The nearest trapezoidal form of a generalized left right fuzzy number

被引：71

作者：

Abbasbandy, S. ^{[1
]}

Amirfakhrian, M.

机构：

[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 34194, Iran

[2] Islamic Azad Univ, Dept Math, Cent Tehran Branch, Tehran 1416894351, Iran

来源：

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING | 2006年 / 43卷 / 02期

关键词：

generalized LR fuzzy number; value; ambiguity;

D O I：

10.1016/j.ijar.2006.04.001

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We propose a new approach to assigning distance between fuzzy numbers. A pseudo-metric on the set of fuzzy numbers and a metric on the set of trapezoidal fuzzy numbers are described. The regular reducing functions and the Hausdorff metric are used to define the metric. Using this metric, we can approximate an arbitrary generalized left right fuzzy number with a trapezoidal one. Finally, powers and multiplication of trapezoidal fuzzy numbers are approximated. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：166 / 178

页数：13

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