A mathematical framework for assessing food fraud intentions

Authors

  • Shadreck Muyambo
    osField Research & Development Co., 25A Scott Road Hatfield, Harare, Zimbabwe
  • Jack A Urombo
    Department of Mathematical Sciences, Harare Institute of Technology, P. O. Box BE277 Belvedere, Harare, Zimbabwe
    Quanta Research, Scientific and Technical (QRST), Harare, Zimbabwe
  • Garry K. Masoha
    osField Research & Development Co., 25A Scott Road Hatfield, Harare, Zimbabwe
  • Livingstone Jenya
    osField Research & Development Co., 25A Scott Road Hatfield, Harare, Zimbabwe

Keywords:

Food fraud, Ethical fading, Unethicality, Bounded ethicality, Malicious intent, Similarity distance

Abstract

This work presents a framework for assessing subjects’ intentions to engage in food fraud. The model demonstrated that the decision to commit fraud arises from psychological mechanisms of malicious intent (Π) and ethical fading-bounded ethicality (Ω). Based on these psychological processes, the framework utilises a survey tool to generate finite sets of binary responses, fT (theorised response set derived from governing moral notions) and fA (actual response set given by subjects). The similarity function, fT ϕ fA, maps a dichotomous variable, with arguments (p, q), to a continuous variable, f [(p, q) 7→ f ]. The model metrics have Jaccard index characteristics with a range of 0.0-1.0, where fraud intention is low when f → 0.0 and high when f → 1.0. The number of questions used in a survey indicates special characteristics of the model, for instance, its rate of change (Rf ) and the number of possible response patterns (Γ). Survey data (N=54) was used to validate the model. The results show that the f values for respondents range from 0.21-0.69 with a mean of 0.44. Indicating that the respondents have moderate to neutral inclinations towards fraud. The statistical difference between f -values obtained from Π and Ω data indicates that they have the same effect on food fraud intention (p > 0.05). The model is essential when assessing the fraud intention of an individual or population by examining and understanding factors contributing to fraud and their numerical impacts. This is a significant step towards developing a fraud prevention framework.

Dimensions

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Published

2025-10-18

How to Cite

A mathematical framework for assessing food fraud intentions. (2025). African Scientific Reports, 4(3), 314. https://doi.org/10.46481/asr.2025.4.3.314

Issue

Volume 4, Issue 3, December 2025 (In Progress)

Section

MATHEMATICAL SCIENCES SECTION
Copyright & Licensing

Copyright (c) 2025 Shadreck Muyambo, Jack A Urombo, Garry K. Masoha, Livingstone Jenya

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

A mathematical framework for assessing food fraud intentions. (2025). African Scientific Reports, 4(3), 314. https://doi.org/10.46481/asr.2025.4.3.314

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