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題名 Goodness-of-Fit Test for Membership Functions with Fuzzy Data
作者 吳柏林
Wu,Berlin
貢獻者 應數系
關鍵詞 Fuzzy set theory ; Fuzzy numbers ; Membership functions ; Sampling survey ; Chi-square test for goodness-of-fit
日期 2012.1
上傳時間 11-Nov-2013 11:41:36 (UTC+8)
摘要 Conventionally, we use a chi-square test of homogeneity to determine whether the cell probabilities of a multinomial are equal. However, this process of testing hypotheses is based on the assumption of two-valued logic. If we collect questionnaire data using fuzzy logic, i.e., we record the category data with memberships instead of with a 0-1 type, then the conventional test of goodness-of- t will not work. In this paper, we present a new method, the fuzzy chi-square test, which will enable us to analyze those fuzzy sample data. The new testing process will efficiently solve the problem for which the category data are not integers. Some related properties of the fuzzy multinomial distribution are also described.
關聯 International Journal of Innovative Computing, Information and Control, 8(10) , 7437-7450
資料類型 article
dc.contributor 應數系en_US
dc.creator (作者) 吳柏林zh_TW
dc.creator (作者) Wu,Berlinen_US
dc.date (日期) 2012.1en_US
dc.date.accessioned 11-Nov-2013 11:41:36 (UTC+8)-
dc.date.available 11-Nov-2013 11:41:36 (UTC+8)-
dc.date.issued (上傳時間) 11-Nov-2013 11:41:36 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/61562-
dc.description.abstract (摘要) Conventionally, we use a chi-square test of homogeneity to determine whether the cell probabilities of a multinomial are equal. However, this process of testing hypotheses is based on the assumption of two-valued logic. If we collect questionnaire data using fuzzy logic, i.e., we record the category data with memberships instead of with a 0-1 type, then the conventional test of goodness-of- t will not work. In this paper, we present a new method, the fuzzy chi-square test, which will enable us to analyze those fuzzy sample data. The new testing process will efficiently solve the problem for which the category data are not integers. Some related properties of the fuzzy multinomial distribution are also described.en_US
dc.format.extent 140306 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) International Journal of Innovative Computing, Information and Control, 8(10) , 7437-7450en_US
dc.subject (關鍵詞) Fuzzy set theory ; Fuzzy numbers ; Membership functions ; Sampling survey ; Chi-square test for goodness-of-fiten_US
dc.title (題名) Goodness-of-Fit Test for Membership Functions with Fuzzy Dataen_US
dc.type (資料類型) articleen