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
收藏
页码：648 / 659
页数：12
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