基於直覺模糊集合之模糊多屬性決策是一個重要的研究課題。近年來，已有一些處理模糊多屬性決策問題的方法被提出。在本論文中，我們提出一個測量直覺模糊集合間之相似度的新方法及提出一個根據直覺模糊幾何平均運算子以作模糊多屬性決策之新方法。首先，我們提出一個測量直覺模糊集合間之相似度的新方法。然後，我們提出直覺模糊數的乘法運算子及直覺模糊數的乘冪運算子，進而提出直覺模糊加權幾何平均運算子、直覺模糊有序加權幾何平均運算子、及直覺模糊混合幾何平均運算子。然後，我們提出一個基於我們所提之直覺模糊幾何平均運算子以作模糊多屬性決策的新方法。最後，我們用一些例子以說明我們所提之新的模糊多屬性決策方法可以克服已存在之方法的缺點。我們所提之方法提供我們一個有用的方法以根據直覺模糊集合以作模糊多屬性決策問題。

Fuzzy multiattribute decision making based on intuitionistic fuzzy sets is an important research topic. In recent years, some methods have been presented for dealing with fuzzy multiattribute decision making problems. In this thesis, we propose a new similarity measure between intuitionistic fuzzy sets and propose a new fuzzy multiattribute decision making method based on the proposed intuitionistic fuzzy geometric averaging operators. First, we propose a new similarity measure between intuitionistic fuzzy sets. Then, we propose the intuitionistic fuzzy weighted geometric averaging (IFWGA) operator, the intuitionistic fuzzy ordered weighted geometric averaging (IFOWGA) operator and the intuitionistic fuzzy hybrid geometric averaging (IFHGA) operator based on the proposed multiplication operator between intuitionistic fuzzy values and the proposed power operator of an intuitionistic fuzzy value. Then, we propose a new fuzzy multiattribute decision making method based on the proposed intuitionistic fuzzy geometric averaging operators. Finally, we use some examples to illustrate the proposed fuzzy multiattribute decision making method can overcome the drawbacks of the existing methods. The proposed method provides us with a useful way to deal with fuzzy multiattribute decision making problems based on intuitionistic fuzzy sets.

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