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Possibility theory: Conditional independence
Fuzzy Sets and Systems, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
COLETTI, Giulianella, Vantaggi B.
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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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The Possibilities for Possibility Theory
1982Possibility 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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Independence concepts in possibility theory: Part II
Fuzzy Sets and Systems, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Campos, Luis M., Huete, Juan F.
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Independence in conditional possibility theory
2006This 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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International Journal of General Systems, 1991
A function referred to as discord was recently introduced as a justifiable measure of one type of uncertainty in the Dempster-Shafer theory, uncertainty that results from conflicts among evidential claims. In this paper, we investigate mathematical properties of this function within the domain of possibility theory.
JAMES F. GEER, GEORGE J. KLIR
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A function referred to as discord was recently introduced as a justifiable measure of one type of uncertainty in the Dempster-Shafer theory, uncertainty that results from conflicts among evidential claims. In this paper, we investigate mathematical properties of this function within the domain of possibility theory.
JAMES F. GEER, GEORGE J. KLIR
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From Possibility Theory to Paraconsistency
2015The significance of three-valued logics partly depends on the interpretation of the third truth-value. When it refers to the idea of unknown, we have shown that a number of three-valued logics, especially Kleene, Łukasiewicz, and Nelson, can be encoded in a simple fragment of the modal logic KD, called MEL, containing only modal formulas without ...
CIUCCI, DAVIDE ELIO, Dubois, D.
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2020
Abstract This book explores an eminently human phenomenon: our capacity to engage with the possible, to go beyond what is present, visible, or given in our existence. Possibility studies are an emerging field of research including topics as diverse as creativity, imagination, innovation, anticipation, counterfactual thinking, wondering ...
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Abstract This book explores an eminently human phenomenon: our capacity to engage with the possible, to go beyond what is present, visible, or given in our existence. Possibility studies are an emerging field of research including topics as diverse as creativity, imagination, innovation, anticipation, counterfactual thinking, wondering ...
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Two-dimensional possibility theory
1993 (2nd) International Symposium on Uncertainty Modeling and Analysis, 2002The authors extend the concept of possibility measures to two-dimensional possibility measures by application of the possibility distribution function. The focus is on the proof of validity of this extension. Other results concerning the properties of two-dimensional possibility measures and the relations between one-dimensional possibility measures ...
A. Zeng, J. Sha
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Possibility Theory,Probability Theory,and Fuzzy Set Theory
1991Since L. Zadeh proposed the concept of a fuzzy set in 1965, the relationships between probability theory and fuzzy set theory have been further discussed. Both theories seem to be similar in the sense that both are concerned with some type of uncertainty and both use the [0, 1] interval for their measures as the range of their respective functions (At ...
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