Geodesic
Considering uncertainty and dependence in Boolean, quantum and fuzzy logics
Kybernetika, Tome 34 (1998) no. 1, pp. 121-134 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1998_34_1_a10/}
}
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Navara, Mirko; Pták, Pavel. Considering uncertainty and dependence in Boolean, quantum and fuzzy logics. Kybernetika, Tome 34 (1998) no. 1, pp. 121-134. http://geodesic.mathdoc.fr/item/KYB_1998_34_1_a10/

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