Maximum Relative Divergence Principle for Grading Functions on Direct Products of Chains

2023/03/24 by Dukhovny, Alexander · 1 citation
#60A86 #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR)

paper · doi:10.48550/arxiv.2303.14261

Abstract

The concept of Shannon Entropy for probability distributions and associated Maximum Entropy Principle are extended here to the concepts of Relative Divergence of one Grading Function from another and Maximum Relative Divergence Principle for grading functions on direct products of totally ordered chains (chain bundles). Several Operations Research applications are analyzed.

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• Relative Divergence and Maximum Relative Divergence Principle for Grading Functions on Partially Ordered Sets

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