WHY TRIANGULAR MEMBERSHIP FUNCTIONS

被引：566

作者：

PEDRYCZ, W

机构：

[1] Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg

来源：

FUZZY SETS AND SYSTEMS | 1994年 / 64卷 / 01期

关键词：

INPUT AND OUTPUT INTERFACES; FUZZY MODELING; TRIANGULAR MEMBERSHIP FUNCTIONS; RECONSTRUCTION; VECTOR QUANTIZATION; ENTROPY EQUALIZATION;

D O I：

10.1016/0165-0114(94)90003-5

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this note we look at a certain theoretically sound motivation behind the common use of triangular (and trapezoidal) membership functions. The studies are completed within a conceptual framework of fuzzy modelling whose structure comprises of input and output interfaces linked with a single transformation module aimed at processing linguistic information. It is shown that under some additional mild assumptions these triangular fuzzy sets comply with a request for a uniformly excited codebook in the case of the input interfaces and a satisfaction of a zero-error reconstruction criterion being formulated for the output interface.

引用

页码：21 / 30

页数：10

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