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Automated Inference with Fuzzy Functional Dependencies over Graded Data

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Advances in Computational Intelligence (IWANN 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7903))

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Abstract

Fuzzy set theory has proved to be a successful paradigm to extend the database relational model, augmenting its skill to capture uncertaintly. This capability may be consider in two levels: the data itself and the constraints defined to adjust the database schema to the real system. When constraints are considered, it is necessary to design methods to reason about it and not only a way to express them. This situation leads to a ambitious goal: the design of automated reasoning methods. Highly-expressive data models are not useful without an automated reasoning method. In this work we introduce an automated method to infer with fuzzy functional dependencies over a high level generalization of the relational model and provide its completeness result.

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References

  1. Codd, E.F.: The relational model for database management: version 2. Addison-Wesley Longman Publishing Co., Inc., Boston (1990)

    Google Scholar 

  2. Cordero, P., Enciso, M., Mora, A., de Guzmán, I.P., Rodríguez-Jiménez, J.M.: Specification and inference of fuzzy attributes. In: FOCI, pp. 107–114 (2011)

    Google Scholar 

  3. Abiteboul, S., et al.: The lowell database research self-assessment. Communications of the ACM 48, 111–118 (2005); ACM ID: 1060718

    Google Scholar 

  4. Giardina, C., Sack, I., Sinha, D.: Fuzzy field relational database. Report 8332, Elect. Engng. and Computer Science Dept., Stevens Institute of Technology, Hoboken, NJ (1983)

    Google Scholar 

  5. Baldwin, J.: Knowledge engineering using a fuzzy relational inference language. In: Proc. IFAC Conf. on Fuzzy Information, Knowledge Representation, and Decision Processes, Marseille, France, pp. 15–23 (1983)

    Google Scholar 

  6. Prade, H., Testemale, C.: The connection between lipskios approach to incomplete information data bases and zadeh’s possibility theory. In: Proc. Int. Conf. Systems Meth., pp. 402–408 (1982)

    Google Scholar 

  7. Prade, H., Testemale, C.: Generalizing database realtional algebra for the treatment of incomplete or uncertain information and vague queries. Information Sciences 34, 115–143 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  8. Buckles, B.P., Perty, F.: A fuzzy representation of data for relational databases. Fuzzy Sets and Systems 7, 213–216 (1982)

    Article  MATH  Google Scholar 

  9. Buckles, B.P., Perty, F.: Fuzzy databases and their applications. In: Fuzzy Inform. Decision Process, pp. 361–371 (1982)

    Google Scholar 

  10. Buckles, B.P., Perty, F.: Uncertainty models in information and database systems. J. Inform. Sci. 11, 77–87 (1985)

    Google Scholar 

  11. Yahia, S.B., Ounalli, H., Jaoua, A.: An extension of classical functional dependency: dynamic fuzzy functional dependency. Information Sciences 119, 219–234 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  12. Tyagi, B., Sharfuddin, A., Dutta, R., Tayal, D.K.: A complete axiomatization of fuzzy functional dependencies using fuzzy function. Fuzzy Sets and Systems 151, 363–379 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  13. Bělohlávek, R., Vychodil, V.: Data tables with similarity relations: Functional dependencies, complete rules and non-redundant bases. In: Li Lee, M., Tan, K.-L., Wuwongse, V. (eds.) DASFAA 2006. LNCS, vol. 3882, pp. 644–658. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  14. Sözat, M.I., Yazici, A.: A complete axiomatization for fuzzy functional and multivalued dependencies in fuzzy database relations. Fuzzy Sets and Systems 117, 161–181 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  15. Cordero, P., Enciso, M., Mora, A., de Guzmán, I.P.: A complete logic for fuzzy functional dependencies over domains with similarity relations. In: Cabestany, J., Sandoval, F., Prieto, A., Corchado, J.M. (eds.) IWANN 2009, Part I. LNCS, vol. 5517, pp. 261–269. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  16. Cordero, P., Enciso, M., Mora, A., de Guzmán, I.P., Rodríguez-Jiménez, J.M.: An efficient algorithm for reasoning about fuzzy functional dependencies. In: Cabestany, J., Rojas, I., Joya, G. (eds.) IWANN 2011, Part II. LNCS, vol. 6692, pp. 412–420. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  17. Medina, J., Ojeda-Aciego, M.: Dual multi-adjoint concept lattices. Information Sciences 225, 47–54 (2013)

    Article  MathSciNet  Google Scholar 

  18. Medina, J., Ojeda-Aciego, M., Ruiz-Calviño, J.: Fuzzy logic programming via multilattices. Fuzzy Sets and Systems 158, 674–688 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  19. Raju, K.V.S.V.N., Majumdar, A.K.: Fuzzy functional dependencies and lossless join decomposition of fuzzy relational database systems. ACM Trans. Database Syst. 13, 129–166 (1988)

    Article  Google Scholar 

  20. Belohlavek, R., Vychodil, V.: Relational model of data over domains with similarities: An extension for similarity queries and knowledge extraction. In: IEEE International Conference on Information Reuse and Integration, pp. 207–213 (2006)

    Google Scholar 

  21. Cordero, P., Enciso, M., Mora, A., de Guzmán, I.P.: A complete logic for fuzzy functional dependencies over t-norms. In: XV Spanish Conference on Fuzzy Logic and Technology, pp. 205–210 (2010)

    Google Scholar 

  22. Cordero, P., Enciso, M., Mora, A., de Guzmán, I.P.: Reasoning about fuzzy functional dependencies. In: XIV Spanish Conference on Fuzzy Logic and Technology, pp. 121–126 (2008)

    Google Scholar 

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Rodríguez-Jiménez, J.M., Cordero, P., Enciso, M., Mora, A. (2013). Automated Inference with Fuzzy Functional Dependencies over Graded Data. In: Rojas, I., Joya, G., Cabestany, J. (eds) Advances in Computational Intelligence. IWANN 2013. Lecture Notes in Computer Science, vol 7903. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38682-4_29

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  • DOI: https://doi.org/10.1007/978-3-642-38682-4_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38681-7

  • Online ISBN: 978-3-642-38682-4

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