Constrained fuzzy arithmetic: Basic questions and some answers

被引：59

作者：

G. J. Klir

Y. Pan

机构：

[1] Center for Intelligent Systems and Department of Systems Science & Industrial Engineering,

[2] Thomas J Watson School of Engineering and Applied Science,undefined

[3] Binghamton University – SUNY,undefined

[4] Binghamton,undefined

[5] New York 13902-6000,undefined

[6] USA,undefined

[7] Dept. 9724,undefined

[8] Northern Telecom,undefined

[9] 97 Humboldt St. Rochester,undefined

[10] New York 14609,undefined

[11] USA,undefined

来源：

Soft Computing | 1998年 / 2卷 / 2期

关键词：

Key words Fuzzy interval; standard fuzzy arithmetic; constrained fuzzy arithmetic; linguistic variable.;

D O I：

10.1007/s005000050038

中图分类号：

学科分类号：

摘要：

The purpose of this paper is to critically examine the use of fuzzy arithmetic in dealing with fuzzy systems. It is argued that the well-known overestimation and other questionable results of standard fuzzy arithmetic have one common cause: constraints regarding linguistic variables involved are not taken into account. A general formulation of constrained fuzzy arithmetic – a nonstandard fuzzy arithmetic that takes into account these constraints – is presented and its basic characteristics are examined. More specific characteristics of constrained fuzzy arithmetic are then investigated for some common types of constraints.

引用

页码：100 / 108

页数：8