Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Meeting at Both Ends Information – Theoretic Semi-group Theory of Uncertain Reasoning

Version 1 : Received: 31 January 2024 / Approved: 1 February 2024 / Online: 1 February 2024 (12:51:14 CET)

How to cite: A. Mageed, I. Meeting at Both Ends Information – Theoretic Semi-group Theory of Uncertain Reasoning. Preprints 2024, 2024020051. https://doi.org/10.20944/preprints202402.0051.v1 A. Mageed, I. Meeting at Both Ends Information – Theoretic Semi-group Theory of Uncertain Reasoning. Preprints 2024, 2024020051. https://doi.org/10.20944/preprints202402.0051.v1

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 were devised. Furthermore, numerical experiments are illustrated. The complex proofs in our paper are original results which emphasizes the credibility of the class of Rényi Generalized Entropies as measures of information, and that the field is open to extend an enhanced methodology regarding queuing networks with heavy tails.

Keywords

rényi generalized entropies (RGEs); information theory; semi-group theory; uncertain reasoning

Subject

Computer Science and Mathematics, Algebra and Number Theory

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