859 theory lies at the crossroads between fuzzy sets, probability, and nonmonotonic
reasoning. Possibility theory is closely related to fuzzy sets if one considers that a possibility …

Generalized Measure Theory examines the relatively new mathematical area of generalized
measure theory. The exposition unfolds systematically, beginning with preliminaries and …

This contribution summarizes the design and analysis of experiments with computerized
simulation models. It focuses on two metamodel (surrogate, emulator) types, namely first …

This chapter provides an overview of possibility theory, emphasizing its historical roots and
its recent developments. Possibility theory lies at the crossroads between fuzzy sets …

This document provides a critical review of different frameworks for uncertainty analysis, in a
risk analysis context: classical probabilistic analysis, imprecise probability (interval analysis) …

In information processing tasks, sets may have a conjunctive or a disjunctive reading. In the
conjunctive reading, a set represents an object of interest and its elements are subparts of …

With respect to the necessity (Nec) measure, suggesting by Dubois and Prade, there is a
dearth of any procedure or formula to deal with equality chance constraints. Therefore, this …

Possibility theory is a computationally efficient framework for reasoning with imprecise
probabilities. Before performing any possibilistic analysis, however, the (imprecise) …

Several books written by prominent authors during the last 40 years have covered different
aspects of random sets rather independently of one another. In most cases, random sets are …

Rough sets are often induced by descriptions of objects based on the precise observations
of an insufficient number of attributes. In this paper, we study generalizations of rough sets to …