{"title":"Algorithm and software for solving fuzzy relational equations in some BL-algebras","authors":"K. Peeva, D. Petrov","doi":"10.1109/IS.2008.4670409","DOIUrl":null,"url":null,"abstract":"We study fuzzy linear systems of equations when the composition is infrarr. Algebraic-logical approach and procedures for inverse problem resolution are proposed. They provide algorithm for solving fuzzy linear system of equations in Godel algebra, product (Goguen) algebra and Lukasiewicz algebra: when the system is consistent, its complete solution set is calculated. In case of inconsistency, the equations that can not be satisfied by the minimal solution are obtained.","PeriodicalId":305750,"journal":{"name":"2008 4th International IEEE Conference Intelligent Systems","volume":"56 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 4th International IEEE Conference Intelligent Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IS.2008.4670409","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
We study fuzzy linear systems of equations when the composition is infrarr. Algebraic-logical approach and procedures for inverse problem resolution are proposed. They provide algorithm for solving fuzzy linear system of equations in Godel algebra, product (Goguen) algebra and Lukasiewicz algebra: when the system is consistent, its complete solution set is calculated. In case of inconsistency, the equations that can not be satisfied by the minimal solution are obtained.
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