# Formalization of Provenes fuzzy functional dependency in fuzzy databases.

• Volume: 11, Issue: 1, page 31-44
• ISSN: 1134-5632

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## Abstract

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In this paper we establish equivalence between a theory of fuzzy functional dependences and a fragment of fuzzy logic. We give a way to interpret fuzzy functional dependences as formulas in fuzzy logic. This goal is realized in a few steps. Truth assignment of attributes is defined in terms of closeness between two tuples in a fuzzy relation. A corresponding fuzzy formula is associated to a fuzzy functional dependence. It is proved that if a relation satisfies a fuzzy functional dependence, then the corresponding fuzzy formula is satisfied and viceverse. Finally, equivalence of a fuzzy formulas and a set fuzzy functional dependence is demonstrated. Thus we are in position to apply the rule of resolution from fuzzy logic, while calculating fuzzy functiorial dependences.

## How to cite

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Dukic, Nedzad, and Avdagic, Zikrija. "Formalization of Provenes fuzzy functional dependency in fuzzy databases.." Mathware and Soft Computing 11.1 (2004): 31-44. <http://eudml.org/doc/39258>.

@article{Dukic2004,
abstract = {In this paper we establish equivalence between a theory of fuzzy functional dependences and a fragment of fuzzy logic. We give a way to interpret fuzzy functional dependences as formulas in fuzzy logic. This goal is realized in a few steps. Truth assignment of attributes is defined in terms of closeness between two tuples in a fuzzy relation. A corresponding fuzzy formula is associated to a fuzzy functional dependence. It is proved that if a relation satisfies a fuzzy functional dependence, then the corresponding fuzzy formula is satisfied and viceverse. Finally, equivalence of a fuzzy formulas and a set fuzzy functional dependence is demonstrated. Thus we are in position to apply the rule of resolution from fuzzy logic, while calculating fuzzy functiorial dependences.},
author = {Dukic, Nedzad, Avdagic, Zikrija},
journal = {Mathware and Soft Computing},
keywords = {Lógica difusa; Bases de datos relacionales; fuzzy functional dependency; fuzzy logic; resolution},
language = {eng},
number = {1},
pages = {31-44},
title = {Formalization of Provenes fuzzy functional dependency in fuzzy databases.},
url = {http://eudml.org/doc/39258},
volume = {11},
year = {2004},
}

TY - JOUR
AU - Avdagic, Zikrija
TI - Formalization of Provenes fuzzy functional dependency in fuzzy databases.
JO - Mathware and Soft Computing
PY - 2004
VL - 11
IS - 1
SP - 31
EP - 44
AB - In this paper we establish equivalence between a theory of fuzzy functional dependences and a fragment of fuzzy logic. We give a way to interpret fuzzy functional dependences as formulas in fuzzy logic. This goal is realized in a few steps. Truth assignment of attributes is defined in terms of closeness between two tuples in a fuzzy relation. A corresponding fuzzy formula is associated to a fuzzy functional dependence. It is proved that if a relation satisfies a fuzzy functional dependence, then the corresponding fuzzy formula is satisfied and viceverse. Finally, equivalence of a fuzzy formulas and a set fuzzy functional dependence is demonstrated. Thus we are in position to apply the rule of resolution from fuzzy logic, while calculating fuzzy functiorial dependences.
LA - eng
KW - Lógica difusa; Bases de datos relacionales; fuzzy functional dependency; fuzzy logic; resolution
UR - http://eudml.org/doc/39258
ER -

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