研究生: |
黃耀德 Yao-Te Huang |
---|---|
論文名稱: |
模糊分層模式及其應用 A Fuzzy Stratifying Model and its Applications |
指導教授: |
張少同
Chang, Shao-Tung |
學位類別: |
碩士 Master |
系所名稱: |
數學系 Department of Mathematics |
論文出版年: | 2003 |
畢業學年度: | 91 |
語文別: | 英文 |
論文頁數: | 41 |
中文關鍵詞: | A fuzzy stratifying model |
英文關鍵詞: | fuzzy sets, fuzzy relation, fuzzy partition, CSMS |
論文種類: | 學術論文 |
相關次數: | 點閱:106 下載:17 |
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經由模糊關係的方法建立一個模糊分層模型,它包含一個測量層次的函數。從離散到模糊的觀念亦被探討。
在應用上以CSMS為主要,一羣題目在特殊的型式下才可成一層,學生在高層次通過後一定可以在更低的層次通過。我們在此論文中亦有深入研究。
A fuzzy stratifying model was suggested by the way of fuzzy relation. It contains a score function to measure the hierarchy
sense for giving responses. The extension concept from discrete to fuzzy sense was clearly investigated on the construction of this model.
In applications,the CSMS team
introduced the concept of hierarchy or level of
understandings. A method was sought by which test items could be grouped to form a 'type' and then the groups ordered to form a chain in such a way that success on a harder group automatically entailed success on all easier groups. Items had to satisfy specific criteria
before they were considered to form a group.
In this paper,
we developed a method to describe the association in fuzzy sense. We
also found some fuzzy ranking ways. Finally we added some constraints on it
and solved the problem of hierarchy concepts. Some related properties were proved also.
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