Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10150944 | Fuzzy Sets and Systems | 2018 | 22 Pages |
Abstract
In this paper we present a new method for solving an mÃn fuzzy linear system (FLS), AXË=YË, where the coefficient matrix A is real, using the block representation of generalized inverses. A necessary and sufficient condition for a block matrix to be the Moore-Penrose inverse of the full rank matrix associated to a FLS is given. We obtain a necessary and sufficient condition for the existence of solutions of a FLS, with arbitrary real coefficient matrix. The exact algebraic form, with respect to the Moore-Penrose inverse, of any solution of FLS of this type is established. A general, efficient and universal method for obtaining the exact solutions is introduced. Some numerical examples are presented to illustrate the proposed method.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Biljana MihailoviÄ, Vera Miler JerkoviÄ, Branko MaleÅ¡eviÄ,