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...

This paper proposes a new Information Retrieval Model based on possibility and necessity measures. This model encodes relationship dependencies existing between terms, documents and query by possibilistic networks. The user’s query triggers a propagation process to retrieve necessarily or at least possibly relevant documents.

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...

In a recent paper [“Paretian Welfare Judgements and Bergsonian Social Choice,” Economic Journal, Vol. 109, 1999, pp. 204-220], Suzumura proposed a possible way of relating the two schools of “new” welfare economics. According to his proposal, the logical possibility of the Paretian “new” welfare economics can be reduced to the constrained dual choice-functional recoverability of the Pareto-comp...

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...

Many physical theories accurately predict which events are possible and which are not, or – in situations where probabilistic (e.g., quantum) effects are important – predict the probabilities of different possible outcomes. At first glance, it may seem that this probabilistic information is all we need. We show, however, that to adequately describe physicists’ reasoning, it is important to also...

We consider the problem of manipulation of elections using positional voting rules under Impartial Culture voter behaviour. We consider both the logical possibility of coalitional manipulation, and the number of voters that must be recruited to form a manipulating coalition. It is shown that the manipulation problem may be well approximated by a very simple linear program in two variables. This...

Individuals working in groups often egocentrically believe they have contributed more of the total work than is logically possible. Actively considering others’ contributions effectively reduces these egocentric assessments, but this research suggests that undoing egocentric biases in groups may have some unexpected costs. Four experiments demonstrate that members who contributed much to the gr...