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.

引用

页码：375 / 393

页数：19

共 14 条

[1] FUZZY PROXIMITIES COMPATIBLE WITH LOWEN FUZZY UNIFORMITIES [J].