I I I I We introduce the operation of possibility qualification and show how I this modal-like operator can be used to represent "typical" or default knowledge in a theory of nonmonotonic reasoning. We investigate the representational power of this ·approach I by· looking at a number of prototypical problems from the nonmonotoni� reasoning literature. particular we look at the so called Yale sh...

The introduction of the notion of independence in possibility theory is a problem of long-standing interest. Many of the measure-theoretic definitions that have up to now been given in the literature face some difficulties as far as interpretation is concerned. Also, there are inconsistencies between the definition of independence of measurable sets and possibilistic variables. After a discussi...

P(Z) logic offers a new way to reason about vagueness (ie fuzziness), that treats fuzziness as degrees, distinct from probabilities. One then applies probability distributions over fuzziness. This approach is different from both classical fuzzy logic [26] and possibility theory [1]. P(Z) logic is specially designed for common-sense reasoning.

In order to closely adapt what they produce to what will be sold, it is mandatory for nowadays companies to make early decisions on the base of an uncertain production planning. We suggest a way to explicitly model the uncertainty and imprecision of the demand using possibility theory, all along the MRPII steps: Material Requirement Planning, Load Planning, Scheduling. Though propagation of thi...

The problem of measuring scientific impact is considered. A class of so-called p-sphere indices, which generalize the well known Hirsch index, is used to construct a possibility measure of scientific impact. This measure might be treated as a starting point for prediction of future index values or for dealing with right-censored bibliometric data. Keywords— Hirsch’s h-index, p-sphere indices, s...

The aim of this paper is to present a fusion approach of multi-granularity linguistic information for managing information assessed in di erent linguistic term sets (multi-granularity linguistic term sets) together with its application in a decision making problem with multiple information sources, assuming that the linguistic performance values given to the alternatives by the di erent sources...

The main goal of this paper is to describe a new semantic for conditional independence in terms of no double counting of uncertain evidence. For ease of exposition, we use probability calculus to state all results. But the results generalize easily to any calculus that fits in the framework of valuation-based systems. Thus, the results described in this paper apply also, for example, to Dempste...

Possibilistic networks offer a qualitative approach for modeling epistemic uncertainty. Their practical implementation requires the specification of conditional possibility tables, as in the case of Bayesian networks for probabilities. This paper presents the possibilistic counterparts of the noisy probabilistic connectives (and, or, max, min, . . . ). Their interest is illustrated on an exampl...