T-syntopogenous structures compatible with fuzzy T-uniformities and fuzzy T-neighbourhoods structures

被引:1
|
作者
Morsi, Nehad N. [1 ]
Hashem, Khaled A. [2 ]
机构
[1] Arab Acad Sci Technol & Maritime Transport, Dept Basic Sci, Cairo, Egypt
[2] Benha Univ, Fac Sci, Dept Math, Banha, Egypt
关键词
T-syntopogenous spaces; Fuzzy T-neighbourhood spaces; Fuzzy T-uniform spaces; SPACES; PROXIMITIES; LOGIC;
D O I
10.1016/j.fss.2014.02.008
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we continue the discussion of T-syntopogenous spaces, which were introduced by the second author in 2012. This manuscript shows that the T-syntopogenous spaces agree well with Hashem-Morsi fuzzy T-neighbourhood spaces (2003), fuzzy T-proximity spaces (2002) and Hohle fuzzy T-uniform spaces (1982). Also, we show that each syntopogenous space in the sense of Csaszar (1963), generates a T-syntopogenous space. Finally, we deduce the concept of fuzzy T-neighbourhood syntopogenous structures and some related results. (C) 2014 Elsevier B.V. All rights reserved.
引用
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页码:23 / 51
页数:29
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