Representations with fuzzy darts

被引：8

作者：

Goetschel, RH

机构：

[1] Department of Mathematics, College of Letters and Science, University of Idaho, Moscow

来源：

FUZZY SETS AND SYSTEMS | 1997年 / 89卷 / 01期

关键词：

fuzzy numbers; fuzzy darts; fuzzy level sets; P-n-fuzzy numbers; vector spaces; differentiation; virtual interval;

D O I：

10.1016/S0165-0114(95)00099-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Fuzzy information is organized by partitioning the fuzzy interval [0, 1] into layers of ''fuzzy strata''. At each level fuzzy information is approximated by a fuzzy dart; information at all levels is combined and recorded as an n-tuple of fuzzy darts. From this perspective, fuzzy numbers with ''continuous boundaries'' are approximated by P-n-fuzzy numbers. Then, within the framework of fuzzy level sets, the problem of comparing P-n-fuzzy numbers is addressed. For applications, differentiably smooth fuzzy maps which are either ''expansive'' or ''contractive'' are characterized by their derivatives. Finally, anti-fuzzy numbers are introduced and discussed. (C) 1997 Elsevier Science B.V.

引用

页码：77 / 105

页数：29