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研究生： 謝育玟
Hsieh, Yuh-Wen
論文名稱： 計量值模糊管制圖之建構方法
On the Construction of Fuzzy Control Charts for Variables
指導教授： 呂金河
Leu, Ching-Ho
潘浙楠
Pan, Jeh-Nan
學位類別： 碩士
Master
系所名稱： 管理學院 - 統計學系
Department of Statistics
論文出版年： 2006
畢業學年度： 94
語文別： 英文
論文頁數： 45
中文關鍵詞： 非對稱型三角模糊數 、計量值模糊管制圖 、對稱型三角模糊數 、作業特性曲線
外文關鍵詞： OC curves, STFN, Fuzzy control charts for variables, ATFN
相關次數： 點閱：72  下載：3 
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    • 　　對於從常態母體中量測的觀察值為不確定的模糊數時，本篇論文提出模糊平均數與全距及模糊平均數與標準差的計量值模糊管制圖的建構過程。而產生這種量測值的模糊現象是用隸屬度函數來表達，其隸屬度函數包含對稱型三角模糊數與非對稱型三角模糊數。進一步，我們比較對稱型與非對稱型三角模糊數的作業特性曲線，並討論它們之間的關係。最後，當製程產生偏移時，比較這兩種不同模糊數對管制圖偵測能力的差別。再舉一個製造汽車引擎的活塞環實例來說明如何使用這兩個計量值模糊管制圖。

    　　Construction of the fuzzy control charts for variables, including fuzzy xbar-R charts and fuzzy xbar-S charts, is proposed in this thesis which the measured observations from the normal population are fuzzy numbers. The vague phenomenon of the measurement value is expressed by the membership functions, including symmetric triangular fuzzy number (STFN) and asymmetric triangular fuzzy number (ATFN). Furthermore, we compare the operating characteristic (OC) curves between STFN and ATFN, and their relationship is discussed. Finally, the detection capability of the different degrees of fuzziness is provided in the shifting process. A practically example for the manufacturing piston rings to demonstrate the use of these fuzzy control charts for variables is given.

    1 Introduction...................................1 1.1 Fuzzy Control Charts.......................1 1.2 Basic Concepts.............................3 1.2.1 alpha-Cuts and Extension Principle...3 1.2.2 Fuzzy Random Variable................4 2 Literature Review..............................5 2.1 The Quality Proportions Approach...........5 2.2 The Probabilistic and Membership Approaches6 2.3 The Numerical Quality Rating Approach......9 2.4 Sensitivity on Raz and Wang and Marcucci Approaches................................10 3 Proposed Methods..............................13 3.1 Fuzzy Control Charts for xbar and R.......13 3.2 Fuzzy Control Charts for xbar and S.......17 3.3 The Operating Characteristic Curves.......25 4 Practical Analysis............................28 4.1 Practical Example.........................28 4.2 Practical Analysis Result.................28 4.2.1 Development of Fuzzy xbar, R and S Control Charts......................28 4.2.2 Continuation of Fuzzy xbar, R and S Control Charts......................40 5 Concluding Remarks............................45

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