JOURNAL ARTICLE

RETRACTED: Dual rectangular fuzzy complex matrix equations: extended solution, algebraic solution, solution and their calculating.

  • Published In: Journal of Intelligent & Fuzzy Systems, 2025, v. 48. P. 455 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Gong, Zengtai; Zhang, Yuanyuan 3 of 3

Abstract

The article focuses on solving dual rectangular fuzzy complex linear systems and matrix equations, where coefficients are crisp complex matrices and unknowns and constants are rectangular fuzzy complex numbers. It introduces a method that transforms the original m × n dual rectangular fuzzy complex matrix equation into an equivalent 4m × 4n real matrix equation, enabling direct computation of algebraic solutions without separately calculating extended solutions or parameters for real and imaginary parts. The approach relies on interval arithmetic for generalized fuzzy complex numbers and uses generalized inverses for solution derivation. Several numerical examples illustrate the method's effectiveness and demonstrate that it can also be applied to matrix equations with real coefficients.

Additional Information

  • Source:Journal of Intelligent & Fuzzy Systems. 2025/03, Vol. 48, p455
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2025
  • ISSN:1064-1246
  • DOI:10.3233/JIFS-239305
  • Accession Number:184162125
  • Copyright Statement:Copyright of Journal of Intelligent & Fuzzy Systems is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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