{"title":"模糊积分在完全残差格上的收敛性","authors":"A. Dvořák, M. Holčapek","doi":"10.2991/eusflat.2011.68","DOIUrl":null,"url":null,"abstract":"Recently we proposed a new type of fuzzy integrals defined over complete residuated lattices. These integrals are intended for the modeling of type ⟨1, 1⟩ fuzzy quantifiers. An interesting theoretical question is, how to introduce various notions of convergence of this type of fuzzy integrals. In this contribution, we would like to present some results on strong and pointwise convergence of these fuzzy integrals, where the operation of the biresiduum is used to establish the measurement how close two elements of a residuated lattice are.","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On Convergence of Fuzzy Integrals over Complete Residuated Lattices\",\"authors\":\"A. Dvořák, M. Holčapek\",\"doi\":\"10.2991/eusflat.2011.68\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Recently we proposed a new type of fuzzy integrals defined over complete residuated lattices. These integrals are intended for the modeling of type ⟨1, 1⟩ fuzzy quantifiers. An interesting theoretical question is, how to introduce various notions of convergence of this type of fuzzy integrals. In this contribution, we would like to present some results on strong and pointwise convergence of these fuzzy integrals, where the operation of the biresiduum is used to establish the measurement how close two elements of a residuated lattice are.\",\"PeriodicalId\":403191,\"journal\":{\"name\":\"EUSFLAT Conf.\",\"volume\":\"47 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-08-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"EUSFLAT Conf.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2991/eusflat.2011.68\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"EUSFLAT Conf.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2991/eusflat.2011.68","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Convergence of Fuzzy Integrals over Complete Residuated Lattices
Recently we proposed a new type of fuzzy integrals defined over complete residuated lattices. These integrals are intended for the modeling of type ⟨1, 1⟩ fuzzy quantifiers. An interesting theoretical question is, how to introduce various notions of convergence of this type of fuzzy integrals. In this contribution, we would like to present some results on strong and pointwise convergence of these fuzzy integrals, where the operation of the biresiduum is used to establish the measurement how close two elements of a residuated lattice are.
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