Nearest piecewise linear approximation of fuzzy numbers

被引：46

作者：

Coroianu, Lucian ^{[1
]}

Gagolewski, Marek ^{[2
,3
]}

Grzegorzewski, Przemyslaw ^{[2
,3
]}

机构：

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

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

[3] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00662 Warsaw, Poland

来源：

FUZZY SETS AND SYSTEMS | 2013年 / 233卷

关键词：

Approximation of fuzzy numbers; Fuzzy number; Piecewise linear approximation; TRAPEZOIDAL APPROXIMATIONS; EXPECTED INTERVAL; TRIANGULAR APPROXIMATIONS; PARAMETRIC APPROXIMATION; ALGORITHMS; QUANTITIES;

D O I：

10.1016/j.fss.2013.02.005

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The problem of the nearest approximation of fuzzy numbers by piecewise linear 1-knot fuzzy numbers is discussed. By using 1-knot fuzzy numbers one may obtain approximations which are simple enough and flexible to reconstruct the input fuzzy concepts under study. They might be also perceived as a generalization of the trapezoidal approximations. Moreover, these approximations possess some desirable properties. Apart from theoretical considerations approximation algorithms that can be applied in practice are also given. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：26 / 51

页数：26

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