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Independence in conditional possibility theory
, 2006 This chapter proposes a notion of independence in the conditional possibility theory, which encompasses the critical situations presented by other independence definitions. The conditional possibility is directly defined as a function on a set (with a suitable algebraic structure) of conditional events, in such a way that π (.
COLETTI, Giulianella, Vantaggi B.
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The Possibilities for Possibility Theory [PDF]
, 1982 Possibility theory is discussed as an extension of probability theory arising from the need to express subjective information quantitatively in linguistic terms, but without the restrictions of probability numbers. The concept of fuzzy sets is introduced as the basis of possibility theory and the broad scope of applications is mentioned.
Halter, A. +3 more
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Possibility theory: Conditional independence
Fuzzy Sets and Systems, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giulianella Coletti, Barbara Vantaggi
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A modal analysis of possibility theory
, 1991 In this paper we study possibility theory from the point of view of modal logic. Our first and main result is that the logic of qualitative possibility is nothing else than Lewis's conditional logic VN. Second, we propose a multi-modal logic able to support possibility theory. Some connexions between these formalisms are stressed.
Luis Fariñas del Cerro, Andreas Herzig
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POSSIBILITY THEORY II: CONDITIONAL POSSIBILITY
International Journal of General Systems, 1997 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 measure- and integral-theoretic treatment of ...
Gert de Cooman
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Using possibility theory in expert systems [PDF]
Fuzzy Sets and Systems, 1992 This paper has two main objectives. The first objective is to give a characterization of a qualitative description of a possibility function. A qualitative description of a possibility function is called a consistent possibilistic state.
Prakash P Shenoy
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Possibility theory and independence
1995We study the links between uncertainty and the notion of dependence. We investigate three possible definitions of dependence that are constructed from possibility measures. One of them has been proposed be Zadeh, and the two others are based on the notion of conditional possibility.
Luis Fariñas del Cerro, Andreas Herzig
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Possibility theory in information fusion
Proceedings of the Third International Conference on Information Fusion, 2000Possibility theory and the body of aggregation operations from fuzzy set theory provide some tools to address the problem of merging information coming from several sources. The approach to fusion is set-theoretic and the choice of conjunctive versus disjunctive fusion modes depends on assumptions on whether all sources are reliable or not. Quantified,
Dubois, Didier, Prade, Henri
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A FOUNDATION FOR A THEORY OF POSSIBILITY
Journal of Cybernetics, 1980A possibility function for a variable A over a set X is defined as a mapping from subsets of X to the unit interval, indicating the possibility that a realization of A is in that subset of X. We discuss the types of possibility functions derived from various types of informational structure about A. We discuss ordinal, fuzzy, and cardinal information.
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