7 citations · 8 across the 6 of their papers we have counts for
6 papers
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…
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…
Axiomatic Origins of Mathematical Entropy: Grading Ordered Sets
Alexander Dukhovny
Shannon's entropy and other entropy-based concepts are derived from the new, more general concept of relative divergence of one "grading' function on a linearly ordered set from an…
Reliability of systems with dependent components based on lattice polynomial description
Alexander Dukhovny, Jean-Luc Marichal
Reliability of a system is considered where the components' random lifetimes may be dependent. The structure of the system is described by an associated "lattice polynomial" functi…
Reliability analysis of semicoherent systems through their lattice polynomial descriptions
Alexander Dukhovny, Jean-Luc Marichal
A semicoherent system can be described by its structure function or, equivalently, by a lattice polynomial function expressing the system lifetime in terms of the component lifetim…
System reliability and weighted lattice polynomials
Alexander Dukhovny, Jean-Luc Marichal
The lifetime of a system of connected units under some natural assumptions can be represented as a random variable Y defined as a weighted lattice polynomial of random lifetimes of…