论文信息 - Possibility Theory and Independence

Possibility Theory and Independence

We 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. We show that the latter have enough expressive power to support the whole possibility theory and that complete axiomatizations can be given.

Luis Fariñas del Cerro | Andreas Herzig

[1] Luis Fariñas del Cerro,et al. An Ordinal View of Independence with Application to Plausible Reasoning , 1994, UAI.

[2] A. N. Kolmogorov,et al. Foundations of the theory of probability , 1960 .

[3] Michael Clarke,et al. Symbolic and Quantitative Approaches to Reasoning and Uncertainty , 1991, Lecture Notes in Computer Science.

[4] D. Dubois,et al. Belief Revision: Belief change and possibility theory , 1992 .

[5] C. Howson. Theories of Probability , 1995 .

[6] Judea Pearl,et al. Probabilistic reasoning in intelligent systems - networks of plausible inference , 1991, Morgan Kaufmann series in representation and reasoning.

[7] Luis Fariñas del Cerro,et al. Interference logic = conditional logic + frame axiom , 1993, Int. J. Intell. Syst..

[8] Judea Pearl,et al. Chapter 2 – BAYESIAN INFERENCE , 1988 .

[9] Didier Dubois,et al. Possibility Theory - An Approach to Computerized Processing of Uncertainty , 1988 .

[10] D Dubois,et al. Belief structures, possibility theory and decomposable confidence measures on finite sets , 1986 .

[11] E. Hisdal. Conditional possibilities independence and noninteraction , 1978 .

[12] D. Scott. Measurement structures and linear inequalities , 1964 .

[13] Krister Segerberg,et al. Qualitative Probability in a Modal Setting , 1971 .

[14] Peter Gärdenfors. On the logic of relevance , 1978 .