Fuzzy linear systems and core-EP inverses
Yuefeng Gao, Jing Li
TL;DR
This paper introduces methods for solving fuzzy linear systems using the core-EP inverse, including solutions for both consistent and inconsistent cases, supported by analysis of the inverse's block structure and numerical examples.
Contribution
It presents a novel approach to fuzzy linear systems by utilizing the core-EP inverse, extending existing methods to handle inconsistent systems.
Findings
Solutions for consistent fuzzy linear systems provided.
Generalized solutions for inconsistent systems developed.
Numerical examples demonstrate the effectiveness of the methods.
Abstract
The main purpose of this paper is to provide a solution of the consistent fuzzy linear system and a generalized solution of the inconsistent fuzzy linear system involving the core-EP inverse of an associated matrix. Before this can be achieved, it is necessary to study the block structure of the core-EP inverse. Finally, results are illustrated with some numerical examples.
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Taxonomy
TopicsFuzzy Systems and Optimization · Multi-Criteria Decision Making · Matrix Theory and Algorithms