{"title":"有限区间上模糊划分的模糊熵","authors":"Ming Qing","doi":"10.1109/ISCID.2013.120","DOIUrl":null,"url":null,"abstract":"In this paper, fuzzy entropy for a fuzzy partition on a finite interval is defined. Fuzzy entropy for a fuzzy partition comprehensively reflects fuzzy degree of a fuzzy partition. Then, some computation formulae of fuzzy entropy for a fuzzy partition are presented. These results will contribute to the analysis and design of fuzzy systems in that how to measure the fuzzy entropy of a fuzzy partition is an important foundation to construct fuzzy entropy for a fuzzy system to reflect fuzzy degree of a fuzzy system which is commonly made up of several fuzzy partitions on different universes of the discourse.","PeriodicalId":297027,"journal":{"name":"2013 Sixth International Symposium on Computational Intelligence and Design","volume":"167 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fuzzy Entropy of Fuzzy Partition on a Finite Interval\",\"authors\":\"Ming Qing\",\"doi\":\"10.1109/ISCID.2013.120\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, fuzzy entropy for a fuzzy partition on a finite interval is defined. Fuzzy entropy for a fuzzy partition comprehensively reflects fuzzy degree of a fuzzy partition. Then, some computation formulae of fuzzy entropy for a fuzzy partition are presented. These results will contribute to the analysis and design of fuzzy systems in that how to measure the fuzzy entropy of a fuzzy partition is an important foundation to construct fuzzy entropy for a fuzzy system to reflect fuzzy degree of a fuzzy system which is commonly made up of several fuzzy partitions on different universes of the discourse.\",\"PeriodicalId\":297027,\"journal\":{\"name\":\"2013 Sixth International Symposium on Computational Intelligence and Design\",\"volume\":\"167 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-10-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 Sixth International Symposium on Computational Intelligence and Design\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISCID.2013.120\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 Sixth International Symposium on Computational Intelligence and Design","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISCID.2013.120","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fuzzy Entropy of Fuzzy Partition on a Finite Interval
In this paper, fuzzy entropy for a fuzzy partition on a finite interval is defined. Fuzzy entropy for a fuzzy partition comprehensively reflects fuzzy degree of a fuzzy partition. Then, some computation formulae of fuzzy entropy for a fuzzy partition are presented. These results will contribute to the analysis and design of fuzzy systems in that how to measure the fuzzy entropy of a fuzzy partition is an important foundation to construct fuzzy entropy for a fuzzy system to reflect fuzzy degree of a fuzzy system which is commonly made up of several fuzzy partitions on different universes of the discourse.