{"title":"模糊集的判别和模糊度量","authors":"D. Bhandari, N. Pal, D. Majumder","doi":"10.1109/FUZZY.1992.258610","DOIUrl":null,"url":null,"abstract":"A new informative measure for discrimination between two fuzzy sets is introduced. This discriminating measure reduces, under a special condition to the nonprobabilistic entropy discussed by A. Deluca and S. Termini (1972). The divergence measure between two sets is defined along with a large set of properties. It is used to define an ambiguity (fuzziness) measure. A. Renyi's (1961) probabilistic entropy of order alpha is extended to define a nonprobabilistic entropy of a fuzzy set. Various properties of this definition are considered.<<ETX>>","PeriodicalId":222263,"journal":{"name":"[1992 Proceedings] IEEE International Conference on Fuzzy Systems","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Measures of discrimination and ambiguity for fuzzy sets\",\"authors\":\"D. Bhandari, N. Pal, D. Majumder\",\"doi\":\"10.1109/FUZZY.1992.258610\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new informative measure for discrimination between two fuzzy sets is introduced. This discriminating measure reduces, under a special condition to the nonprobabilistic entropy discussed by A. Deluca and S. Termini (1972). The divergence measure between two sets is defined along with a large set of properties. It is used to define an ambiguity (fuzziness) measure. A. Renyi's (1961) probabilistic entropy of order alpha is extended to define a nonprobabilistic entropy of a fuzzy set. Various properties of this definition are considered.<<ETX>>\",\"PeriodicalId\":222263,\"journal\":{\"name\":\"[1992 Proceedings] IEEE International Conference on Fuzzy Systems\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-03-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1992 Proceedings] IEEE International Conference on Fuzzy Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FUZZY.1992.258610\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1992 Proceedings] IEEE International Conference on Fuzzy Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FUZZY.1992.258610","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Measures of discrimination and ambiguity for fuzzy sets
A new informative measure for discrimination between two fuzzy sets is introduced. This discriminating measure reduces, under a special condition to the nonprobabilistic entropy discussed by A. Deluca and S. Termini (1972). The divergence measure between two sets is defined along with a large set of properties. It is used to define an ambiguity (fuzziness) measure. A. Renyi's (1961) probabilistic entropy of order alpha is extended to define a nonprobabilistic entropy of a fuzzy set. Various properties of this definition are considered.<>
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