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題名:理想解類似度偏好順序評估方法之及延伸其應用
書刊名:中國統計學報
作者:林志娟劉家佑張慶暉林秋華
作者(外文):Lin, Jyh-jiuanLiu, Chia-yuChang, Ching-huiLin, Chiou-hua
出版日期:2005
卷期:43:3
頁次:頁313-336
主題關鍵詞:多準則決策理想狀態-反面理想狀態客觀權重學生素質MCDMIdeal and anti-ideal solutionObjective weight
原始連結:連回原系統網址new window
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  • 被引用次數被引用次數:期刊(2) 博士論文(0) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:2
  • 共同引用共同引用:0
  • 點閱點閱:30
如何同時綜合不同準則且有效地評估方案及排序呢?本研究主要是從Hwang和Yoon (1981) 在多準則決策 (Multiple Criteria Decision Making, MCDM) 的"理想狀態-反面理想狀態" (Ideal and Anti-ideal) 概念出發,以及根據Deng, Yeh和Willis (2000) 文中所提出的理想解類似度偏好順序評估調整法 (Modified Technique for Order Preference by Similarity to Ideal Solution Method) 加以延伸,並利用各方案在不同準則下之評分為資料,以準則相對重要性與理想解偏好順序之距離兩種成份構造出加權距離函數,作為多準則決策之評估依據。其中距離的定義除了歐幾里德距離外還加了Sinha (2003) 建議的城市街道距離之考量,對於客觀加權距離的選擇,本研究探討等權重距離法 (Equal Weight Distance Method)、熵值權重距離法 (Entropy-Based Distance Method)、變異係數權重距離法 (C.V.-Based Distance Method) 及平均綜合指標法等四種不同方法的適用性。並將之應用在某大學入學成績各科系平均分數表現的順序評估上;除了計算各系學生入學成績至理想狀態、反面理想狀態的加權距離,並透過其所形成的綜合指標將各系加以排序,以衡量各系學生的素質。據以提供學校一個簡單、客觀的學生素質評估的總指標。
Simultaneous consideration of multiple attributes and reaching an “optimal” solution is not an easy task. How to evaluate students' academic performance is also an important issue. The scope and purpose of this research is to propose a method to determine reliable objective weights for the performance evaluation and ranking of stu­dents according to the entrance exam scores which are supposed to evaluate different capabilities in various subjects. The approach used in the research basically adopt the “ideal and anti-ideal solution” concept from Hwang and Yoon (1981) in MCDM (Multiple Criteria Decision Making) and extend the method so called TOPSIS (Technique for Order Preference by Similarity to Ideal Solution Method). The objective weights choices associated in this research are mean, entropy-based and c.v.-based. In addition to Euclidian weighted distance, city block weighted distance as suggested by Sinha (2003) will be introduced into the indices calculation model. A case study about the entrance exams scores of the University will be conducted using the above-mentioned method.
期刊論文
1.Barron, F. H.、Barrett, B. E.(1996)。Decision quality using ranked attribute weights。Management Science,42(11),1515-1523。  new window
2.Hobbs, B. F.(1978)。A comparison of weighting methods in power plant citing。Decision Sciences,11,725-737。  new window
3.Diakoulaki, D.、Papayanakis, L.、Mavrotas, G.(1995)。Determining objective weights in multiple criteria problems: the CRITIC method。Computers & Operations Research,22,763-770。  new window
4.Coombs, C. H.(1958)。On the use of inconsistency of preferences in psychological measurement。Journal of Experimental Psychology,55,106-118。  new window
5.丁在尙(1994)。高師學生素質綜合評價模型及應用。安徽師大學報(自然科學版),17(4),88-90。  延伸查詢new window
6.孔德芳(1994)。Fuzzy數學在學生素質綜合測評中的應用。濟寧師院學報,3,17-21。  延伸查詢new window
7.馬曉燕(2003)。模糊綜合評判在學生素質培養制約系統評價中的應用。大學數學,19(1),40-45。  延伸查詢new window
8.林穎、姚夏倩(2000)。以加涅的學生素質觀來素質敎育。心理科學,23(2),192-196。  延伸查詢new window
9.Schoemaker, P. J. H.、Waid, C. Carter(1982)。An experimental comparison of different approaches to determining weights in additive utility models。Management Science,28(2),182-196。  new window
10.Charnes, Abraham、Cooper, William W.、Rhodes, Edwardo(1978)。Measuring the efficiency of decision making units。European Journal of Operational Research,2(6),429-444。  new window
11.Deng, Hepu、Yeh, Chung-Hsing、Willis, Robert J.(2000)。Inter-company comparison using modified TOPSIS with objective weights。Computers & Operations Research,27(10),963-973。  new window
研究報告
1.Sinha, B. K.(2003)。Combining Environmental Indicators。Department of Mathematics and Statistics University of Maryland Baltimore County。  new window
學位論文
1.李宏隆(2000)。大學申請入學之模糊多準則決策模式(碩士論文)。長榮管理學院。  延伸查詢new window
2.莊豐光(2003)。台灣生物科技類型公司績效指標擷取與排名預測之研究--灰色系統理論之應用(碩士論文)。國防管理學院。  延伸查詢new window
圖書
1.Saaty, T. L.(1995)。Decision making for leaders。RWS Publications。  new window
2.Hwang, C. L.、Yoon, K. S.(1981)。Multiple attribute decision making: method and application. A State-of-the-Art Survey。Berlin:New York:Springer-Verlag。  new window
3.Shannon, C. E.、Weaver, W.(1947)。The Mathematical Theory of Communication。Urbana, IL:The University of Illinois Press。  new window
4.Zeleny, M.(1982)。Multiple Criteria Decision Making。New York:North-Holland。  new window
5.Chen, S. J. J.、Hwang, C. L.(1992)。Fuzzy multiple attribute decision making: Methods and applications。Springer-Verlag。  new window
6.Gagne, Robert M.、Briggs, Leslie J.、Wager, Walter W.(1992)。Principles of Instructional Design。Fort Worth, TX:Harcourt Brace Jovanovich College Publishers。  new window
7.Yoon, K. Paul、Hwang, Ching-Lai(1995)。Multiple Attribute Decision Making: An Introduction。Sage。  new window
 
 
 
 
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