We consider lower probabilities on finite possibility spaces as models for the uncertainty about the state. These generalizations of classical probabilities can have some interesting properties; for example: k-monotonicity, avoiding sure loss, coherence, permutation invariance. The sets formed by all the lower probabilities satisfying zero or more of these properties are convex. We show how the...

In this paper we analyze two recent axiomatic approaches proposed by Dubois et al. [5] and by Giang and Shenoy [10] for qualita­ tive decision making where uncertainty is de­ scribed by possibility theory. Both axiom­ tizations are inspired by von Neumann and Morgenstern's system of axioms for the case of probability theory. We show that our ap­ proach naturally unifies two axiomatic sys­ tems ...

Possibilistic DL-Lite is an extension of the DL-Lite framework to deal with uncertain pieces of information. In this paper, we deal with inconsistency in DL-Lite in case where the assertions are uncertain and encoded in a possibility theory framework. We investigate three inconsistency-tolerant reasoning methods for possibilistic DL-Lite knowledge bases which are based on the selection of one c...

A geometrical approach to validation of fuzzy temporal relations between fuzzy time primitives, based on the possibility and necessity measures are proposed. Fuzzy temporal relations between fuzzy time points and fuzzy time point and fuzzy time interval are considered. The same approach can be used for evaluation of relation between two fuzzy intervals. An example of validation of temporal rela...

The validity of the information stored in a database may be guaranteed or not, according to the family of items which is considered. The information available in the database may be complete or not, as well, for a given type of items. The paper discusses how these forms of uncertainty can be represented in the framework of possibility theory, and how queries to a database where information is n...

Many works in the past showed that human judgments of uncertainty do not conform very well to Probability Theory. The present paper reports four experiments that were conducted in order to evaluate if human judgments of uncertainty conform better to Possibility Theory. At first, two experiments investigate the descriptive properties of some basic possibilistic measures. Then a new measurement a...

Saint Anselm of Canterbury offered several arguments for the existence of God. We examine the famous ontological argument in Proslogium ii. Many recent authors have interpreted this argument as a modal one.1 But we believe that Jonathan Barnes has argued persuasively that Anselm’s argument is not modal.2 Even if one were to construe the word ‘can’ in the definite description ‘that than which no...

This paper presents an argument to the effect that the relation of exact similarity with respect to properties that are supervenient cannot be transitive. The point of departure is that, while a difference in respect of supervenient properties entails a difference in respect of subvenient properties, exact similiarity in respect of supervenient properties is compatible with differences in respe...

Levelt (2002) challenges the theoretical motivation and the interpretation of the data reported in Alario, Costa, and Caramazza’s (2002) study on utterance planning during speech production. In this response we argue against these criticisms. First, we show that the hypotheses entertained in our research about the scope of phonological encoding are well motivated in the context of current theor...

It is shown that the notion of conditional possibility can be consistently introduced in possibility theory, in very much the same way as conditional expectations and probabilities are defined in the measureand integral-theoretic treatment of probability theory. I write down possibilistic integral equations which are formal counterparts of the integral equations used to define conditional expec...