Singular Fuzzy Linear Systems and the W-weighted Drazin Inverse

被引：0

作者：

Nikuie, M. ^{[1
]}

Ahmad, M. Z. ^{[2
]}

机构：

[1] Islamic Azad Univ, Tabriz Branch, Young Researchers & Elite Club, Tehran, Iran

[2] Univ Malaysia Perlis, Inst Engn Math, Arau 02600, Perlis, Malaysia

来源：

INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2014 (ICOMEIA 2014) | 2015年 / 1660卷

关键词：

Generalized inverses; W-weighted Drazin inverse; linear system of equations; E-INFINITY; REPRESENTATION; PERTURBATION; SUPERSTRINGS;

D O I：

10.1063/1.4915643

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The linear system of equations A (x) over tilde = (b) over tilde wherein A is a crisp singular matrix (x) over tilde and (b) over tilde are vectors of fuzzy numbers in paremetric form is called a singular fuzzy linear system of equations. Let A is an element of C-mxn, W is an element of C-nxm, the rectangular crisp matrix A has the unique W-weighted Drazin inverse; denoted by A(D,W), which satisfies AWX = XWA, XWAWX = X, (AW)k+1XW = (AW)(k), where ind(AW) = k. The W-weighted Drazin inverse in solving the crisp linear system WAWx=b has been used. In this paper, some new results on the W-weighted Drazin inverse are given. This results in solving singular fuzzy linear system, constrained linear systems and etc, would be applied.

引用

页数：6

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