Considering uncertainty and dependence in Boolean, quantum and fuzzy logics

Mirko Navara; Pavel Pták

Kybernetika (1998)

  • Volume: 34, Issue: 1, page [121]-134
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Navara, Mirko, and Pták, Pavel. "Considering uncertainty and dependence in Boolean, quantum and fuzzy logics." Kybernetika 34.1 (1998): [121]-134. <http://eudml.org/doc/33339>.

@article{Navara1998,
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.},
author = {Navara, Mirko, Pták, Pavel},
journal = {Kybernetika},
keywords = {degree of probabilistic dependence; t-norm; fuzzy logic},
language = {eng},
number = {1},
pages = {[121]-134},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Considering uncertainty and dependence in Boolean, quantum and fuzzy logics},
url = {http://eudml.org/doc/33339},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Navara, Mirko
AU - Pták, Pavel
TI - Considering uncertainty and dependence in Boolean, quantum and fuzzy logics
JO - Kybernetika
PY - 1998
PB - Institute of Information Theory and Automation AS CR
VL - 34
IS - 1
SP - [121]
EP - 134
AB - 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.
LA - eng
KW - degree of probabilistic dependence; t-norm; fuzzy logic
UR - http://eudml.org/doc/33339
ER -

References

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