{"title":"模糊线性规划问题的严格灵敏度分析","authors":"Amit Kumar, Neha Bhtia","doi":"10.5899/2012/JFSVA-00107","DOIUrl":null,"url":null,"abstract":"The fuzzy set theory is being applied massively in many fields these days. One of these is linear programming problems. Upto best of our knowledge, in literature, sensitivity analysis for FVLP (Fuzzy Variable Linear Programming) problem has never been treated using ranking function. In this paper the sensitivity analysis for FVLP problems is studied using ranking function. Purpose is to introduce a simpler and convenient way to tackle the sensitivity analysis for FVLP problems. At the end it is shown that if in a FVLP problem both 'cost' and 'decision variables' are fuzzy numbers, then accuracy upto only rank can be obtained.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Strict Sensitivity Analysis for Fuzzy Linear Programming Problem\",\"authors\":\"Amit Kumar, Neha Bhtia\",\"doi\":\"10.5899/2012/JFSVA-00107\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The fuzzy set theory is being applied massively in many fields these days. One of these is linear programming problems. Upto best of our knowledge, in literature, sensitivity analysis for FVLP (Fuzzy Variable Linear Programming) problem has never been treated using ranking function. In this paper the sensitivity analysis for FVLP problems is studied using ranking function. Purpose is to introduce a simpler and convenient way to tackle the sensitivity analysis for FVLP problems. At the end it is shown that if in a FVLP problem both 'cost' and 'decision variables' are fuzzy numbers, then accuracy upto only rank can be obtained.\",\"PeriodicalId\":308518,\"journal\":{\"name\":\"Journal of Fuzzy Set Valued Analysis\",\"volume\":\"39 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Fuzzy Set Valued Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5899/2012/JFSVA-00107\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Fuzzy Set Valued Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5899/2012/JFSVA-00107","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Strict Sensitivity Analysis for Fuzzy Linear Programming Problem
The fuzzy set theory is being applied massively in many fields these days. One of these is linear programming problems. Upto best of our knowledge, in literature, sensitivity analysis for FVLP (Fuzzy Variable Linear Programming) problem has never been treated using ranking function. In this paper the sensitivity analysis for FVLP problems is studied using ranking function. Purpose is to introduce a simpler and convenient way to tackle the sensitivity analysis for FVLP problems. At the end it is shown that if in a FVLP problem both 'cost' and 'decision variables' are fuzzy numbers, then accuracy upto only rank can be obtained.
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