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.
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页码：327 / 331
页数：5
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