On the shoulders of the three giants information theory, semi-group theory, and uncertain reasoning with information-theoretic applications to human computer interaction

Authors

  • Ismail A Mageed * School of Computer Science, AI, and Electronics, Faculty of engineering and Digital Technologies, University of Bradford, United Kingdom

https://doi.org/10.48313/uda.v1i2.46

Abstract

This paper provides a first-time ever unification of information theory, semi-group theory with the theory of uncertain reasoning, through functional perspective. Fundamentally, the threshold theorems for the Inference Functional (IF) were devised. Furthermore, numerical experiments are illustrated. Some information-theoretic applications to Human Computer Interaction (HCI) are provided. The paper ends with concluding remarks, open problems, and future research pathways.

Keywords:

Rényi generalized entropies, Information theory, Semi-group theory, Uncertain reasoning

References

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Published

2025-12-26

Issue

Vol. 1 No. 2 (2024): Uncertainty Discourse and Applications

Section

Articles

How to Cite

On the shoulders of the three giants information theory, semi-group theory, and uncertain reasoning with information-theoretic applications to human computer interaction. (2025). Uncertainty Discourse and Applications, 1(2), 258-270. https://doi.org/10.48313/uda.v1i2.46

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