本論文旨在根據非線性規劃法及我們所提之區間直覺模糊值之得分函數提出一個新的多屬性決策方法。首先，我們提出一個新的區間直覺模糊值之得分函數，以克服目前已存在之區間直覺模糊值之得分函數的缺點。然後，我們根據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的決策矩陣中之每一個區間直覺模糊值的得分值以建構轉換矩陣。然後，我們根據所得之轉換矩陣及決策者所給之每一個屬性的區間直覺模糊權重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的最佳權重。然後，我們根據所得到之轉換矩陣及所得到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，其在區間直覺模糊值的環境中提供我們一個非常有用的方法以作多屬性決策。

In this thesis, we propose a new multiattribute decision making method based on the nonlinear programming methodology and the proposed score function of interval-valued intuitionistic fuzzy values. Firstly, we propose a new score function of interval-valued intuitionistic fuzzy values to overcome the drawbacks of the existing score functions of interval-valued intuitionistic fuzzy values. Then, we construct the converted matrix based on the proposed score function of interval-valued intuitionistic fuzzy values by calculating the score value of each interval-valued intuitionistic fuzzy value in the decision matrix offered by the decision maker. Then, we construct the non-linear programming model based on the obtained converted matrix and the interval-valued intuitionistic fuzzy weight of each attribute given by the decision maker. Then, we solve the non-linear programming model to obtain the optimal weight for each attribute. Then, based on the obtained converted matrix and the obtained optimal weight of each attribute, we calculate the weighted score of each alternative. Finally, the alternatives are ranked based on the obtained weighted scores of 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 approach for multiattribute decision making in interval-valued intuitionistic fuzzy settings.

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