Interval and Paired Probabilities for Treating Uncertain Events
نویسندگان
چکیده
When the degree of intersections A∩B of events A,B is unknown arises a problem: how to evaluate the probability P(A ∩ B) and P(A ∩B) from P(A) and P(B). To treat related problems two models of valuation: interval and paired probabilities are proposed. It is shown that the valuation corresponding to the set operations ∩ (intersection), ∪ (union) and ∼ (complement) can be described by the truth functional ∧ (AND), ∨ (OR) and ∼ (negation) operations in both models. The probabilistic AND and OR operations are represented by combinations of Kleene and ( Lukasiewicz operations, and satisfy the axioms of MV (multiple-valued logic)-Algebra except the complementary laws. key words: interval probability
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