| dc.contributor.advisor | 吳柏林 | zh_TW |
| dc.contributor.author (Authors) | 張曙光 | zh_TW |
| dc.contributor.author (Authors) | Shu-Kuang,Chang | en_US |
| dc.creator (作者) | 張曙光 | zh_TW |
| dc.creator (作者) | Shu-Kuang,Chang | en_US |
| dc.date (日期) | 2006 | en_US |
| dc.date.accessioned | 17-Sep-2009 13:45:46 (UTC+8) | - |
| dc.date.available | 17-Sep-2009 13:45:46 (UTC+8) | - |
| dc.date.issued (上傳時間) | 17-Sep-2009 13:45:46 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0090751503 | en_US |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/32566 | - |
| dc.description (描述) | 博士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學研究所 | zh_TW |
| dc.description (描述) | 90751503 | zh_TW |
| dc.description (描述) | 95 | zh_TW |
| dc.description.abstract (摘要) | 在許多實際情形下，傳統的統計檢定方法是不足以應付的。故本論文提出模糊檢定方法，我們定義出模糊樣本期望值與模糊樣本變異數的計算方法，再針對不同的模糊資料，分別提出不同的檢定方法，去解決最實際需要解決的問題，其中包括推廣古典的統計檢定方法與自創的檢定方法。關鍵字：隸屬度函數，模糊樣本取樣，模糊樣本期望值，模糊樣本變異數，人性思考，t檢定，F檢定，模糊常態分配。 | zh_TW |
| dc.description.abstract (摘要) | In many expositions of fuzzy methods, fuzzy techniques are described as an alternative to a more traditional statistical approach. In this paper, we present a class of fuzzy statistical decision process in which testing hypothesis can be naturally reformulated in terms of interval-valued statistics. We provide the definitions of fuzzy mean, fuzzy distance as well as investigation of their related properties. We also give some empirical examples to illustrate the techniques and to analyze fuzzy data. Empirical studies show that fuzzy hypothesis testing with soft computing for interval data are more realistic and reasonable in the social science research. Finally certain comments are suggested for the further studies. We hope that this reformation will make the corresponding fuzzy techniques more acceptable to researchers whose only experience is in using traditional statistical methods.Key words: Membership function, fuzzy sampling survey, fuzzy mean, human thought, t-test, F-test, normally distributed. | en_US |
| dc.description.tableofcontents | Abstract v摘要 viTable of Contents vii Chapter 1. Introduction 11.1 Research Objective 31.2 Organization of the Dissertation 8Chapter 2. Literature Review 10Chapter 3 Testing on Discrete and Continuous Fuzzy Numbers 163.1. Fuzzy Data with Soft Computing 163.1.1. Membership Function 163.2. Fuzzy Mean 183.3. Some Properties and Soft Computing of Fuzzy Data 213.3.1. Fuzzy Equal and Fuzzy Belongs for Fuzzy Data 213.3.2. Some Properties about Fuzzy Data 243.4. Testing Hypothesis with Fuzzy Data 273.4.1. Testing Hypothesis for Fuzzy Equal 273.4.2. Testing Hypothesis for Fuzzy Belongs 303.5. Empirical Studies 31Chapter 4. Testing on Interval Data (I) 374.1. Fuzzy Mean and Fuzzy Variance 374.1.1. Definition and properties 374.2. Interval’s Confidence Interval 394.3. Testing Hypotheses about Mean and Variance with Interval Data 404.3.1. Extended Concept 404.4. Illustration Examples 42Chapter 5. Testing on Interval Data (II) 455.1. Sample Mean and Sample Variance for Interval Data 455.2. Method of computing sample mean for interval data 455.2.1. Method of computing sample mean for interval form 465.3. Testing hypotheses about mean and variance with interval data 525.4. Empirical studies 58Chapter 6. Conclusions 62Reference 64 | zh_TW |
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| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0090751503 | en_US |
| dc.subject (關鍵詞) | 隸屬度函數 | zh_TW |
| dc.subject (關鍵詞) | 模糊樣本取樣 | zh_TW |
| dc.subject (關鍵詞) | 模糊樣本期望值 | zh_TW |
| dc.subject (關鍵詞) | 模糊樣本變異數 | zh_TW |
| dc.subject (關鍵詞) | 人性思考 | zh_TW |
| dc.subject (關鍵詞) | t檢定 | zh_TW |
| dc.subject (關鍵詞) | F檢定 | zh_TW |
| dc.subject (關鍵詞) | 模糊常態分配 | zh_TW |
| dc.subject (關鍵詞) | Membership function | en_US |
| dc.subject (關鍵詞) | fuzzy sampling survey | en_US |
| dc.subject (關鍵詞) | fuzzy mean | en_US |
| dc.subject (關鍵詞) | human thought | en_US |
| dc.subject (關鍵詞) | t-test | en_US |
| dc.subject (關鍵詞) | F-test | en_US |
| dc.subject (關鍵詞) | normally distributed | en_US |
| dc.title (題名) | 模糊期望值與模糊變異數的檢定方法 | zh_TW |
| dc.title (題名) | Methods on Testing Hypotheses of Fuzzy Mean and Fuzzy Variance | en_US |
| dc.type (資料類型) | thesis | en |
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