Approximation by fuzzy B-spline series

被引：7

作者：

Blaga P. ^{[1
,2
]}

Bede B. ^{[3
,4
,5
]}

机构：

[1] Faculty of Mathematics and Computer Science, University Babes-Bolyai, Cluj-Napoca

[2] Department of Applied Mathematics, University Babes-Bolyai, Cluj-Napoca, 400084 Cluj-Napoca

[3] University of Oradea, Oradea, Romania and Budapest Tech., Budapest

[4] Department of Mathematics and Informatics, University of Oradea, 410087 Oradea

[5] Department of Mechanical and System Engineering, Budapest Tech., H-1081 Budapest

来源：

Journal of Applied Mathematics and Computing | 2006年 / 20卷 / 1-2期

关键词：

Approximation of fuzzy-number-valued functions; Fuzzy B-spline series; Fuzzy number;

D O I：

10.1007/BF02831930

中图分类号：

学科分类号：

摘要：

We study properties concerning approximation of fuzzy-number-valued functions by fuzzy B-spline series. Error bounds in approximation by fuzzy B-spine series are obtained in terms of the modulus of continuity. Particularly simple error bounds are obtained for fuzzy splines of Schoenberg type. We compare fuzzy B-spline series with existing fuzzy concepts of splines. © 2006 Korean Society for Computational &z. Applied Mathematics and Korean SIGCAM.

引用

页码：157 / 169

页数：12

共 23 条

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