本論文旨在根據我們所提之區間直覺模糊值之得分函數及分數矩陣之平均數與變異數提出一個作多屬性決策之新方法，其中我們所提之新的得分函數能夠克服目前已存在之得分函數的缺點。首先，我們根據所提之新的得分函數以計算決策矩陣中每一個區間直覺模糊值之得分值以建立分數矩陣。然後，我們分別計算所獲得之分數矩陣之平均數及變異數。然後，我們根據所獲得之分數矩陣以建立標準分數矩陣。然後，我們根據所提之得分函數以轉換每一個屬性之區間直覺模糊權重成為一個精確的權重值。最後，我們根據所獲得之標準分數矩陣及所獲得之每一個屬性的轉換區間直覺模糊權重以計算每一個方案的加權分數，並根據每一個方案的加權分數以對每一個方案作排序，其中加權分數值越大的方案其排序越佳。我們所提之根據我們提出之區間直覺模糊值之新的得分函數及分數矩陣之平均數與變異數之多屬性決策方法可以克服目前已存在之多屬性決策方法的缺點。我們所提之多屬性決策方法提供一個很有用的方法以處理在區間直覺模糊環境下之多屬性決策問題。

In this thesis, we propose a new multiattribute decision making method based on the proposed score function of interval-valued intuitionistic fuzzy values and the means and the variances of score matrices, where the proposed score function can overcome the shortcomings of the existing score functions. Firstly, it calculates the score value of each interval-valued intuitionistic fuzzy value in the decision matrix based on the proposed score function to build the score matrix. Then, it computes the mean and the variance of the obtained score matrix. Then, it constructs the standard score matrix based on the obtained score matrix. Then, it converts the interval-valued intuitionistic fuzzy weight of each attribute into a crisp weight based on the proposed score function. Finally, based on the obtained standard score matrix and the obtained converted interval-valued intuitionistic fuzzy weights, it computes the weighted score of each alternative to rank the alternatives. The larger the weighted score of an alternative, the better the preference order of the alternative. The proposed multiattribute decision making method can overcome the drawbacks of the existing multiattribute decision making methods. It offers us a very useful way for multiattribute decision making in interval-valued intuitionistic fuzzy environments.

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