臺灣博碩士論文加值系統

決策管理對企業而言一直是重要議題，面對一系列的決策問題，考驗管理者如何將有限資源合理分配，並協調企業內各部門間的活動，做出有效的決策需要結合理論與工具的輔助，本論文研究受約束有序加權平均(COWA)運算符，此運算符是一種多屬性決策的方法。我們提出最大化COWA問題之決策變數具有下邊界的數學規劃模型，並探討此問題在四維空間的情況下，其最佳解的可能性。。就理論與實例而言，當下邊界與權重的值改變，最佳解也會隨著改變，因此列出所有最佳解的型式，透過Mathematica軟體求解此問題，將最佳解型式合併剩下20種，分析最佳解與權重之間的關係。

Decision management has always been an important issue for enterprises, facing a series of decision-making problems, testing how managers can reasonably allocate limited resources, and coordinating activities between departments within the enterprise, making effective decisions needs to be combined with the support of theory and tools, this paper studies the Constrained Ordered Weighted Averaging (COWA) operator by Yager proposed in 1996, is a method of multi-attribute decision making. We propose a mathematical programming model to maximize the COWA problem of the lower boundary of the decision variable, and discuss the situation of this problem in four-dimensions. In this case, it is proposed that the decision variable has the optimal solution to maximize the COWA problem of the lower boundary. As far as theory is concerned, when the boundary and weight change, the optimal solution will also change. Using Mathematica software to solve the problem and left 20 optimal solutions, and analyze the relationship between weight and optimal solution.

摘 要 I
ABSTRACT II
目錄 III
表目錄 IV
第一章 緒論 1
1.1 研究背景與動機 1
1.2 研究目的 2
1.3 研究架構 2
1.4 研究限制與範圍 3
第二章 文獻探討 4
2.1 Ordered Weighted Averaging 4
2.1.1 OWA特性 4
2.1.2 OWA應用 5
2.2 Constrained Ordered Weight Averaging 6
2.3 Mixed Integer Linear Programming Problem(MILP) 7
第三章 研究方法 10
3.1. 建構4COWA問題數學模型 10
3.2. 探討最大化COWA問題之變數下邊界 11
3.3. 推導4COWA之可行解 13
3.4. 求解4COWA問題 19
第四章 結果與分析 28
4.1 4COWA問題最佳解之可能值 28
4.2 軟體求解結果 32
4.3 整理各型式之目標值及條件 35
第五章 結論與建議 45
第六章 參考文獻 46

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