ON FUZZY NEIGHBORHOOD SPACES

被引：8

作者：

ALLAM, AA ^{[1
]}

ELHAKEIM, KMA ^{[1
]}

MORSI, NN ^{[1
]}

机构：

[1] MIL TECH COLL,DEPT MATH,CAIRO,EGYPT

来源：

FUZZY SETS AND SYSTEMS | 1991年 / 41卷 / 02期

关键词：

FUZZY NEIGHBORHOOD SPACES; SUM OPERATION; CONJUNCTION OPERATION; CECH FUZZY CLOSURE OPERATOR; QUOTIENT FUZZY NEIGHBORHOOD SYSTEMS;

D O I：

10.1016/0165-0114(91)90224-E

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We study the behaviour of the fuzzy closure operator of a fuzzy neighbourhood space (fns, for short) with regard to the two operations of sum '+' and conjunction '&' on fuzzy subsets. We supply sufficient conditions on a Cech fuzzy closure operator to be the fuzzy closure operator of a fns. Finally, we study quotient fuzzy neighbourhood systems, with the help of the notion of dual fuzzy neighbourhood spaces of [11].

引用

页码：201 / 212

页数：12

共 16 条

[1]

AHSANULLAH TMG, 1984, THESIS U BRUSSEL VRI

[2] ADDITIVE FUZZY MEASURES AND INTEGRALS .1. [J].