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AIMS Mathematics

2022, Volume 7, Issue 2: 3221-3238. doi: 10.3934/math.2022178
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On the general strong fuzzy solutions of general fuzzy matrix equation involving the Core-EP inverse

  • School of mathematics and Physics, Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Guangxi University for Nationalities, Nanning, 530006, China
  • Received: 27 April 2021 Accepted: 11 November 2021 Published: 26 November 2021

  • MSC : 08A72, 15A09

  • 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.

    Citation: Hongjie Jiang, Xiaoji Liu, Caijing Jiang. On the general strong fuzzy solutions of general fuzzy matrix equation involving the Core-EP inverse[J]. AIMS Mathematics, 2022, 7(2): 3221-3238. doi: 10.3934/math.2022178

    Related Papers:

  • 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.


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