Convergences in fuzzy topological spaces

被引：5

作者：

Georgiou, DN

Papadopoulos, BK ^{[1
]}

机构：

[1] Democritus Univ Thrace, Dept Math, GR-67100 Xanthi, Greece

[2] Univ Thessaly, Fac Technol Sci, Dept Planning & Reg Dev, Dept Civil Engn, Volos 38334, Greece

来源：

FUZZY SETS AND SYSTEMS | 1999年 / 101卷 / 03期

关键词：

fuzzy sets; fuzzy topology; fuzzy upper and lower limit; fuzzy compact spaces and fuzzy continuous; convergences;

D O I：

10.1016/S0165-0114(97)00112-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we introduce the notions of fuzzy upper limit, fuzzy lower limit and the fuzzy continuous convergence on the set of fuzzy continuous functions. In examining these aforementioned notions in the present paper we find on the one hand many properties of them whilst on the other, the following applications take place: (alpha) the characterization of fuzzy compact spaces through the contribution of fuzzy upper limit and (beta) the characterization of the fuzzy continuous convergence through the assistance of fuzzy upper limit. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：495 / 504

页数：10

共 13 条

[1] ON FUZZY ALMOST CONTINUOUS-FUNCTIONS [J].