{"title":"模糊数线性规划的参数化研究","authors":"Yanling Jia, Yan Yang, Yihua Zhong","doi":"10.1109/CIS.2013.78","DOIUrl":null,"url":null,"abstract":"This paper is devoted to show the effect of the continuous variational parameter in the objective function coefficients on the optimum solution, which is an extension of the sensitivity analysis of fuzzy number linear programming. We prove that if the parameter is in a certain range, this problem has a unique optimal solution, otherwise it has non-unique optimal solutions or is unbounded or infeasible. Then, the optimal value function is a fuzzy linear function of the parameter. Finally, numerical examples demonstrate the theorem and illustrate the computational procedure.","PeriodicalId":294223,"journal":{"name":"2013 Ninth International Conference on Computational Intelligence and Security","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Parametric Study of Fuzzy Number Linear Programming\",\"authors\":\"Yanling Jia, Yan Yang, Yihua Zhong\",\"doi\":\"10.1109/CIS.2013.78\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is devoted to show the effect of the continuous variational parameter in the objective function coefficients on the optimum solution, which is an extension of the sensitivity analysis of fuzzy number linear programming. We prove that if the parameter is in a certain range, this problem has a unique optimal solution, otherwise it has non-unique optimal solutions or is unbounded or infeasible. Then, the optimal value function is a fuzzy linear function of the parameter. Finally, numerical examples demonstrate the theorem and illustrate the computational procedure.\",\"PeriodicalId\":294223,\"journal\":{\"name\":\"2013 Ninth International Conference on Computational Intelligence and Security\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-12-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 Ninth International Conference on Computational Intelligence and Security\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CIS.2013.78\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 Ninth International Conference on Computational Intelligence and Security","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CIS.2013.78","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Parametric Study of Fuzzy Number Linear Programming
This paper is devoted to show the effect of the continuous variational parameter in the objective function coefficients on the optimum solution, which is an extension of the sensitivity analysis of fuzzy number linear programming. We prove that if the parameter is in a certain range, this problem has a unique optimal solution, otherwise it has non-unique optimal solutions or is unbounded or infeasible. Then, the optimal value function is a fuzzy linear function of the parameter. Finally, numerical examples demonstrate the theorem and illustrate the computational procedure.
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