Conditional independence and Markov prop­ erties are powerful tools allowing expression of multidimensional probability distributions by means of low-dimensional ones. As mul­ tidimensional possibilistic models have been studied for several years, the demand for analogous tools in possibility theory seems to be quite natural. This paper is intended to be a promotion of de Cooman's measure­ theo...

This paper discusses belief revision under uncertain inputs in the framework of possibility theory. This framework is flexible enough to account for numerical and ordinal revision procedures. It is emphasized that revision under uncertain inputs can be understood in two different ways depending on whether the input is viewed as a constraint to be enforced, or as an unreliable piece of informati...

This paper deals with learning implication relations from some kinds of knowledge (statistical studies, possibilistic information or possible worlds) about truth valuations on a set of propositions. An induction principle is considered in each one of this cases. If only the possible valuations are known, then it is checked when two families of possible valuations produce the same implication. A...

The paper presents a study and an evaluation of a novel unsupervised segmentation technique based aggregation approach and some of possibility theory concepts. Firstly, the MPFCM (Modified Possibilistic Fuzzy C-Means) algorithm is used to extract information from each of MR images modalities. In second step, an obtained data are combined with an operator in order to exploiting the uncertainty a...

In this paper we develop a bimodal perspective on possibility semantics, a framework allowing partiality of states that provides an alternative modeling for classical propositional and modal logics [Humberstone, 1981, Holliday, 2015a]. In particular, we define a full and faithful translation of the basic modal logic K over possibility models into a bimodal logic of partial functions over partia...

Absolute time expressions axe related to the specification of the position of either a time point or an interval on the time axis. The data model we sketch in this paper allows us to represent in a seamless way expressions with indeterminacy ("between 6 and 6:30 p.m., August 10, 1997", "from 5-5:45 to 8-8:15 p.m., January 11, 2000"), with different granularities ("on December 19, 1998", "at 2:3...

Interval-valued fuzzy sets were proposed thirty years ago as a natural extension of fuzzy sets. Many variants of these mathematical objects exist, under various names. One popular variant proposed by Atanassov starts by the specification of membership and non-membership functions. This paper focuses on interpretations of such extensions of fuzzy sets, whereby the two membership functions that d...

The notion of independence is of great importance in any formalism for managing uncertainty, for both theoretical and practical reasons. In this paper we study the concept of independence in the framework of possibility theory. Our approach to defining conditional independence relationships is based on comparing conditional possibility measures. Different comparison criteria are presented, base...

In many ways, biomedical analysis is analogous to possibilistic reasoning. In spite of that, there are hardly any applications of possibility theory in biology or medicine. The aim of this work is to demonstrate the use of possibility theory in an epidemiological study. In the paper, we build the possibility distribution for the controlled bloodstream concentrations of any physiologically activ...

In real problems, there are basically two kind of uncertainty: uncertainty due to the lack of knowledge with respect to well defined objects, but for which there are different hypothetical situations, and uncertainty due to the intrinsic vagueness of the objects. Traditionally, the first type of uncertainty has been studied with the help of Probability Theory while the second one has used Fuzzy...