ON SOME FUZZY FUNCTIONAL-EQUATIONS

被引：14
|
作者：
SUBRAHMANYAM, PV
SUDARSANAM, SK
机构：
[1] Department of Mathematics, Indian Institute of Technology, Madras
来源：
FUZZY SETS AND SYSTEMS | 1994年 / 64卷 / 03期
关键词：
FUZZY FUNCTION; FUZZY FUNCTIONAL EQUATION; ANALYSIS; FUZZY NUMBERS; PSEUDOMETRIC; HAUSDORFF METRIC; GAUGE SPACE; ZADEH EXTENSION PRINCIPLE AND FUZZY SOLUTION;
D O I：
10.1016/0165-0114(94)90156-2
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we offer a comprehensive and unified approach to the study of existence theorems for fuzzy functional equations of the form f(x) = h(x, f(s(x))). Though this equation in the classical setting has been studied extensively in the literature there has not been much of a study of fuzzy functional equations. We employ the tools of analysis as available in E(n), the space of fuzzy numbers (which are normalized, fuzzy convex, upper semicontinuous and compactly supported).
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页码：333 / 338
页数：6
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