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Probabilities of Fuzzy Events Based on Scalar Cardinalities

Jaume Casasnovas,Francesc Rosselló-2002-01-01-Advances in intelligent and soft computing
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TL;DRAbstract

The standard set of Bell-type inequalities is satisfied by the extension of probabilities to fuzzy events based on the axiomatic definition of scalar cardinality of a fuzzy set, even though the lattice defined by the intersection, union and negation of fuzzy sets in the sense of Zadeh is not a boolean algebra.

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The standard set of Bell-type inequalities is satisfied by the extension of probabilities to fuzzy events based on the axiomatic definition of scalar cardinality of a fuzzy set, even though the lattice defined by the intersection, union and negation of fuzzy sets in the sense of Zadeh is not a boolean algebra.

Keywords

MathematicsNegationFuzzy logicCardinality (data modeling)Discrete mathematicsFuzzy subalgebraIntersection (aeronautics)Algebra over a field

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