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This paper attempts to show how fuzzy set theory can be used to weaken some of the stringent, rationality assumptions used in classical micro-economics. The objective of the paper is to see whether by introducing fuzziness we arrive to new results or just only generalizations of classical micro-economic results. We discover that the axiom of completeness is not needed anymore. Using fuzziness will also allow us to better explain the existing gap between delimiting possible choices and making the actual choice. We also introduce the notions of a fuzzy indifference set with a measurable area. The fuzzy utility surface is also discussed. The demand curve is now 'thick'. / In the producer area, the classical hypothesis that maximum profit entails maximum utility of profit is now substantially weakened when introducing fuzziness. / Finally, we consider revealed preference within a fuzzy context.

Thesis (Ph. D.)--University of Washington, 1997. / Vita. Includes bibliographical references (leaves [80]-84).

Thesis (M.S.)--West Virginia University, 2009. / Title from document title page. Document formatted into pages; contains xiii, 120 p. : ill. (some col.). Includes abstract. Includes bibliographical references (p. 89-93).

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In this thesis we first extend the notion of fuzzy normality to the notion of normality of a fuzzy subgroup in another fuzzy group. This leads to the study of normal series of fuzzy subgroups, and this study includes solvable and nilpotent fuzzy groups, and the fuzzy version of the Jordan-Hõlder Theorem. Furthermore we use the notion of normality to study products and direct products of fuzzy subgroups. We present a notion of fuzzy isomorphism which enables us to state and prove the three well-known isomorphism theorems and the fact that the internal direct product of two normal fuzzy subgroups is isomorphic to the external direct product of the same fuzzy subgroups. A brief discussion on fuzzy subgroups generated by fuzzy subsets is also presented, and this leads to the fuzzy version of the Basis Theorem. Finally, the notion of direct product enables us to study decomposable and indecomposable fuzzy subgroups, and this study includes the fuzzy version of the Remak-Krull-Schmidt Theorem.

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鄧國章. / Thesis (M.A.)--香港中文大學硏究院地理學部. / Includes bibliographical references (leaves 215-228). / Deng Guozhang. / Thesis (M.A.)--Xianggang Zhong wen da xue yan jiu yuan di li xue bu. / Chapter 第一章 --- 導論 --- p.1 / Chapter 1.1 --- 研究目的 --- p.1 / Chapter 1.2 --- 研究意義 --- p.7 / Chapter 1.2.1 --- 方法學上的意義 --- p.7 / Chapter 1.2.2 --- 地理學上的意義 --- p.8 / Chapter 1.2.3 --- 應用上的意義 --- p.9 / Chapter 1.3 --- 研究範圍 --- p.10 / Chapter 1.4 --- 論文結構概述 --- p.12 / Chapter 第二章 --- 文獻簡讀 --- p.15 / Chapter 2.1 --- 分類與區劃的意義 --- p.15 / Chapter 2.1.1 --- 分類與區劃 --- p.15 / Chapter 2.1.2 --- 區域的類型 --- p.18 / Chapter 2.1.3 --- 區劃的方法　 --- p.23 / Chapter 2.2 --- 氣候分類 --- p.27 / Chapter 2.2.1 --- 氣候分類的目的及意義　　 --- p.27 / Chapter 2.2.2 --- 氣候分類的類型及方法 --- p.29 / Chapter 2.2.3 --- 柯本氏氣候分類法 --- p.31 / Chapter 2.3 --- 中國氣候區劃 --- p.41 / Chapter 2.3.1 --- 中國氣候區劃歷史概況 --- p.41 / Chapter 2.3.2 --- 應用柯本氏氣候分類法於中國氣候區劃的經驗 --- p.44 / Chapter 2.4 --- 糢糊集合論於分類及區畫間題上的應用 --- p.47 / Chapter 2.4.1 --- 糢糊集合論於分類及區劃上的應用 --- p.47 / Chapter 2.4.2 --- 糢糊集合論於氣候區劃的應用 --- p.50 / Chapter 第三章 --- 研究方法 --- p.53 / Chapter 3.1 --- 應用模糊集合論於氣候分類之理論基璴 　 --- p.53 / Chapter 3.1.1 --- 集合與區域 --- p.53 / Chapter 3.1.2 --- 模糊集合的基本概念及運算 --- p.54 / Chapter 3.2 --- 氣候區的釐訂及區域界綫的劃定方法 --- p.68 / Chapter 3.2.1 --- 氣候區的描述 --- p.68 / Chapter 3.2.2 --- 氣候區的重疊與分割 --- p.75 / Chapter 3.3 --- 數據資料處理方法 --- p.80 / Chapter 3.3.1 --- 數據搜集方法 --- p.80 / Chapter 3.3.2 --- 站點分佈情況 --- p.80 / Chapter 3.3.3 --- 資料整理方法 --- p.82 / Chapter 3.4 --- 注釋 --- p.85 / Chapter 第四章 --- 柯本氏氣候分類系統的普通集合表示 --- p.86 / Chapter 4.1 --- 柯本氏氣候類型可視一組集合 --- p.86 / Chapter 4.2 --- 結果及分析 --- p.96 / Chapter 第五章 --- 柯本氏氣侯分類之模楜集合分析－隸屬度分析 --- p.99 / Chapter 5.1 --- 訂定隸屬涵數方法及區劃步驟 --- p.99 / Chapter 5.2 --- 結果及隸屬度分析 　　 --- p.108 / Chapter 5.3 --- 中國氣候區的劃定 --- p.125 / Chapter 5.4 --- 小結 --- p.140 / Chapter 第六章 --- 柯本氏氣類之模糊集合分析－分割度分析 --- p.143 / Chapter 6.1 --- 分割與區界 --- p.143 / Chapter 6.2 --- 結果及分析 --- p.146 / Chapter 6.3 --- 中國氣候區重疊地帶的劃訂 --- p.155 / Chapter 6.4 --- 小結 --- p.166 / Chapter 6.5 --- 注釋 --- p.169 / Chapter 第七章 --- 柯本氏氣候分類法的改進 --- p.170 / Chapter 7.1 --- 柯本氏氣候分類法的改善 --- p.170 / Chapter 7.2 --- 改良後的柯本氏範式之中國氣候區劃 --- p.186 / Chapter 7.3 --- 與中國植被區的劃配合情況 　 --- p.186 / Chapter 7.4 --- 與中國土壤區劃的配合情況　　 --- p.194 / Chapter 第八章 --- 後語 --- p.208 / Chapter 8.1 --- 研究結果要點重申 --- p.208 / Chapter 8.2 --- 研究限制 --- p.210 / Chapter 8.3 --- 研究展望 --- p.213 / 參考文獻 --- p.215 / 附錄 / Chapter I --- 中國各省、市、自治區志面　 --- p.229 / Chapter II --- 柯氏氣候類型的隸屬函數 --- p.235 / Chapter III --- 電腦計算程式 --- p.254 / Chapter IV --- 隸屬度計算結果 --- p.259 / Chapter （一） --- 原本的柯本氏氣候類型的隸屬度計算結果 --- p.259 / Chapter （二） --- 改良後的柯本氏氣候類型的隸屬度計算結果 --- p.265