On the nearest parametric approximation of a fuzzy number-Revisited

被引：36

作者：

Ban, Adrian I. ^{[1
]}

机构：

[1] Univ Oradea, Dept Math & Informat, Oradea 410087, Romania

来源：

FUZZY SETS AND SYSTEMS | 2009年 / 160卷 / 21期

关键词：

Fuzzy number; Distance; Parametric approximation; EXPECTED INTERVAL; TRAPEZOIDAL APPROXIMATIONS; TRIANGULAR APPROXIMATIONS;

D O I：

10.1016/j.fss.2009.05.001

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The problem of finding the nearest parametric approximation of a fuzzy number with respect to the average Euclidean distance is completely solved. Properties of translation invariance, scale invariance, additivity, preservation of expected value, value and ambiguity of this new approximation operator are studied and an algorithm for computing it is provided. (c) 2009 Elsevier B.V. All rights reserved.

引用

页码：3027 / 3047

页数：21

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