On possibility and probability measures in finite Boolean algebras
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In this paper, we study what possibility and necessity measures are like in a finite Boolean algebra, establishing a classification of possibility measures in this type of algebras. The relation between probability and possibility measures is studied. Some conditions for obtaining probabilities that are coherent with a possibility are given. Lastly, Euclidean distance is used for finding probabilities that are close to a given possibility. Also the closest probability is identified and turns out to be coherent.
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