T2; FUZZY REGULAR AND ALMOST REGULAR SPACES; FUZZY URYSOHN SPACES;

D O I：

10.1016/0165-0114(92)90127-P

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, certain fuzzy separation axioms are studied in terms of the notions of quasi-coincidence, q-neighbourhoods and fuzzy theta-closure operators. Fuzzy T2 and Urysohn spaces are defined, and fuzzy spaces satisfying these axioms are characterized. A (fuzzy) pointwise formulation of a fuzzy T2-axiom of Hutton and Reilly (1980) is found. Fuzzy regularity and almost regularity are investigated yielding various characterizing properties of these spaces. Certain relationships among all those fuzzy separation axioms are also discussed.

引用

页码：261 / 270

页数：10

共 50 条

[1] SEPARATION AXIOMS IN ORDERED FUZZY TOPOLOGICAL-SPACES
CHAUDHURI, AK
DAS, P
[J]. FUZZY SETS AND SYSTEMS, 1993, 60 (02) : 213 - 218
[2] ON SEPARATION AXIOMS IN FUZZY TOPOLOGICAL-SPACES, FUZZY NEIGHBORHOOD SPACES, AND FUZZY UNIFORM-SPACES
WUYTS, P
LOWEN, R
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 93 (01) : 27 - 41
[3] ALPHA-SEPARATION AXIOMS AND ALPHA-COMPACTNESS IN FUZZY TOPOLOGICAL-SPACES
MASHHOUR, AS
GHANIM, MH
ALLA, MAF
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1986, 16 (03) : 591 - 600
[4] FRAME MAPPINGS AND POINT SEPARATION AXIOMS OF TOPOLOGICAL-SPACES
HE, M
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 1988, 9 (04) : 442 - 446
[5] FRAME MAPPINGS AND POINT SEPARATION AXIOMS OF TOPOLOGICAL-SPACES
HE, M
[J]. KEXUE TONGBAO, 1988, 33 (23): : 1921 - 1923
[6] REGULARITY AXIOMS IN FUZZY TOPOLOGICAL-SPACES AND FR-PROXIMITIES
KANDIL, A
ELSHAFEE, ME
[J]. FUZZY SETS AND SYSTEMS, 1988, 27 (02) : 217 - 231
[7] Separation axioms in fuzzy topological ordered spaces
El-Saady, K
Bakeir, MY
[J]. FUZZY SETS AND SYSTEMS, 1998, 98 (02) : 211 - 215
[8] SOME STRONG SEPARATION IN FUZZY TOPOLOGICAL-SPACES
ELHAKEIM, KMA
[J]. FUZZY SETS AND SYSTEMS, 1993, 60 (02) : 233 - 239
[9] Separation Axioms in Mixed Fuzzy Topological Spaces
Ray, Gautam Chandra
Chetri, Hari Prasad
[J]. INTERNATIONAL JOURNAL OF FUZZY LOGIC AND INTELLIGENT SYSTEMS, 2021, 21 (04) : 423 - 430
[10] Separation axioms on fuzzy hypersoft topological spaces
Ozturk, Taha Yasin
[J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2022, 25 (08) : 2591 - 2601

← 1 2 3 4 5 →