Some Tri-Parametric Weighted Generalized Information 
Measures by Employing Two-Dimensional Probability 
Distribution

Rohit Kumar Verma; M. Bhagya Laxmi

doi:https://doi.org/10.14445/22315373/IJMTT-V71I3P102

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 71 | Issue 3 | Year 2025 | Article Id. IJMTT-V71I3P102 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I3P102

Some Tri-Parametric Weighted Generalized Information Measures by Employing Two-Dimensional Probability Distribution

Rohit Kumar Verma, M. Bhagya Laxmi

Received	Revised	Accepted	Published
08 Jan 2025	19 Feb 2025	09 Mar 2025	15 Mar 2025

Abstract

The fundamental idea in information theory literature, Shannon entropy has several applications in various scientific and technological fields. The difference in this entropy measure has been generalized by researchers using various methodologies. The purpose of this paper is to emphasize how important the concavity characteristic is. Thus, we have presented and examined three new generalized measures of probabilistic entropy with two dimensions, mostly based on the concavity of the entropy function postulate. We have also examined their significant and intriguing aspects.

Keywords

Shannon entropy, Weighted entropy, Useful information measures.

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Citation :

Rohit Kumar Verma, M. Bhagya Laxmi, "Some Tri-Parametric Weighted Generalized Information Measures by Employing Two-Dimensional Probability Distribution," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 3, pp. 16-24, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I3P102