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.
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页码：261 / 270
页数：10
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