A generalization of Hukuhara difference and division for interval and fuzzy arithmetic

被引：402

作者：

Stefanini, Luciano ^{[1
]}

机构：

[1] Univ Urbino Carlo Bo, DEMQ, I-61029 Urbino, PU, Italy

来源：

FUZZY SETS AND SYSTEMS | 2010年 / 161卷 / 11期

关键词：

Hukuhara difference; Generalized difference; Generalized division; Interval arithmetic; Fuzzy arithmetic; Fuzzy numbers; VALUED FUNCTIONS; EQUATIONS; NUMBERS; SETS; OPERATIONS; SYSTEMS; DIFFERENTIABILITY;

D O I：

10.1016/j.fss.2009.06.009

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We propose a generalization of the Hukuhara difference. First, the case of compact convex sets is examined; then, the results are applied to generalize the Hukuhara difference of fuzzy numbers, using their compact and convex level-cuts. Finally, a similar approach is suggested to attempt a generalization of division for real intervals and fuzzy numbers. Applications to solving interval and fuzzy linear equations and fuzzy differential equations are shown. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1564 / 1584

页数：21

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