Determination of the degrees of P-property and nonnegative invertibility for a fuzzy matrix

被引：3

作者：

Dehghan, Mehdi

Hashemi, Behnam

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran

[2] Shiraz Univ Technol, Fac Basic Sci, Dept Math, Shiraz 71555, Iran

来源：

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING | 2007年 / 46卷 / 01期

关键词：

fuzzy matrix; interval matrix; P-property; nonnegative invertibility; lyapunov diagonal stability;

D O I：

10.1016/j.ijar.2006.09.002

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 [模式识别与智能系统]; 0812 [计算机科学与技术]; 0835 [软件工程]; 1405 [智能科学与技术];

摘要：

Checking P-property and nonnegative invertibility of real and interval matrices has been widely investigated in the literature. In this paper, we try to extend the study to fuzzy matrices of fuzzy numbers, by employing the methods used for the corresponding interval matrices. To determine the degree of P-property and nonnegative invertibility for a fuzzy matrix, we propose an algorithm. Applications in matrix stability are given via the numerical examples. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：98 / 108

页数：11

共 30 条

[1]

[Anonymous], 1997, RELIAB COMPUT, DOI DOI 10.1007/978-1-4757-2793-7

[2]

[Anonymous], 686 AC SCI CZECH REP

[3]

BERMAN A, 1984, AMS SUMM RES C LIN A

[4]

SOLVING SYSTEMS OF LINEAR FUZZY EQUATIONS [J].

BUCKLEY, JJ ;

QU, Y .

FUZZY SETS AND SYSTEMS, 1991, 43 (01) :33-43

[5]

Cottle R, 1992, The Linear Complementarity Problem

[6]

DEHGHAN M, IN PRESS APPL MATH C

[7]

DEHGHAN M, IN PRESS CHAOS SOLIT

[8]

DEHGHAN M, UNPUB INVERSE FUZZY

[9]

Dubois D., 1980, Fuzzy Sets and Systems, V3, P37, DOI 10.1016/0165-0114(80)90004-4

[10]

Dubois D., 1980, FUZZY SET SYST

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