A note on Zadeh's extensions

被引：76

作者：

Román-Flores, H

Barros, LC

Bassanezi, RC

机构：

[1] Univ Tarapaca, Dept Matemat, Arica, Chile

[2] UNICAMP, IMECC, BR-13081970 Campinas, SP, Brazil

来源：

FUZZY SETS AND SYSTEMS | 2001年 / 117卷 / 03期

关键词：

Zadeh's extensions; fuzzy compact sets; continuity;

D O I：

10.1016/S0165-0114(98)00408-4

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let f: R-n --> R-n and (f) over cap: F(R-n) --> F(R)(n) be Zadeh's extension of f to the space of fuzzy compact sets F(R-n). The aim of this paper is to show that if f is continuous, then (f) over cap : (F(R-n), D) --> (F(R-n), D) is also continuous, D being the supremum over Hausdorff distances between their corresponding level sets. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：327 / 331

页数：5

共 12 条

[1] ITERATED FUZZY SET SYSTEMS - A NEW APPROACH TO THE INVERSE PROBLEM FOR FRACTALS AND OTHER SETS [J].