51 citations · 125 across the 28 of their papers we have counts for
3 papers · 1 filter
On signature-based expressions of system reliability
Jean-Luc Marichal, Pierre Mathonet, Tamás Waldhauser
The concept of signature was introduced by Samaniego for systems whose components have i.i.d. lifetimes. This concept proved to be useful in the analysis of theoretical behaviors o…
Decompositions of functions based on arity gap
Miguel Couceiro, Erkko Lehtonen, Tamás Waldhauser
We study the arity gap of functions of several variables defined on an arbitrary set A and valued in another set B. The arity gap of such a function is the minimum decrease in the…
The arity gap of order-preserving functions and extensions of pseudo-Boolean functions
Miguel Couceiro, Erkko Lehtonen, Tamás Waldhauser
The aim of this paper is to classify order-preserving functions according to their arity gap. Noteworthy examples of order-preserving functions are so-called aggregation functions.…