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Mathematics
Volume 13
Issue 15
10.3390/math13152502
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Retraction of Mathematics 2020, 8(3), 305.
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Retraction

RETRACTED: Brikaa et al. Resolving Indeterminacy Approach to Solve Multi-Criteria Zero-Sum Matrix Games with Intuitionistic Fuzzy Goals. Mathematics 2020, 8, 305

by
M. G. Brikaa
1,2,
Zhoushun Zheng
1,* and
El-Saeed Ammar
3
1
School of Mathematics and Statistics, Central South University, Changsha 410083, China
2
Department of Basic Science Faculty of Computers & Informatics, Suez Canal University, Ismailia 41522, Egypt
3
Department of Mathematics Faculty of Science, Tanta University, Tanta 31527, Egypt
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(15), 2502; https://doi.org/10.3390/math13152502
Submission received: 24 July 2025 / Accepted: 25 July 2025 / Published: 4 August 2025
Versions Notes
The journal retracts the article “Resolving Indeterminacy Approach to Solve Multi-Criteria Zero-Sum Matrix Games with Intuitionistic Fuzzy Goals” [1] cited above.
Following publication, the Editorial Office became aware of concerns relating to potential flaws in the programming model and the results reported in this article [1].
Adhering to our complaint’s procedure, an investigation was conducted by the Editorial Office and Editorial Board which confirmed major errors that compromise the reliability of the study’s findings. During the investigation, the authors did not respond to requests to provide the raw data, and as a result, the Editorial Board has lost confidence in the reliability of the findings and has decided to retract this publication, as per MDPI’s retraction policy (https://www.mdpi.com/ethics#_bookmark30) (Accessed on 23 July 2025).
This retraction was approved by the Editor-in-Chief of the journal Mathematics.
The authors did not provide a comment on this decision.

Reference

  1. Brikaa, M.G.; Zheng, Z.; Ammar, E.-S. RETRACTED: Resolving Indeterminacy Approach to Solve Multi-Criteria Zero-Sum Matrix Games with Intuitionistic Fuzzy Goals. Mathematics 2020, 8, 305. [Google Scholar] [CrossRef]
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.

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MDPI and ACS Style

Brikaa, M.G.; Zheng, Z.; Ammar, E.-S. RETRACTED: Brikaa et al. Resolving Indeterminacy Approach to Solve Multi-Criteria Zero-Sum Matrix Games with Intuitionistic Fuzzy Goals. Mathematics 2020, 8, 305. Mathematics 2025, 13, 2502. https://doi.org/10.3390/math13152502

AMA Style

Brikaa MG, Zheng Z, Ammar E-S. RETRACTED: Brikaa et al. Resolving Indeterminacy Approach to Solve Multi-Criteria Zero-Sum Matrix Games with Intuitionistic Fuzzy Goals. Mathematics 2020, 8, 305. Mathematics. 2025; 13(15):2502. https://doi.org/10.3390/math13152502

Chicago/Turabian Style

Brikaa, M. G., Zhoushun Zheng, and El-Saeed Ammar. 2025. "RETRACTED: Brikaa et al. Resolving Indeterminacy Approach to Solve Multi-Criteria Zero-Sum Matrix Games with Intuitionistic Fuzzy Goals. Mathematics 2020, 8, 305" Mathematics 13, no. 15: 2502. https://doi.org/10.3390/math13152502

APA Style

Brikaa, M. G., Zheng, Z., & Ammar, E.-S. (2025). RETRACTED: Brikaa et al. Resolving Indeterminacy Approach to Solve Multi-Criteria Zero-Sum Matrix Games with Intuitionistic Fuzzy Goals. Mathematics 2020, 8, 305. Mathematics, 13(15), 2502. https://doi.org/10.3390/math13152502

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