在本論文中，我們根據區間Type-2模糊集合提出一個新的群體決策方法且
根據區間直覺模糊值提出一個新的多屬性決策方法。本論文中所提之第一個新方法是根據區間Type-2模糊集合、增強型Karnik-Mendel演算法、及有序加權平均運算子以作群體決策，其中決策者們所提供的評估矩陣及屬性權重向量都是以語義詞來描述的區間Type-2模糊集合來表示。我們所提之新方法能自動的修正各個決策者的權重，直到群體共識度大於或等於預定之門檻值，其可以克服目前已存的群體決策方法之缺點，並且提供我們一個很有用的方法以在區間Type-2模糊集的環境中作群體決策。本論文中所提之第二個新方法是根據區間直覺模糊值及根據雙曲線正切函數的非線性規劃方法以作多屬性決策。決策者提供的決策矩陣及屬性權重都是以區間直覺模糊值來表示。我們所提的新方法先建立決策矩陣的轉換決策矩陣，然後使用雙曲線正切函數構成的非線性規劃模型來得到各屬性的最佳權重，然後採用區間直覺模糊加權平均運算子以計算各方案間的加權評估區間直覺模糊值，最後再對所得之加權評估區間直覺模糊值進行比較以獲得方案間之偏好排序。本論文中所提之第二個新方法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 new method for multiattribute group decision making based on interval type-2 fuzzy sets and propose a new method for multiattribute decision making based on interval-valued intuitionistic fuzzy values. The proposed first method deals with autocratic decision making using group recommendations based on interval type-2 fuzzy sets, enhanced Karnik-Mendel algorithms and the ordered weighted aggregation operator, where both the evaluating matrices and the weighting vectors of the attributes given by the decision makers are evaluated by linguistic terms represented by interval type-2 fuzzy sets. It automatically modifies the weights of the decision makers until the group consensus degree is larger than or equal to a predefined consensus threshold value. It can overcome the shortcomings of the existing methods and can provide us with a very useful way for autocratic decision making using group recommendations in interval type-2 fuzzy environments. The proposed second method deals with multiattibute decision making based on interval-valued intuitionistic fuzzy values and the non-linear programming methodology with the hyperbolic tangent function, where both the decision matrix and the weights of the attributes are represented by interval-valued intuitionistic fuzzy values. First, it constructs the transformed decision matrix of the decision matrix. Then, it constructs a non-linear programming model with the hyperbolic tangent function to get the optimal weights of the attributes. Then, it uses the interval-valued intuitionistic fuzzy weighted averaging operator to calculate the weighted evaluating interval-valued intuitionistic fuzzy values of the alternatives. Finally, it compares the obtained weighted evaluating interval-valued intuitionistic fuzzy values to obtain the preference order of the alternatives. It can overcome the drawbacks of the existing multiattibute decision making method.

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