Open AccessOn the general strong fuzzy solutions of general fuzzy matrix equation involving the Core-EP inverse
Author(s) -
Haojie Jiang,
Xiaoji Liu,
Caijing Jiang
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022178
Subject(s) - mathematics , fuzzy logic , matrix (chemical analysis) , inverse , core (optical fiber) , computer science , geometry , artificial intelligence , chemistry , chromatography , telecommunications
The inconsistent or consistent general fuzzy matrix equation are studied in this paper. The aim of this paper is threefold. Firstly, general strong fuzzy matrix solutions of consistent general fuzzy matrix equation are derived, and an algorithm for obtaining general strong fuzzy solutions of general fuzzy matrix equation by Core-EP inverse is also established. Secondly, if inconsistent or consistent general fuzzy matrix equation satisfies $ X\in R(S^{k}) $, the unique solution or unique least squares solution of consistent or inconsistent general fuzzy matrix equation are given by Core-EP inverse. Thirdly, we present an algorithm for obtaining Core-EP inverse. Finally, we present some examples to illustrate the main results.