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題名:模糊數之運算,排序,及推估理論及其應用之研究
作者:陳山火
作者(外文):Chen, San-Huo
校院名稱:淡江大學
系所名稱:管理科學研究所
指導教授:黃俊雄
學位類別:博士
出版日期:1984
主題關鍵詞:模糊數推估理論
原始連結:連回原系統網址new window
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本論文主要目的,在於處理模糊環境下之問題,尤其是設法尋出優良決策準則及有價值且有意義的資訊,藉以提供管理決策者,協助其分析並選擇最佳策略
本文首先說明隨機性及模糊性之異同;次將模糊數擴展至其歸屬函數之最大歸屬度W≦1之一般化模糊數,以便更能適用於一般情況,並以擴展算則(Extension Principle)求其相關之性質及公式。再以新創最大集合及最小集合(Maximizing Set and Minimizing Set)之觀念,以改良詹恩(Jain)最大集合法,作為模糊數之排序準則。然後導出函數算則(Function Principle)作為模糊數運算新原則,以克服擴展算則之一些不便,其優點為可保持歸屬函數型態不變,並使運算簡捷。文中利用函數算則,因模糊線性函數之模糊線性組合評估法,綜合處理由模糊問卷所取得之有關秘書必備之七大類特質及各大類所含數小項內涵所推估之模糊數,藉以分別評估十位秘書應徵者適合擔任秘書工作之能力;然後以最大集合及最小集合理念,將綜合評估所得之十個模糊數加以排序,藉以作為錄用之參考。
文中所設計之模糊問卷及模糊線性函數之模糊線性組合評估模式,亦可應用於職員工工作績效之評估,或雇用人員時用以作為應徵者適用性之評估。
The main purpose of this dissertation is to deal with the problems under the fuzzy environment, especially, to try to find a good decision rule and valuable information to help the management to select an optimal strategy.
First this dissertation is going to explain the dif- erence between randomness and fuzziness. Second, we xtend the fuzzy numbers to generalized fuzzy numbers in rder to suit the general situations in life. By the way,the properties and formulae are obtained through the perations with Extension Principle of fuzzy numbers. hird, the concept of Maximizing set and Minimizing set re introduces as the criterion of ranking the order of eneralized fuzzy numbers; this method has improved upon he method of Jain. Fourth, the Function Principle is ntroduced as a new Principle of Operation of fuzzy num- ers. It provides that the type of membership function of uzzy numbers is preserved after the operation; moreover, he calculation of the operation is simple. By employing he Second Function Principle, the method of evaluation of n alternatives with fuzzy linear combination of fuzzy linear functions is used to deal with the estimated corresponding fuzzy quantities of the seven categories of the secretarial applicants'' questionnaire. Each category contains several items on the requirements of a secretar- ial applicant. Then, the criterion of total utility, by Maximizing Set and Minimizing Set, is used to rank the order of the obtained fuzzy quantities of ability of each secretarial applicant; it provides a reference formaking a choice.
The fuzzy questionnaire and the model of evaluation alternatives with fuzzy linear combination of fuzzy linear functions can also be used to evaluate the working efficiency of employees or to evaluate the suitability of job applicants.
 
 
 
 
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