In this paper, a semantic basis for Possibility Theory based on likelihood functions is presented. In some cases, possibilities have been considered as approximations of Shafer plausibility measures. This approximation exchanges exactness of plausibility values for the simplicity of use of possibility values. In this paper, a different direction is followed. Possibility measures are considered ...

This paper presents and experiments a new approach for automatic word sense disambiguation (WSD) applied for French texts. First, we are inspired from possibility theory by taking advantage of a double relevance measure (possibility and necessity) between words and their contexts. Second, we propose, analyze and compare two different training methods: judgment and dictionary based training. Thi...

Object-oriented remote sensing software provides the user with flexibility in the way that remotely sensed data are classified through segmentation routines and userspecified fuzzy rules. This letter explores the classification and uncertainty issues associated with aggregating detailed ‘sub-objects’ to spatially coarser ‘super-objects’ in object-oriented classifications. We show Possibility Th...

Possibilistic logic is a weighted logic introduced and developed since the mid-1980s, in the setting of arti(cial intelligence, with a view to develop a simple and rigorous approach to automated reasoning from uncertain or prioritized incomplete information. Standard possibilistic logic expressions are classical logic formulas associated with weights, interpreted in the framework of possibility...

Possibilistic ATMS are truth maintenance systems oriented towards hypothetical reasoning where both assumptions and justifications can bear an uncertainty weight. Uncertainty is represented in the framework of possibility theory. In possibilistic logic uncertain clauses are handled as such and then in possibilistic ATMS the management of uncertainty is not separated from the other classical cap...

Stalnaker introduced a combined epistemic-doxastic logic that can formally express a strong concept of belief, a concept which captures the ‘epistemic possibility of knowledge’. In this paper we first provide the most general extensional semantics for this concept of ‘strong belief’, which validates the principles of Stalnaker’s epistemic-doxastic logic. We show that this general extensional se...

On the conception of metaphysical possibility that I prefer, a metaphysical possibility is simply a coherent way for the world to be. That is a substantial view. There are conceptions of metaphysical possibility on which not every coherent way for the world to be counts as a metaphysical possibility. To illustrate this point, consider a conception of metaphysical possibility based on a simplifi...

The main purpose of this paper is to present a possibility theory-based generalization of conventional interval propagation to coverage intervals. Indeed, the whole set of coverage intervals for all the probability levels stacked on top of one another constitutes a possibility distribution. Thus by slight modifications of Zadeh’s extension principle, we will prove that it is possible to compute...

In this paper, we extend the domains of affirmation and negation operators, and more important, of triangular (semi)norms and (semi)conorms from the unit interval to bounded partially ordered sets. The fundamental properties of the original operators are proven to be conserved under this extension. This clearly shows that they are essentially based upon order-theoretic notions. Consequently, a ...

Our paper deals with the necessary properties in Fuzzy Measures. Therefore, it belongs to Fuzzy Mathematical Analysis. The Possibility Theory was created by Zadeh in a paper of 1978. As general purpose, to obtain a way to model flexible restrictions constructed from vague pieces of information. If we study the counterparts of expectations (from Probability Theory) in Possibility Theory, we obta...