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Keywords:
degree of probabilistic dependence; $t$-norm; fuzzy logic
degree of probabilistic dependence; $t$-norm; fuzzy logic
Summary:
A degree of probabilistic dependence is introduced in the classical logic using the Frank family of $t$-norms known from fuzzy logics. In the quantum logic a degree of quantum dependence is added corresponding to the level of noncompatibility. Further, in the case of the fuzzy logic with $P$-states, (resp. $T$-states) the consideration turned out to be fully analogous to (resp. considerably different from) the classical situation.
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