R. Zanotelli, R. Reiser, S. Cavalheiro, Luciana Foss, B. Bedregal
{"title":"Towards robustness and duality analysis of intuitionistic fuzzy aggregations","authors":"R. Zanotelli, R. Reiser, S. Cavalheiro, Luciana Foss, B. Bedregal","doi":"10.1109/FUZZ-IEEE.2015.7338076","DOIUrl":null,"url":null,"abstract":"This paper studies the robustness of intuitionistic fuzzy connectives in fuzzy reasoning. Starting with an evaluation of the sensitivity in representable fuzzy negations, we apply the results in the intuitionistic (S, N)-implication class and its dual construction. As the main contribution, the paper formally states that the robustness preserves the projection functions in this class and corresponding dual operators.","PeriodicalId":185191,"journal":{"name":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FUZZ-IEEE.2015.7338076","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
This paper studies the robustness of intuitionistic fuzzy connectives in fuzzy reasoning. Starting with an evaluation of the sensitivity in representable fuzzy negations, we apply the results in the intuitionistic (S, N)-implication class and its dual construction. As the main contribution, the paper formally states that the robustness preserves the projection functions in this class and corresponding dual operators.