2025/10/05 by Alexander Dukhovny, Dukhovny, Alexander
Computer Science · Mathematics · #Approximation Theory and Sequence Spaces #FOS: Computer and information sciences #Information Theory (cs.IT) #Iterative Methods for Nonlinear Equations #Optimization and Variational Analysis #Primary 94 #Secondary 90
paper · pdf · doi:10.48550/arxiv.2510.04314
openalex publication_date 2025/10/05 · openalex created_date 2025/10/09 · openalex updated_date 2026/07/28
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 Principle under the given prior information (IRP+). Classic Probability Theory formulas are presented as IRP+ solutions of MRDP problems on conjoined posets. RD definition principles are analyzed in relation to the poset structure. MRDP techniques are presented for standard posets: power sets, direct products of chains, etc. "Population group-testing" and "Single server of multiple queues" applications are stated and analyzed as "IRP+ by MRDP" problems on conjoined base posets.