本論文旨在根據我們所提之非線性規劃法、我們所提之區間直覺模糊值之得分函數
、及在所建構之得分矩陣中的每一行之得分值的標準差提出一個新的多屬性決策方法。我們所提之區間直覺模糊值之得分函數可以克服目前已存在之區間直覺模糊值之得分函數的缺點。首先，我們使用我們所提之區間直覺模糊值之得分函數計算決策者所提供之決策矩陣中的每一個區間直覺模糊值之得分以構建一個得分矩陣。然後，我們計算所得之得分矩陣中每一行的得分值之標準差。然後，我們根據所得之得分矩陣、得分矩陣中每一行得分值之標準差、決策者所提供之每一個屬性的區間直覺模糊權重、區間直覺模糊值之最大範圍、及偏差變量之概念以建構一個非線性規劃模型。然後，我們求解此非線性規劃模型以得到每一個屬性之最佳權重。然後，我們根據所得之得分矩陣及所得之每一個屬性的最佳權重計算每一個方案的加權得分。最後，我們根據每一個方案所得之加權得分對每一個方案進行排序。如果一個方案有較高之加權得分，則此方案具有更佳之偏好排序。我們所提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，其提供我們在區間直覺模糊值之環境中一個非常有用的方法以作多屬性決策。

In this thesis, we propose a novel multiattribute decision making method based on the proposed nonlinear programming model, the proposed score function of interval-valued intuitionistic fuzzy values, and the standard deviation of the values appeared in each column of the constructed score matrix. The proposed score function of interval-valued intuitionistic fuzzy values can overcome the drawbacks of the existing score functions of interval-valued intuitionistic fuzzy values. Firstly, we build the score matrix based on the decision matrix provided by the decision maker and the proposed score function of interval-valued intuitionistic fuzzy values. Then, we compute the standard deviation of the values appeared in each column of the score matrix. Then, we construct a nonlinear programming model based on the obtained score matrix, the obtained standard deviation of the values appeared in each column of the score matrix, the interval-valued intuitionistic fuzzy weights of the attributes, the largest ranges of interval-valued intuitionistic fuzzy values, and the concept of deviation variables. Then, we solve the nonlinear programming model to obtain the optimal weights of the attributes, respectively. Then, based on the constructed score matrix and the obtained optimal weights of the attributes, we compute the weighted score of each alternative. Finally, we rank the alternatives based on the obtained weighted scores. The larger the weighted score of an alternative, the better the preference order of the alternative. The proposed multiattribute decision making method can conquer the shortcomings of the existing multiattribute decision making methods. It offers us with a very useful approach for multiattribute decision making in the interval-valued intuitionistic fuzzy context.

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