APPROXIMATION OF FUNCTIONAL-RELATIONSHIPS TO FUZZY OBSERVATIONS

被引:9
作者
ALBRECHT, M [1 ]
机构
[1] MIN ACAD FREIBERG,DEPT MATH,FREIBERG,GERMANY
关键词
FUZZY OBSERVATIONS; FUNCTIONAL RELATIONSHIPS; APPROXIMATION; HAUSDORFF-LIKE DISTANCES;
D O I
10.1016/0165-0114(92)90281-8
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
For approximating functional relationships to fuzzy observations there exist several approaches joining some communities: The functional relationship is still kept a fuzzy function even if the observations are crisp. The case of crisp observations often requires specific considerations. In this paper an approximation method using Hausdorff-like distances is proposed naturally containing the crisp observation case and leading to a crisp function for crisp observations. Additional, the proposed method leads to well-known approximation principles from classical theory and can be realized by standard computer software. A simple example completes the considerations.
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页码:301 / 305
页数:5
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