{"title":"最大积模糊关系不等式不相容系统的近似解","authors":"Haitao Lin, Xiaobin Yang, Xiaopeng Yang","doi":"10.1109/FSKD.2016.7603295","DOIUrl":null,"url":null,"abstract":"The system of max-product fuzzy relation inequalities(FRI) has been studied when it is consistent. In this paper, we study max-product FRI system when it is inconsistent. Based on some new concepts and theorems of approximate solutions, we provide an algorithm to solve its approximate solutions of the inconsistent FRI system. Also, we give an example to demonstrate the efficiency of the algorithm.","PeriodicalId":373155,"journal":{"name":"2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD)","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximate solution to inconsistent system of max-product fuzzy relation inequalities\",\"authors\":\"Haitao Lin, Xiaobin Yang, Xiaopeng Yang\",\"doi\":\"10.1109/FSKD.2016.7603295\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The system of max-product fuzzy relation inequalities(FRI) has been studied when it is consistent. In this paper, we study max-product FRI system when it is inconsistent. Based on some new concepts and theorems of approximate solutions, we provide an algorithm to solve its approximate solutions of the inconsistent FRI system. Also, we give an example to demonstrate the efficiency of the algorithm.\",\"PeriodicalId\":373155,\"journal\":{\"name\":\"2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD)\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FSKD.2016.7603295\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FSKD.2016.7603295","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Approximate solution to inconsistent system of max-product fuzzy relation inequalities
The system of max-product fuzzy relation inequalities(FRI) has been studied when it is consistent. In this paper, we study max-product FRI system when it is inconsistent. Based on some new concepts and theorems of approximate solutions, we provide an algorithm to solve its approximate solutions of the inconsistent FRI system. Also, we give an example to demonstrate the efficiency of the algorithm.