Representation of logic formulas by normal forms

Martina Daňková

Kybernetika (2002)

  • Volume: 38, Issue: 6, page [717]-728
  • ISSN: 0023-5954

Abstract

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In this paper, we deal with the disjunctive and conjunctive normal forms in the frame of predicate BL-logic and prove theirs conditional equivalence to appropriate formulas. Our aim is to show approximation ability of special normal forms defined by means of reflexive binary predicate.

How to cite

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Daňková, Martina. "Representation of logic formulas by normal forms." Kybernetika 38.6 (2002): [717]-728. <http://eudml.org/doc/33614>.

@article{Daňková2002,
abstract = {In this paper, we deal with the disjunctive and conjunctive normal forms in the frame of predicate BL-logic and prove theirs conditional equivalence to appropriate formulas. Our aim is to show approximation ability of special normal forms defined by means of reflexive binary predicate.},
author = {Daňková, Martina},
journal = {Kybernetika},
keywords = {BL-logic; extensionality; BL-logic; extensionality},
language = {eng},
number = {6},
pages = {[717]-728},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Representation of logic formulas by normal forms},
url = {http://eudml.org/doc/33614},
volume = {38},
year = {2002},
}

TY - JOUR
AU - Daňková, Martina
TI - Representation of logic formulas by normal forms
JO - Kybernetika
PY - 2002
PB - Institute of Information Theory and Automation AS CR
VL - 38
IS - 6
SP - [717]
EP - 728
AB - In this paper, we deal with the disjunctive and conjunctive normal forms in the frame of predicate BL-logic and prove theirs conditional equivalence to appropriate formulas. Our aim is to show approximation ability of special normal forms defined by means of reflexive binary predicate.
LA - eng
KW - BL-logic; extensionality; BL-logic; extensionality
UR - http://eudml.org/doc/33614
ER -

References

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  1. Cignoli R., d’Ottaviano I. M. L., Mundici D., Algebraic Foundations of Many–valued Reasoning, Kluwer, Dordrecht 2000 Zbl0937.06009MR1786097
  2. Hájek P., Metamathematics of Fuzzy Logic, Kluwer, Dordrecht 1998 Zbl1007.03022MR1900263
  3. Kreinovich V., Nguyen H. T., Sprecher D. A., 10.1142/S0218488596000196, Internat. J. Uncertainty, Fuzzy Knowledge-Based Systems 4 (1996), 331–349 (1996) Zbl1232.03018MR1414352DOI10.1142/S0218488596000196
  4. Daňková M., Extensionality and continuity of fuzzy relations, J. Electrical Engineering 51 (2000), (12/s), 33–35 Zbl0972.03541
  5. Novák V., Perfilieva, I., Močkoř J., Mathematical Principles of Fuzzy Logic, Kluwer, Boston – Dordrecht 1999 Zbl0940.03028
  6. Perfilieva I., Fuzzy logic normal forms for control law representation, In: Fuzzy Algorithms for Control (H. Verbruggen, H.-J. Zimmermann, and R. Babuska, eds.), Kluwer, Boston – Dordrecht 1999, pp. 111–125 (1999) 
  7. Perfilieva I., Normal forms for fuzzy logic functions and their approximation ability, Fuzzy Sets and Systems, submitted Zbl0994.03019
  8. Perfilieva I., Logical approximation, Fuzzy Sets and Systems, submitted Zbl1029.03503

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