Interval and Paired Probabilities for Treating Uncertain Events (Special Issue on Multiple-Valued Logic and Its Applications)

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概要

• 論文の詳細を見る

• 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.

• 社団法人電子情報通信学会の論文
• 1999-05-25

著者

• Mukaidono Masao

  Department Of Computer Science Faculty Of Science And Technology Meiji University

• YAMAUCHI Yukari

  Department of Computer Science, Meiji University

• Yamauchi Yukari

  Department Of Computer Science Meiji University

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