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Kybernetika 34(1):121-134, 1998.

Considering Uncertainty and Dependence in Boolean, Quantum and Fuzzy Logics.

Mirko Navara and Pavel Pták


Abstract:

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.


AMS: 03G;


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BIB TeX

@article{kyb:1998:1:121-134,

author = {Navara, Mirko and Pt\'{a}k, Pavel},

title = {Considering Uncertainty and Dependence in Boolean, Quantum and Fuzzy Logics.},

journal = {Kybernetika},

volume = {34},

year = {1998},

number = {1},

pages = {121-134}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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