{"title":"一般pseudo-integral","authors":"E. Pap, A. Szakál","doi":"10.1109/SACI.2015.7208248","DOIUrl":null,"url":null,"abstract":"It is generalized the notion of pseudo-measure for values in a partially ordered commutative semiring endowed with special metrics. Based on the notion of generalized pseudo-measure it is introduced the corresponding pseudo-integral, and there are proved some important properties of it. Then there are considered special semirings on real intervals, and some application on nonlinear partial diferential equations.","PeriodicalId":312683,"journal":{"name":"2015 IEEE 10th Jubilee International Symposium on Applied Computational Intelligence and Informatics","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"General pseudo-integral\",\"authors\":\"E. Pap, A. Szakál\",\"doi\":\"10.1109/SACI.2015.7208248\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is generalized the notion of pseudo-measure for values in a partially ordered commutative semiring endowed with special metrics. Based on the notion of generalized pseudo-measure it is introduced the corresponding pseudo-integral, and there are proved some important properties of it. Then there are considered special semirings on real intervals, and some application on nonlinear partial diferential equations.\",\"PeriodicalId\":312683,\"journal\":{\"name\":\"2015 IEEE 10th Jubilee International Symposium on Applied Computational Intelligence and Informatics\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-05-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 IEEE 10th Jubilee International Symposium on Applied Computational Intelligence and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SACI.2015.7208248\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE 10th Jubilee International Symposium on Applied Computational Intelligence and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SACI.2015.7208248","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
It is generalized the notion of pseudo-measure for values in a partially ordered commutative semiring endowed with special metrics. Based on the notion of generalized pseudo-measure it is introduced the corresponding pseudo-integral, and there are proved some important properties of it. Then there are considered special semirings on real intervals, and some application on nonlinear partial diferential equations.