模糊資料庫之模糊多重值相依性研究

Fuzzy Multi-Valued Dependencies on Fuzzy Relational Databases

卓嫈琴(Ying-Chin Chuo)

指導教授 ： 龐金宗

元智大學/資訊學院/資訊管理學系/碩士(2003年)

摘要

模糊功能相依性（fuzzy functional depenencies）是透過模糊資料(fuzzy data)之間的語意近似關係（semantic proximity）及語意包含程度(semantic inclusion degree)來描述模糊資料間的模糊功能相依（fuzzy functional dependency）關係，而模糊功能相依(fuzzy functional dependency)即是達成模糊關聯表正規化(fuzzy relation normalization)的主要依據。在模糊關聯式資料庫（fuzzy relational databases）中，模糊資料(fuzzy data)的模糊型態可針對不同的模糊型式（fuzzy relation data models）來探討模糊資料(fuzzy data)間的語意關係(semantic relation)。
本論文提出模糊多重值相依性(fuzzy multi-valued dependency)之概念，來探討模糊多重值相依性(fuzzy multi-valued dependency)上的基本性質。此外，本篇研究亦嘗試以系統分析角度，利用正規化(normalization)定理來探討本研究所提出之模糊多重值相依性(fuzzy multi-valued dependency)的正確性及合理性。

關鍵字

語意包含程度 ； 相似關聯 ； 近似關聯 ； 模糊關聯式資料庫 ； 模糊功能相依性 ； 模糊多重值相依性

並列摘要

Fuzzy functional depenencies are the basis of normalization in fuzzy relational databases which stands on measures of semantic proximity relationships. The measures such as semantic included degree of fuzzy relations are used to describe the relationships between fuzzy datas and in fuzzy relational databases, it can be used to research the fuzzy type on accessing data semantic relationships in fuzzy relational databases with respect to various fuzzy models.
This paper proposes a conception of fuzzy multi-valued dependency as to research its basis properties on fuzzy relations. In addition, we supposed an example to prove the conception of fuzzy multi-valued depencendy. We proposed in this paper can be operate in the really system analysis, and also can be used to diagnose the the dependencies betweens relation as to deceide to do the normalization for the fuzzy relations or not.

並列關鍵字

semantic included degree ； similarity relation ； proximity relation ； fuzzy relational database ； fuzzy functional dependency ； fuzzuv multi-valued dependency

參考文獻

[BFH77] C. Beeri, R. Fagin, and J.H. Howard (1977), “A Complete Axiomatization for Function and Multivalued Dependencies,” Proc. ACM SIGMOD-ACM International Conference on Management of Data, pp.47-61.

[BP82A] B.P. Buckles and F.E, Petry (1982), “A fuzzy representation of data for relational databases, ” Fuzzy Sets and Systems 7(3), pp.213-226.

[BP82C] B.P. Buckles and F.E, Petry (1985), “Uncertainty models in information and databases, ” Information Science, 11, pp.77-87.

[Codd70] E. Codd. A relational model for large shared data banks. Communications of the ACM, June 1970, 13(6):377-387.

[DBR98] S.K. De, R. Biswas and A.R. Roy (1998), “On extended fuzzy relational database model with proximity relations, ” Fuzzy Sets and Systems 117, pp.195-201.