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研究生:張簡守仁
研究生(外文):Shou-Jen Chang-Chien
論文名稱:LR型模糊數的相似測度及其應用
論文名稱(外文):A similarity measure between LR-type fuzzy numbers and its applications
指導教授:楊敏生楊敏生引用關係
指導教授(外文):Miin-Shen Yang
學位類別:碩士
校院名稱:中原大學
系所名稱:數學研究所
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:中文
論文頁數:30
中文關鍵詞:複合屬性模糊查詢相似性測度LR型模糊數虛查詢
外文關鍵詞:FuzzySimilarity measureLR-type fuzzy numbers
相關次數:
  • 被引用被引用:0
  • 點閱點閱:276
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  • 下載下載:17
  • 收藏至我的研究室書目清單書目收藏:0
在本篇論文中,我們針對LR型模糊數提出新的相似性測度方法,並探討新方法具有的性質。此外,在一些例子中我們把提出的方法和其它相似性測度的方法做比較,結果顯示我們提出的方法比較合理。最後,我們將提出的方法應用在資料庫查詢上,藉著相似性測度來產生複合屬性用以彌補資料庫中的缺值,解決虛查詢的問題。這種方法可以被廣泛地使用在資料庫的模糊查詢上。

This paper presents a new similarity measure for LR-type fuzzy numbers. The proposed similarity measure is based on a defined metric between LR-type fuzzy numbers. We then analyze its properties and make numerical comparisons to several similarities. The results show that the proposed similarity measure has better defection for the difference of the degree of similarities between LR-type fuzzy numbers. Finally, we apply it to generate compound attributes for handling null queries to database systems. These applications can be widely need in fuzzy queries to database.

第1章緒論………………………………………………1
第2章新的相似性測度及其性質………………………3
第3章數值比較…………………………………………8
第4章資料庫查詢的應用………………………………12
第5章結論………………………………………………22
參考文獻……………………………………………………23

[1] K.S. Candan, W.S. Li and M.L. Priya, Similarity-based ranking and query processing in multimedia databases, Data & Knowledge Engineering 35 (2000) 259-298.[2] S.J. Chen and S.M. Chen, A new method to measure the similarity between fuzzy numbers, in: Proc 2001 IEEE International Conference on Fuzzy Systems Vol. 2, Melbourne, Australia (2001) 73-7.[3] J. Fan and W. Xie, Some notes on similarity measure and proximity measure, Fuzzy Sets and Systems 101 (1999) 403-412.[4] C.H. Hsien and S.H. Chen, Similarity of generalized fuzzy numbers with graded mean integration representation, in: Proc 8th International Fuzzy Systems Association World Congress, Vol. 2, Taiwan (1999) 551-555.[5] J. Kacprzyk and A. Ziolkowski, Database queries with fuzzy linguistic quantifier, IEEE Trans. on Systems, Man and Cybernetics 16 (1986) 474-479.[6] L. Kaufman and P.J. Rousseeuw, Finding Groups in Data (Wiley, New York, 1990).[7] T. Nomura, T. Odaka, N. Ohki, T. Yokoyama and Y. Matsushita, Generating ambiguous attributes for fuzzy queries, in: Proc. 1992 IEEE International Conference on Fuzzy Systems (1992) 753-706.[8] C.P. Pappis and N.I. Karacapilidis, A comparative assessment of measures of similarity of fuzzy values, Fuzzy Sets and Systems 56 (1993) 171-174.[9] F.E. Petry, Fuzzy Databases: Principle and Applications (Kluwer, Dordrecht, 1996).[10] V. Tahani, A conceptual framework for fuzzy query processing- a step toward very intelligent database system Information Processing and Management 12 (1997) 289-303.[11] I.B. Turksen and Z. Zhong, An approximate analogical reasoning approach based on similarity measures, IEEE Trans. Man Cybernet 18 (1988) 1049-1056.[12] S.L. Wang and Y.J. Tsai, Generating compound attributes from fuzzy data for null queries, Intelligent Automation and Soft Computing 7(2001) 1-8.[13] M.S. Yang and C.H. Ko, On cluster-wise fuzzy regression analysis, IEEE Trans on Systems, Man and Cybernetics-Part B 27 (1997) 1-13.[14] L.A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965) 338-356.[15] H.J. Zimmermann, Fuzzy Set Theory and Its Applications (Kluwer, Dordrecht, 1991).[16] R. Zwick, E. Carlstein and D.V. Budescu, Measueres of similarity among fuzzy concepts: a comparative analysis, International Journal of Approximate Reasoning 1 (1987) 221-242.[17] 國民體能系列 健康體能常模報告書,主辦單位:行政院體育委員會,承辦單位:國立 體育學院,出版者:行政院體育委員會,中華民國八十八年五月。

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