Abstract
This chapter shows how to integrate the representation of deductive rules and fuzzy information stored in a relational DBMS to build a module that can obtain new data from data stored in tables. The deductions can be applied to classical (or precise) data, imprecise data or both of them, so it is necessary to provide a mechanism to find the tuples in the database satisfying a rule, i.e. a mechanism to calculate the precision degree of the answer by means of the combination of the precision degrees of every value into an unified measure. Keywords, relational databases extension, fuzzy deduction, inference.
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References
E.F. Codd. A relational model of data for large shared data banks. Communications of the ACM, 1970.
P. Bosc, M. Galibourg, and G. Hamon. Fuzzy querying with sql: Extensions and implementation aspects. Fuzzy Sets and Systems, 28:333–349, 1988.
B. P. Buckles and F. E. Petry. A fuzzy representation of data for relational databases. Fuzzy Sets and Systems, (7):213–226, 1982.
H. Prade and C. Testemale. Generalizing database relational algebra for the treatment of incomplete/uncertain information and vague queries. Information Sciences, (34):113–143, 1984.
M. A. Vila, J. C. Cubero, J. M. Medina, and O. Pons. Logic and fuzzy relational databases: A new language and a new definition. In P. Bosc and J. Kacprzyk, editors, In Fuzzy Sets and Possibility Theory in Databases Management Systems. Physica-Verlag, 1995.
M. Zemankova and A. Kandel. Fuzzy Relational Databases — A Key to Expert Systems. Verlag TUV Rheinland, 1984.
J.M. Medina, O. Pons, and M.A. Vila. Gefred. a generalized model of fuzzy relational databases. Information Sciences, 1994.
J.M. Medina, O. Pons, J.C. Cubero, and M.A. Vila. Freddi: A fuzzy relational deductive database interface. International Journal of Intelligent Systems, 12:597–613, 1997.
L.A. Zadeh. The concept of a linguistic variable and its application to approximate reasoning. Information Sei., 8, 9:(8) 199–2481975,
L.A. Zadeh. The concept of a linguistic variable and its application to approximate reasoning. Information Sei., 8, 9, 301–357. 1975
L.A. Zadeh. The concept of a linguistic variable and its application to approximate reasoning. Information Sei., 8, (9) 43–80, 1975.
J. Grant. Incomplete information in a relational database. Fundamenta Informative, 3:363–378, 1980.
E. F. Codd. Extending the database relational model to capture more meaning. ACM Transactions on Database Systems, 4:262–296, 1979.
E. F. Codd. Missing information (applicable and inapplicable) in relational databases. ACM SIGMOD Record, 15(4), 1986.
E. F. Codd. The twelve rules for relational dbms. Technical Report EFC-6, San Jose, The Relational Institute, 1986.
E. F. Codd. More commentary on missing information in relational databases. ACM SIGMOD Record, 16(1), 1987.
J. Galindo. Tratamiento de la Imprecisión en Bases de Datos Relationales: Extensión del modelo y adaptatión de los SGBD actuales. PhD thesis, Department of Computer Science and Artificial Intelligence, University of Granada, SPAIN, 1999.
O. Pons, J. M. Medina, J. C. Cubero, and A. Vila. Foundations of Intelligent Systems, chapter An Architecture for a Deductive Fuzzy Relational Database. Sringer, 1996.
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Blanco, I., Cubero, J.C., Pons, O., Vila, A. (2000). An Implementation for Fuzzy Deductive Relational Databases. In: Bordogna, G., Pasi, G. (eds) Recent Issues on Fuzzy Databases. Studies in Fuzziness and Soft Computing, vol 53. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1845-1_9
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DOI: https://doi.org/10.1007/978-3-7908-1845-1_9
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