{"title":"Fuzzy-Dominance and Its Application in Evolutionary Many Objective Optimization","authors":"Gaoping Wang, Huawei Jiang","doi":"10.1109/CIS.WORKSHOPS.2007.184","DOIUrl":null,"url":null,"abstract":"This paper studies the fuzzification of the Pareto dominance relation and its application to the design of Evolutionary Many-Objective Optimization algorithms. A generic ranking scheme is presented that assigns dominance degrees to any set of vectors in a scale- independent, nonsymmetric and set-dependent manner. Different fuzzy-based definitions of optimality and dominated solution are introduced. The corresponding extension of the Standard Genetic Algorithm, so-called Fuzzy-Dominance GA (FDGA), will be presented as well. To verify the usefulness of such an approach, the approach is tested on analytical test cases in order to show its validity.","PeriodicalId":409737,"journal":{"name":"2007 International Conference on Computational Intelligence and Security Workshops (CISW 2007)","volume":"61 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"72","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 International Conference on Computational Intelligence and Security Workshops (CISW 2007)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CIS.WORKSHOPS.2007.184","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 72
Abstract
This paper studies the fuzzification of the Pareto dominance relation and its application to the design of Evolutionary Many-Objective Optimization algorithms. A generic ranking scheme is presented that assigns dominance degrees to any set of vectors in a scale- independent, nonsymmetric and set-dependent manner. Different fuzzy-based definitions of optimality and dominated solution are introduced. The corresponding extension of the Standard Genetic Algorithm, so-called Fuzzy-Dominance GA (FDGA), will be presented as well. To verify the usefulness of such an approach, the approach is tested on analytical test cases in order to show its validity.