Strong and ultra separation axioms on fuzzy bitopological spaces

被引：3
|
作者：
Kandil, A
Nouh, AA
El-Sheikh, SA [1 ]
机构：
[1] Ain Shams Univ, Fac Educ, Dept Math, Cairo, Egypt
[2] Kuwait Univ, Fac Sci, Dept Math, Safat 13060, Kuwait
[3] Univ Mansoura, Fac Sci, Dept Math, Mansoura, Egypt
来源：
FUZZY SETS AND SYSTEMS | 1999年 / 105卷 / 03期
关键词：
fuzzy bitopologicai spaces; alpha-level bitopological spaces; strong fuzzy pairwise separation axioms; alpha-bitopologically generated;
D O I：
10.1016/S0165-0114(97)00244-3
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Given a fuzzy bitopological space (X, tau(1), tau(2)), we introduce a new notion of fuzzy pairwise separation axioms by using the family of its level bitopologies l alpha(tau(1)), l alpha(tau(2)), alpha is an element of [0,1). We prove that these concepts are good extension and we compare them with its corresponding FPTi (Kandil and El-Shafee, 1991) and FPT*(i) (Abu Safiya et al., 1994) (i = 0, 1,2, 3, 4), respectively. We show that these notions are not equivalent and we give a number of examples which illustrate this fact. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：459 / 467
页数：9
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