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15An overview of bipolar qualitative decision rulesIn Giacomo Della Riccia, Didier Dubois & Hans-Joachim Lenz (eds.), Preferences and Similarities, Springer. pp. 47--73. 2008.
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21Inference in possibilistic hypergraphsIn B. Bouchon-Meunier, R. R. Yager & L. A. Zadeh (eds.), Uncertainty in Knowledge Bases, Springer. pp. 249--259. 1991.
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13Accepted beliefs, revision and bipolarity in the possibilistic frameworkIn Franz Huber & Christoph Schmidt-Petri (eds.), Degrees of belief, Springer. pp. 161--184. 2009.
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35Multiple agent possibilistic logicJournal of Applied Non-Classical Logics 23 (4): 299-320. 2013.The paper presents a ‘multiple agent’ logic where formulas are pairs of the form, made of a proposition and a subset of agents. The formula is intended to mean ‘ all agents in believe that is true’. The formal similarity of such formulas with those of possibilistic logic, where propositions are associated with certainty levels, is emphasised. However, the subsets of agents are organised in a Boolean lattice, while certainty levels belong to a totally ordered scale. The semantics of a set of ‘mul…Read more
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69From Blanché’s Hexagonal Organization of Concepts to Formal Concept Analysis and Possibility TheoryLogica Universalis 6 (1-2): 149-169. 2012.The paper first introduces a cube of opposition that associates the traditional square of opposition with the dual square obtained by Piaget’s reciprocation. It is then pointed out that Blanché’s extension of the square-of-opposition structure into an conceptual hexagonal structure always relies on an abstract tripartition. Considering quadripartitions leads to organize the 16 binary connectives into a regular tetrahedron. Lastly, the cube of opposition, once interpreted in modal terms, is shown…Read more
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46Qualitative Heuristics For Balancing the Pros and ConsTheory and Decision 65 (1): 71-95. 2008.Balancing the pros and cons of two options is undoubtedly a very appealing decision procedure, but one that has received scarce scientific attention so far, either formally or empirically. We describe a formal framework for pros and cons decisions, where the arguments under consideration can be of varying importance, but whose importance cannot be precisely quantified. We then define eight heuristics for balancing these pros and cons, and compare the predictions of these to the choices made by 6…Read more
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80Knowledge-driven versus data-driven logicsJournal of Logic, Language and Information 9 (1): 65--89. 2000.The starting point of this work is the gap between two distinct traditions in information engineering: knowledge representation and data - driven modelling. The first tradition emphasizes logic as a tool for representing beliefs held by an agent. The second tradition claims that the main source of knowledge is made of observed data, and generally does not use logic as a modelling tool. However, the emergence of fuzzy logic has blurred the boundaries between these two traditions by putting forwar…Read more
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14A glance at non-standard models and logics of uncertainty and vaguenessIn Anthony Eagle (ed.), Philosophy of Probability, Routledge. pp. 169--222. 1955.
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73A practical approach to revising prioritized knowledge basesStudia Logica 70 (1): 105-130. 2002.This paper investigates simple syntactic methods for revising prioritized belief bases, that are semantically meaningful in the frameworks of possibility theory and of Spohn''s ordinal conditional functions. Here, revising prioritized belief bases amounts to conditioning a distribution function on interpretations. The input information leading to the revision of a knowledge base can be sure or uncertain. Different types of scales for priorities are allowed: finite vs. infinite, numerical vs. ord…Read more
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61Suitable properties for any electronic voting systemArtificial Intelligence and Law 14 (4): 251-260. 2006.Numerous countries are heading toward digital infrastructures. In particular this new technology promises to help support methods for elections. However, one should be careful that such an infrastructure does not hinder the voting and representation issues. On the contrary, it should support those issues and help citizens have a clearer picture of the underlying mechanisms. This paper deals with the limits of voting procedures as they are described in classical collective choice theory and refle…Read more
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48Fuzzy Sets and Systems: Theory and ApplicationsAcademic Press. 1980./ Part INTRODUCTION Fuzziness is not a priori an obvious concept and demands some explanation. "Fuzziness" is what Black (NF) calls "vagueness" when ...