本論文旨在根據我們所提之非線性規劃法、吉尼係數、及我們所提之區間直覺模糊值之新的得分函數提出一個新的多屬性決策方法。首先，我們提出一個區間直覺模糊值之新的得分函數，以克服目前已存在的區間直覺模糊值之得分函數的缺點。然後，我們根據所提之區間直覺模糊值之新的得分函數及決策者所提供之決策矩陣建構一個得分矩陣。然後，我們根據建構之得分矩陣、吉尼係數、及決策者所提供之各屬性的區間直覺模糊權重建構一個非線性規劃模型。在求解完此非線性規劃模型後，我們得到每一個屬性的最佳化權重。然後，我們根據建構之得分矩陣及每一個屬性的最佳權重計算了每一個方案的加權得分。最後，我們根據每一個方案之加權得分對這些方案進行排序。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在區間直覺模糊環境下可以克服目前已存在之多屬性決策方法的缺點。

In this thesis, we propose a novel multiattribute decision making method on the basis of the proposed nonlinear programming model, the Gini coefficient, 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 build a score matrix using the proposed score function of interval-valued intuitionistic fuzzy values and the decision matrix provided by the decision maker. Then, we construct a nonlinear programming model using the constructed score matrix, the Gini coefficient, and the interval-valued intuitionistic fuzzy weights of the attributes provided by the decision maker. After solving the constructed nonlinear programming model, we get the optimal weight of each attribute. Then, we calculate the weighted score of each alternative based on the constructed score matrix and the obtained optimal weights of the attributes. Finally, we rank the alternatives 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 in interval-valued intuitionistic fuzzy environments.

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