In possibility theory, the degree of inconsistency is commonly used to measure the level of conflict in information from multiple sources after merging, especially conjunctive merging. However, as shown in [HL05,Liu06b], this measure alone is not enough when pairs of uncertain information have the same degree of inconsistency, since it is not possible to tell which pair contains information tha...

The problem of assessing the value of a can­ didate is viewed here as a multiple combi­ nation problem. On the one hand a candi­ date can be evaluated according to different criteria, and on the other hand several ex­ perts are supposed to assess the value of can­ didates according to each criterion. Criteria are not equally important, experts are not equally competent or reliable. Moreover lev...

In this paper, we study the conjunction of possibility measures when they are interpreted as coherent upper probabilities, that is, as upper bounds for some set of probability measures. We identify conditions under which the minimum of two possibility measures remains a possibility measure. We provide graphical way to check these conditions, by means of a zero-sum game formulation of the proble...

We explore the relationship between possibility measures (supremum preserving normed measures) and p-boxes (pairs of cumulative distribution functions) on totally preordered spaces, extending earlier work in this direction by De Cooman and Aeyels, among others. We start by demonstrating that only those p-boxes who have 0–1-valued lower or upper cumulative distribution function can be possibilit...

We reformulate Mesiar’s hypothesis [Possibility measures, integration and fuzzy possibility measures, Fuzzy Sets and Systems 92 (1997) 191196], which as such was shown to be untrue by Murofushi [Two-valued possibility measures induced by σ-finite σ-additive measures, Fuzzy Sets and Systems 126 (2002) 265268]. We prove that a two-valued σ-maxitive measure can be induced by a σ-additive measure u...

The purpose of this paper is to study possibility and probability measures in continuous universes, taking different line to the one proposed and dealt with by other authors. We study the coherence between the probability measure and the possibility measure determined by a function that is both a possibility density and distribution function. For this purpose, we first examine functions that sa...

this paper assumes the cell formation problem as a distributed decision network. it proposes an approach based on application and extension of information theory concepts, in order to analyze informational complexity in an agent- based system, due to interdependence between agents. based on this approach, new quantitative concepts and definitions are proposed in order to measure the amount of t...

In this paper a new criterion is introduced for the discrete covering problem. In this criterion the a priori information represented by a possibility measure and a misbelief distribution on alternatives are condensed by aggregation instruments. Using the Dempster-Shafer belief structure and representations of a possibility measure through associated probabilities, a new criterion for discrete ...

in a broader context of arguing against the view that conceivability provides epistemic access to the metaphysical modalities. His goal is “to identify the sources and forms of our knowledge of metaphysical possibility and metaphysical necessity” (205). 1 The account proceeds in two stages. First, he contends that “metaphysical necessity and metaphysical possibility can be reductively explained...