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.
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页数：6
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