A Reputation-Enhanced Shapley–FAHP Method for Multi-Dimensional Food Safety Evaluation

Yang, Xiaobo; Wei, Hanning; Guo, Binghui; Zuo, Min; Mo, Lipo; Gao, Haiwei

doi:10.3390/app151910787

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Open AccessArticle

A Reputation-Enhanced Shapley–FAHP Method for Multi-Dimensional Food Safety Evaluation

by

Xiaobo Yang

^1,2,*

,

Hanning Wei

^3,4,

Binghui Guo

^3,4,

Min Zuo

^5,*

,

Lipo Mo

⁵ and

Haiwei Gao

²

¹

School of Food and Health, Beijing Technology and Business University, Beijing 100048, China

²

National Engineering Research Centre for Agri-Product Quality Traceability, Beijing Technology and Business University, Beijing 100048, China

³

School of Artificial Intelligence, Beihang University, Beijing 100191, China

⁴

Key Laboratory of Mathematics, Informatics, and Behavioral Semantics, Ministry of Education, Beihang University, Beijing 100191, China

⁵

Institute of Systems Science, Beijing Wuzi University, Beijing 101149, China

^*

Authors to whom correspondence should be addressed.

Appl. Sci. 2025, 15(19), 10787; https://doi.org/10.3390/app151910787

Submission received: 16 August 2025 / Revised: 2 October 2025 / Accepted: 4 October 2025 / Published: 7 October 2025

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Abstract

Ensuring food safety in complex supply chains requires evaluation frameworks that integrate multiple indicators, account for their interdependencies, and incorporate historical performance. This study proposes a novel RM–Shapley–FAHP framework that combines the Fuzzy Analytic Hierarchy Process, Shapley value contribution analysis, and a reputation decay mechanism to construct a dynamic, multi-year assessment model. The framework evaluates six governance subsystems, mitigates indicator redundancy, and links past performance to current risk posture. Applied to a leading food enterprise over three years, the method demonstrated superior consistency, interpretability, and operational relevance compared to FAHP, entropy weighting, and equal-weight baselines. The results demonstrate that RM–Shapley–FAHP framework effectively supports balanced development in food safety governance by capturing temporal dynamics and interdependencies, offering interpretable and operationally relevant guidance for decision makers. In future work, this framework may be extended with machine learning to improve adaptability for multi-dimensional and time-series evaluations, noted here as a research prospect rather than a present contribution.

Keywords: food safety evaluation; Shapley value; FAHP; reputation mechanism; food supply governance

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MDPI and ACS Style

Yang, X.; Wei, H.; Guo, B.; Zuo, M.; Mo, L.; Gao, H. A Reputation-Enhanced Shapley–FAHP Method for Multi-Dimensional Food Safety Evaluation. Appl. Sci. 2025, 15, 10787. https://doi.org/10.3390/app151910787

AMA Style

Yang X, Wei H, Guo B, Zuo M, Mo L, Gao H. A Reputation-Enhanced Shapley–FAHP Method for Multi-Dimensional Food Safety Evaluation. Applied Sciences. 2025; 15(19):10787. https://doi.org/10.3390/app151910787

Chicago/Turabian Style

Yang, Xiaobo, Hanning Wei, Binghui Guo, Min Zuo, Lipo Mo, and Haiwei Gao. 2025. "A Reputation-Enhanced Shapley–FAHP Method for Multi-Dimensional Food Safety Evaluation" Applied Sciences 15, no. 19: 10787. https://doi.org/10.3390/app151910787

APA Style

Yang, X., Wei, H., Guo, B., Zuo, M., Mo, L., & Gao, H. (2025). A Reputation-Enhanced Shapley–FAHP Method for Multi-Dimensional Food Safety Evaluation. Applied Sciences, 15(19), 10787. https://doi.org/10.3390/app151910787

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A Reputation-Enhanced Shapley–FAHP Method for Multi-Dimensional Food Safety Evaluation

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