Possibility Theory and Its Applications: Where Do We Stand?

摘要: This chapter provides an overview of possibility theory, emphasizing its historical roots and recent developments. Possibility theory lies at the crossroads between fuzzy sets, probability, nonmonotonic reasoning. can be cast either in ordinal or a numerical setting. Qualitative is closely related to belief revision commonsense reasoning with exception-tainted knowledge artificial intelligence. Possibilistic logic rich representation setting, which enables handling lower bounds measures, while remaining close classical logic. has been axiomatically justified decision-theoretic framework style Savage, thus providing foundation for qualitative decision theory. Quantitative simplest statistical imprecise probabilities. As such, it connections random set confidence intervals, provide tool uncertainty propagation limited subjective information.