Trapezoidal approximations of fuzzy numbers preserving the expected interval - Algorithms and properties

被引：76

作者：

Grzegorzewski, Przemyslaw ^{[1
,2
]}

机构：

[1] Polish Acad Sci, Syst Res Inst, PL-01447 Warsaw, Poland

[2] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00661 Warsaw, Poland

来源：

FUZZY SETS AND SYSTEMS | 2008年 / 159卷 / 11期

关键词：

fuzzy numbers; approximation of fuzzy numbers; expected interval; ambiguity; value of a fuzzy number; width; weighted expected value;

D O I：

10.1016/j.fss.2007.12.001

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Fuzzy number approximation by trapezoidal fuzzy numbers which preserves the expected interval is discussed. Algorithms for calculating the proper approximations are proposed and some properties of the approximation operators are discussed. It is shown that an adequate approximation operator might be chosen through the comparisons of some characteristics of the fuzzy number, like its ambiguity, width, its value and weighted expected value. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：1354 / 1364

页数：11

共 13 条

[1] Note on "Trapezoidal approximation of fuzzy numbers" [J].