{"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}
引用次数: 6
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.<>