{"title":"双模糊环境下多目标规划问题的期望值模型","authors":"Mingfa Zheng, Bingjie Li, Guangxing Kou","doi":"10.1109/NCIS.2011.121","DOIUrl":null,"url":null,"abstract":"In this paper, we mainly concern the expected value model and its solution method of the multiobjective programming problem under bifuzzy environment. We first consider the expected value model to the problem, and investigated its convexity. Furthermore, to the proposed model, the concepts of non-inferior solution are defined. According to practical decision-making process, a solution method, called the method of main objective function, has been studied, whose results can facilitate us to design algorithms to the problem.","PeriodicalId":215517,"journal":{"name":"2011 International Conference on Network Computing and Information Security","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The Expected Value Model of Multiobjective Programming Problems under Bifuzzy Environment\",\"authors\":\"Mingfa Zheng, Bingjie Li, Guangxing Kou\",\"doi\":\"10.1109/NCIS.2011.121\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we mainly concern the expected value model and its solution method of the multiobjective programming problem under bifuzzy environment. We first consider the expected value model to the problem, and investigated its convexity. Furthermore, to the proposed model, the concepts of non-inferior solution are defined. According to practical decision-making process, a solution method, called the method of main objective function, has been studied, whose results can facilitate us to design algorithms to the problem.\",\"PeriodicalId\":215517,\"journal\":{\"name\":\"2011 International Conference on Network Computing and Information Security\",\"volume\":\"9 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-05-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 International Conference on Network Computing and Information Security\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/NCIS.2011.121\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 International Conference on Network Computing and Information Security","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NCIS.2011.121","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Expected Value Model of Multiobjective Programming Problems under Bifuzzy Environment
In this paper, we mainly concern the expected value model and its solution method of the multiobjective programming problem under bifuzzy environment. We first consider the expected value model to the problem, and investigated its convexity. Furthermore, to the proposed model, the concepts of non-inferior solution are defined. According to practical decision-making process, a solution method, called the method of main objective function, has been studied, whose results can facilitate us to design algorithms to the problem.