FUZZY SYNTOPOGENOUS STRUCTURES COMPATIBLE WITH LOWEN FUZZY UNIFORMITIES AND ARTICO-MORESCO FUZZY PROXIMITIES

被引：20
|
作者：
KATSARAS, AK
机构：
[1] Department of Mathematics, University of Ioannina, Ioannina
来源：
FUZZY SETS AND SYSTEMS | 1990年 / 36卷 / 03期
关键词：
fuzzy neighbourhood space; fuzzy proximity; fuzzy topogenous order; Fuzzy topological space; fuzzy uniform space;
D O I：
10.1016/0165-0114(90)90110-R
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we give a new definition of a fuzzy syntopogenous structure. It turns out that this definition agrees very well with the fuzzy neighbourhood structures, the Lowen fuzzy uniformities and the Artico-Moresco fuzzy proximities. More precisely, it is shown that there is a one-to-one correspondence between the fuzzy neighbourhood structures and the so called perfect fuzzy topogenous structures. Also there is a one-to-one correspondence between the Artico-Moresco fuzzy proximities and the symmetrical fuzzy topogenous structures. Finally, it is proved that there exists a one-to-one correspondence between the Lowen fuzzy uniformities and the symmetrical biperfect fuzzy syntopogenous structures. © 1990.
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页码：375 / 393
页数：19
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