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 在模糊決策問題，模糊數之排序是一基本問題，偏好關係乃提供此一問題之合理解決方法之一，本研究乃探討由Nakamura (1986)所提出之兩種偏好關係，探討其基本性質，計算程式，並針對八種個案問題，分析其結果，比較兩種偏好關係在此八種個案問題之結果，此結果，對於模糊數排序提供一合理解決方法。
 In fuzzy decision problems, the fuzzy number ranking is the basic problem. Among which, the fuzzy preference relation is the reasonable one to provide the fuzzy number ranking. This paper studies the two types of Nakamura preference relations. These two types satisfy the reciprocal property. All the cases are divided to the eight cases. For each Nakamura preference relation, the computational program is presented. We also compare the values of the two types of Nakamura preference relations. These results provide insights into the Nakamura preference relations.
 中文摘要 i英文摘要 ii目 錄 iii圖 目 錄 iv第一章 緒論 11.1 研究動機 11.2 研究目的 11.3 論文架構 2第二章 模糊集合及測試問題 32.1 模糊集合 32.2 個案問題 7第一章 第一種NAKAMURA偏好關係 163.1 第一種NAKAMURA偏好關係 163.2 個案問題 173.3 計算程式 25第二章 第二種NAKAMURA偏好關係 294.1 第二種NAKAMURA偏好關係 294.2 個案問題 294.3 第一種及第二種NAKAMURA偏好關係之比較 33第三章 結論 39參考文獻 42
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 1 分級不同高度模糊集合之研究 2 加法直覺模糊偏好關係 3 最大及最小模糊數之偏好關係 4 隸屬度為基礎之偏好關係 5 模糊數之運算、排序及推估理論及其應用之研究

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