{"title":"多目标优化稳定性的几个问题","authors":"V. V. Kolbin, D. Perestoronin","doi":"10.1109/SCP.2015.7342040","DOIUrl":null,"url":null,"abstract":"This article focuses on the issue of how to study the stability of solutions to a multi-objective optimization problem. Normalization and principle of choice of solutions to a multi-objective optimization problem can be approached in various ways. The concepts of the region of admissibility and scope of optimality are also given into consideration. We consider the ε-stability in the medium multi-objective optimization problem.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"2228 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Several problems of the stability of multi-objective optimization\",\"authors\":\"V. V. Kolbin, D. Perestoronin\",\"doi\":\"10.1109/SCP.2015.7342040\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article focuses on the issue of how to study the stability of solutions to a multi-objective optimization problem. Normalization and principle of choice of solutions to a multi-objective optimization problem can be approached in various ways. The concepts of the region of admissibility and scope of optimality are also given into consideration. We consider the ε-stability in the medium multi-objective optimization problem.\",\"PeriodicalId\":110366,\"journal\":{\"name\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"volume\":\"2228 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SCP.2015.7342040\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCP.2015.7342040","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Several problems of the stability of multi-objective optimization
This article focuses on the issue of how to study the stability of solutions to a multi-objective optimization problem. Normalization and principle of choice of solutions to a multi-objective optimization problem can be approached in various ways. The concepts of the region of admissibility and scope of optimality are also given into consideration. We consider the ε-stability in the medium multi-objective optimization problem.