On regularity of block triangular fuzzy matrices

被引：0

作者：

Meenakshi Ar. ^{[1
]}

机构：

[1] Department of Mathematics, Annamalai University

来源：

Journal of Applied Mathematics and Computing | 2004年 / 16卷 / 1-2期

关键词：

Block triangular matrix; Fuzzy matrix; Fuzzy relational equation; Triangular Toeplitz matrix;

D O I：

10.1007/BF02936162

中图分类号：

学科分类号：

摘要：

Necessary and sufficient conditions are given for the regularity of block triangular fuzzy matrices. This leads to characterization of idempotency of a class of triangular Toeplitz matrices. As an application, the existence of group inverse of a block triangular fuzzy matrix is discussed. Equivalent conditions for a regular block triangular fuzzy matrix to be expressed as a sum of regular block fuzzy matrices is derived. Further, fuzzy relations equations consistency is studied.

引用

页码：207 / 220

页数：13