This textbook provides the tools for a modern post-graduate introductory course on system
reliability theory. It focuses on probabilistic aspects of the theory, including recent results …

The preservation of stochastic orders under the formation of coherent systems is a relevant
topic in the reliability theory. Several properties have been obtained under the assumption of …

Abstract The Multilinear Target-based Preference Functions (MTPFs) support multi-attribute
decision problems characterized by attribute interactions and targets. However, existing …

In the context of coherent systems, we obtain representations for the reliability function of the
residual lifetime at time t under different assumptions. Specifically, four cases are considered …

This paper proposes a new model to study travelers' target-oriented route choice behavior
with perception errors on the tolled traffic network. The prominent characteristics of our …

For a coherent binary system made of binary components, we consider the assumption that
the components' lifetimes are distributed according to a time‐homogeneous, load‐sharing …

Sklar's theorem represents a single multivariate distribution function through its univariate
marginal distributions and a copula. However, it fails in general when it comes to the …

In the reliability literature, several results have been presented to compare binary (two
states) systems. Often, such results are obtained from copula-based extensions of fuzzy …

Aggregations functions, that are obtainable as copula-based extensions of fuzzy measures,
may emerge in several applied fields. We concentrate attention on the probabilistic …

Decisions are usually made based on not only the performances of alternatives but also are
implied by how the performances satisfy the decision makers' aspiration levels. This paper …