{"title":"Construction of uninorms on bounded lattices","authors":"S. Bodjanova, M. Kalina","doi":"10.1109/SISY.2014.6923558","DOIUrl":null,"url":null,"abstract":"Karaçal and Mesiar showed that it is possible to construct uninorms on an arbitrary bounded lattice. Particularly, they constructed the weakest and the strongest uninorm. In this paper another method for a construction of uninorms on bounded lattices is proposed. The cases of general bounded lattices as well as bounded lattices equipped with a special arithmetic operation, are discussed.","PeriodicalId":277041,"journal":{"name":"2014 IEEE 12th International Symposium on Intelligent Systems and Informatics (SISY)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"55","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 IEEE 12th International Symposium on Intelligent Systems and Informatics (SISY)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SISY.2014.6923558","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 55
Abstract
Karaçal and Mesiar showed that it is possible to construct uninorms on an arbitrary bounded lattice. Particularly, they constructed the weakest and the strongest uninorm. In this paper another method for a construction of uninorms on bounded lattices is proposed. The cases of general bounded lattices as well as bounded lattices equipped with a special arithmetic operation, are discussed.
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