Higher Degree F-transforms Based on B-splines of Two Variables

被引：3

作者：

Kokainis, Martins ^{[1
]}

Asmuss, Svetlana ^{[1
,2
]}

机构：

[1] Univ Latvia, Dept Math, Zellu 25, LV-1002 Riga, Latvia

[2] Univ Latvia, Inst Math & Comp Sci, Raina Bulvaris 29, LV-1459 Riga, Latvia

来源：

INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS, IPMU 2016, PT I | 2016年 / 610卷

关键词：

F-transform; Two-dimensional fuzzy partition; Approximation error; B-splines;

D O I：

10.1007/978-3-319-40596-4_54

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The paper deals with the higher degree fuzzy transforms (F-transforms with polynomial components) for functions of two variables in the case when two-dimensional generalized fuzzy partition is given by B-splines of two variables. We investigate properties of the direct and inverse F-transform in this case and prove that using B-splines as basic functions of fuzzy partition allows us to improve the quality of approximation.

引用

页码：648 / 659

页数：12

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