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Applying Dual Core-EP Inverse to Give General Strong Fuzzy Solutions of Complex Dual Fuzzy Matrix Equation

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  • Hongjie Jiang
  • Jiaying Zhu
  • Xianchun Meng

Abstract

In this paper, we define the complex dual fuzzy matrix equation and solve it based on the study of the dual core-EP inverse. First, we define the complex dual fuzzy matrix equation. Second, by characterizing some properties of the dual core-EP inverse, we get the block structure of the dual core-EP inverse corresponding to the coefficient matrix of the fuzzy complex number matrix equation that is then used to obtain a strong fuzzy solution of the complex dual fuzzy matrix equation. Third, we derive the general strong fuzzy solution of the complex dual fuzzy matrix equation based on the dual core-EP inverse or a strong fuzzy solution and establish an algorithm to solve this equation by using the dual core-EP inverse. Lastly, several numerical examples are provided to demonstrate the main results.

Suggested Citation

  • Hongjie Jiang & Jiaying Zhu & Xianchun Meng, 2026. "Applying Dual Core-EP Inverse to Give General Strong Fuzzy Solutions of Complex Dual Fuzzy Matrix Equation," Journal of Applied Mathematics, Hindawi, vol. 2026, pages 1-15, August.
    • Handle: RePEc:hin:jnljam:5365073
    DOI: 10.1155/jama/5365073
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