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題名:非加法性之多屬性決策過程與模式建構
作者:張哲維 引用關係
作者(外文):Che-Wei Chang
校院名稱:銘傳大學
系所名稱:管理科學研究所博士班
指導教授:林進財
學位類別:博士
出版日期:2005
主題關鍵詞:非加法性熵測度λ-模糊測度Choquet 積分非加法性多屬性Non-additive entropyλ-fuzzy measureChoquet integralsmultiple
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在現實的多屬性評估方案評估問題中,決策者為了提昇決策結果之準
確性,將會不斷地增加評估方案之評估屬性。然而,一旦增加決策屬性,
難免會使得決策屬性間呈現不獨立之狀態,而不符合加法性決策之假設,
導致決策複雜度提升。為解決非加法性決策問題,本文建構以客觀決策之
熵測度方法,運用Jaynes (1983)不等式及Thomas and Thomas (1991)相對熵
測度不等式來證明log 加法不等式,這個新的不等式是用來求算評估方案屬
性所隱含之訊息量,篩選對決策有利之決策屬性,做為評估方案之決策屬
性。再運用熵測度之連鎖法則,來推廣Tsallis (1988)、Klir and Wierman (1998)
及Plastino and Plastino (1999)兩個系統相加時之聯合熵測度,然後再結合λ
-模糊熵測度,來構建決策屬性間為不獨立狀態下的非加法性之多屬性熵測
度。最後,再以Choquet 積分求算出多屬性評估方案之Choquet 積分值。為
驗證本文建構非加法性之多屬性決策過程與模式之可行性及有效性,本文
以晶圓切片個案製程為例,此製程複雜且同時引發隱含六個決策屬性,來
同時監控切片製程品質。透過本文所建構之決策流程,篩選出六個決策屬
性中之關鍵決策屬性,來做製程品質管控,及篩選七台切片機器中最差之
切片機器;但此機器仍在堪用狀態,若施以加嚴監控,可防止此一機器生
產出過多之不良品。最後,在生產線上連續檢測100 片晶片,來做模式之
相對性之對照及驗證分析。
Multiple attribute decision making (MADM) is a complex decision
problem in real life. Decision makers will increase the assessment attributes
for raising decision scheme accurately, however, the assessment attributes
involve dependent property in MADM. Therefore, the dependent attributes do
not follow additive assumption and cause complex decision problem.
Therefore, this research applyies Jaynes (1983) inequality and Thomas and
Thomas (1991) relative entropy inequality to screen the critical decision
arrtibutes. Moreover, we apply the entropy chain rule to extend Tsallis (1988)
and Klir and Wierman (1998) of two systems union entropy to develop a
non-additive entropy methodology and combine λ-fuzzy measure to solve the
relative weights of alternatives due to the dependent attribute. Then the
Choquet integral is applied to compete the performance of decision scheme.
Silicon wafer slicing, a case, is a complex manufacturing process and involves
six synchronously occurring multiple quality characteristics that require closely
monitoring and control. Namely, slicing process is suitable for implementing
the non-additive decision making model. Non-additive entropy method in this
research, has been applied to screen the critical decision attribute from the
synchronously occurred multiple decision attributes. Furthemore, Choquet
integral has also been applied to present a defective-condition from seven wire
saw machines which produce unconfirmed product which is screened by
non-additive entropy method. Finally, we continuously collect 100 data to
demonstrate the feasibility and effectiveness of the proposed method.
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