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 …

This survey paper provides an overview of existing methods for building possibility
distributions. We both consider the case of qualitative possibility theory, where the scale …

Stochastic geometry is a relatively new branch of mathematics. Although its predecessors
such as geometric probability date back to the 18th century, the formal concept of a random …

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

We first describe a metric for uncertain probabilities called opinion, and subsequently a set
of logical operators that can be used for logical reasoning with uncertain propositions. This …

A possibility measure can encode a family of probability measures. This fact is the basis for a
transformation of a probability distribution into a possibility distribution that generalises the …

There has been a long-lasting misunderstanding in the literature of artificial intelligence and
uncertainty modeling, regarding the role of fuzzy set theory and many-valued logics. The …

We try to provide a tentative assessment of the role of fuzzy sets in decision analysis. We
discuss membership functions, aggregation operations, linguistic variables, fuzzy intervals …

Numerical possibility distributions can encode special convex families of probability
measures. The connection between possibility theory and probability theory is potentially …

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 …