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Lossless Join Decomposition for Extended Possibility‐Based Fuzzy Relational Databases

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  • Julie Yu-Chih Liu

Abstract

Functional dependency is the basis of database normalization. Various types of fuzzy functional dependencies have been proposed for fuzzy relational database and applied to the process of database normalization. However, the problem of achieving lossless join decomposition occurs when employing the fuzzy functional dependencies to database normalization in an extended possibility‐based fuzzy data models. To resolve the problem, this study defined fuzzy functional dependency based on a notion of approximate equality for extended possibility‐based fuzzy relational databases. Examples show that the notion is more applicable than other similarity concept to the research related to the extended possibility‐based data model. We provide a decomposition method of using the proposed fuzzy functional dependency for database normalization and prove the lossless join property of the decomposition method.

Suggested Citation

  • Julie Yu-Chih Liu, 2014. "Lossless Join Decomposition for Extended Possibility‐Based Fuzzy Relational Databases," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:842680
    DOI: 10.1155/2014/842680
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    References listed on IDEAS

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    1. Patrick Bosc & Didier Dubois & Henri Prade, 1998. "Fuzzy functional dependencies and redundancy elimination," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 49(3), pages 217-235, March.
    2. Guoqing Chen & Jacques Vandenbulcke & Etienne E. Kerre, 1992. "A general treatment of data redundancy in a fuzzy relational data model," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 43(4), pages 304-311, May.
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