{"title":"格蕴涵代数的区间值模糊滤波器","authors":"Pen Jiayin","doi":"10.1109/ICICIS.2011.73","DOIUrl":null,"url":null,"abstract":"The concept of quasi-coincidence of a fuzzy point with a fuzzy set is extended to the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, the notions of interval valued („¡, „¡ „q)-fuzzy filters in lattice implication algebras which is a generalization of ordinary fuzzy filters of lattice implication algebras, is defined, and their related properties and equivalent description are given. In particular, the concept of a fuzzy subgroup with thresholds is generalized to the concept of an interval valued fuzzy filter with thresholds in lattice implication algebras.","PeriodicalId":255291,"journal":{"name":"2011 International Conference on Internet Computing and Information Services","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Interval Valued Fuzzy Filters of Lattice Implication Algebras\",\"authors\":\"Pen Jiayin\",\"doi\":\"10.1109/ICICIS.2011.73\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The concept of quasi-coincidence of a fuzzy point with a fuzzy set is extended to the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, the notions of interval valued („¡, „¡ „q)-fuzzy filters in lattice implication algebras which is a generalization of ordinary fuzzy filters of lattice implication algebras, is defined, and their related properties and equivalent description are given. In particular, the concept of a fuzzy subgroup with thresholds is generalized to the concept of an interval valued fuzzy filter with thresholds in lattice implication algebras.\",\"PeriodicalId\":255291,\"journal\":{\"name\":\"2011 International Conference on Internet Computing and Information Services\",\"volume\":\"38 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-09-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 International Conference on Internet Computing and Information Services\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICICIS.2011.73\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 International Conference on Internet Computing and Information Services","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICIS.2011.73","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Interval Valued Fuzzy Filters of Lattice Implication Algebras
The concept of quasi-coincidence of a fuzzy point with a fuzzy set is extended to the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, the notions of interval valued („¡, „¡ „q)-fuzzy filters in lattice implication algebras which is a generalization of ordinary fuzzy filters of lattice implication algebras, is defined, and their related properties and equivalent description are given. In particular, the concept of a fuzzy subgroup with thresholds is generalized to the concept of an interval valued fuzzy filter with thresholds in lattice implication algebras.
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