Geodesic
Considering uncertainty and dependence in Boolean, quantum and fuzzy logics
Kybernetika, Tome 34 (1998) no. 1, p. [121].

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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.
Classification : 03B48, 03B52, 03G12
Keywords: degree of probabilistic dependence; $t$-norm; fuzzy logic 
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     author = {Navara, Mirko and Pt\'ak, Pavel},
     title = {Considering uncertainty and dependence in {Boolean,} quantum and fuzzy logics},
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Navara, Mirko; Pták, Pavel. Considering uncertainty and dependence in Boolean, quantum and fuzzy logics. Kybernetika, Tome 34 (1998) no. 1, p. [121]. http://geodesic.mathdoc.fr/item/KYB_1998__34_1_a10/