{"title":"模糊数的均值与评价指标对模糊性的度量","authors":"Y. Yoshida","doi":"10.1109/ICCIS.2006.252245","DOIUrl":null,"url":null,"abstract":"In this paper, we discuss an evaluation method of fuzzy numbers as mean values and measurement of fuzziness defined by fuzzy measures, and the presented method is applicable to fuzzy numbers and fuzzy stochastic process defined by fuzzy numbers/fuzzy random variables in decision making. We compare the measurement of fuzziness and the variance as a factor to measure uncertainty. Formulae are also given to apply the results to triangle-type fuzzy numbers and trapezoidal-type fuzzy numbers","PeriodicalId":296028,"journal":{"name":"2006 IEEE Conference on Cybernetics and Intelligent Systems","volume":"60 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Mean Values of Fuzzy Numbers and the Measurement of Fuzziness by Evaluation Measures\",\"authors\":\"Y. Yoshida\",\"doi\":\"10.1109/ICCIS.2006.252245\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we discuss an evaluation method of fuzzy numbers as mean values and measurement of fuzziness defined by fuzzy measures, and the presented method is applicable to fuzzy numbers and fuzzy stochastic process defined by fuzzy numbers/fuzzy random variables in decision making. We compare the measurement of fuzziness and the variance as a factor to measure uncertainty. Formulae are also given to apply the results to triangle-type fuzzy numbers and trapezoidal-type fuzzy numbers\",\"PeriodicalId\":296028,\"journal\":{\"name\":\"2006 IEEE Conference on Cybernetics and Intelligent Systems\",\"volume\":\"60 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-06-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2006 IEEE Conference on Cybernetics and Intelligent Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCIS.2006.252245\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 IEEE Conference on Cybernetics and Intelligent Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCIS.2006.252245","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mean Values of Fuzzy Numbers and the Measurement of Fuzziness by Evaluation Measures
In this paper, we discuss an evaluation method of fuzzy numbers as mean values and measurement of fuzziness defined by fuzzy measures, and the presented method is applicable to fuzzy numbers and fuzzy stochastic process defined by fuzzy numbers/fuzzy random variables in decision making. We compare the measurement of fuzziness and the variance as a factor to measure uncertainty. Formulae are also given to apply the results to triangle-type fuzzy numbers and trapezoidal-type fuzzy numbers