3 papers
cs.IT2025
Relative Divergence and Maximum Relative Divergence Principle for Grading Functions on Partially Ordered Sets
Alexander Dukhovny
Relative Divergence (RD) and Maximum Relative Divergence Principle (MRDP) for grading (order-comonotonic) functions (GF) on posets are used as an expression of Insufficient Reason…
math.OC2023
Maximum Relative Divergence Principle for Grading Functions on Direct Products of Chains
Alexander Dukhovny
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 Functi…
math.PR2022
Maximum Relative Divergence Principle for Grading Functions on Power Sets
Alexander Dukhovny
The concept of Relative Divergence of one Grading Function from another is extended from totally ordered chains to power sets of finite event spaces. Shannon Entropy concept is ext…