模糊加權平均法之模糊結合問題研究

The Study of Fuzzy Connective Problem in Fuzzy Weighted Average

陳一志(Yi-Chih Chen)

指導教授 ： 顧志遠

元智大學/工程學院/工業工程與管理學系/碩士(1998年)

摘要

由於決策環境的不明確，加上決策過程中包含太多不確定的判斷，所以績效評估往往是在不同的決策風險下進行，而相關的評估值，也不像傳統方式以確定的評估值表示，而是以不確定的區間值來取代明確數(crisp number)。雖然模糊加權平均法(FWA)已大大改善了傳統績效評估的缺點，但其假設加權分(weighted rating)間之結合（connective）是呈線性加法(linear addition)的關係，實際上它會依據決策者之決策行為而有所變動。因此本研究將應用群體參與決策，彙集各專家學者意見，避免單一決策者的主觀判斷，增加決策結果的客觀性且利用模糊理論，在準則權重、準則評分及加權分間之結合，三者全為模糊假設，全部建立在模糊數(fuzzy number)上，找出模糊加權通用平均式(FWGM)之p值，來瞭解決策者之決策行為模式，使其更符合現實環境的情況。

關鍵字

績效評估 ； 明確數 ； 模糊加權平均法 ； 加權分 ； 線性加法 ； 模糊理論 ； 模糊數 ； 模糊加權通用平均式

並列摘要

Because of the decision making condition is usually not defined and the decision making process also contains many uncertainties. So the performance evaluation always carries out in different risk condition. It correlates evaluative value is different from the traditional performance evaluation expressed by certain evaluative value. It utilizes uncertain interval value instead of crisp number. Although Fuzzy Weighted Average (FWA) has already improved the defect of the traditional performance evaluation. But FWA assumes the connective between weighted rating is linear addition. Actually the connective between weighted rating will variety bases on decision maker's behavior. This thesis utilizes group decision making and gathers their opinions of experts. We utilize fuzzy theory for avoiding the dictatorship of single decision maker and increase the objectivity of decision making's result. Criteria weighting, criteria rating and the connective between weighted rating are all fuzzy assumption. They all set up at fuzzy number. Then we find out the value p of Fuzzy Weighted Generalized Mean (FWGM) to understand the decision maker's behavior and accord with the realistic situation.

並列關鍵字

performance evaluation ； crisp number ； Fuzzy Weighted Average(FWA) ； weighted rating ； linear addition ； fuzzy theory ； fuzzy number ； Fuzzy Weighted Generalized Mean(FWGM)

參考文獻

[1]Bazaraa, M. S. and Shetty, M. S., Nonlinear Programming-Theory and Algorithm, John Wiley and Sons, N. Y. 1979.

[2]Bellman, R. and Zadth, L. A.,〝Decision-making in A Fuzzy Environment〞, Management Science, Vol.17, pp.114-164, 1970.

[3]Charnes, A. A. and Cooper, W. W.,〝Programming with Linear Fractional Functionals〞, Naval Research Logistics Quarterly, Vol.9, pp.181-186, 1962.

[4]Dong, W. M. and Wong, F. S.,〝Fuzzy Weighted Average and Implementation of The Extension Principle〞, Fuzzy Sets and Systems, Vol.21, pp.183-199, 1987.

[5]Guh, Yuh-Yuan.,〝Fuzzy Weighted Average Linear Programming Approach By Charnes and Cooper's Rule〞,International Journal of Information and Management Sciences, Vol.9, No.3, pp.69-83, 1998.