{"title":"关于线性区间方程组的凸性","authors":"Yoshihiro Tanaka","doi":"10.1080/00207729508929179","DOIUrl":null,"url":null,"abstract":"A necessary and sufficient condition for a convex solution set to a system of linear interval equations is presented. The relation between the convexity and feasibility of an optimization problem is also discussed. An extended Leontief system is proposed as an application of the results.","PeriodicalId":117558,"journal":{"name":"Economic journal of Hokkaido University","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Convexity of a System of Linear Interval Equations\",\"authors\":\"Yoshihiro Tanaka\",\"doi\":\"10.1080/00207729508929179\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A necessary and sufficient condition for a convex solution set to a system of linear interval equations is presented. The relation between the convexity and feasibility of an optimization problem is also discussed. An extended Leontief system is proposed as an application of the results.\",\"PeriodicalId\":117558,\"journal\":{\"name\":\"Economic journal of Hokkaido University\",\"volume\":\"25 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Economic journal of Hokkaido University\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/00207729508929179\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Economic journal of Hokkaido University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00207729508929179","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Convexity of a System of Linear Interval Equations
A necessary and sufficient condition for a convex solution set to a system of linear interval equations is presented. The relation between the convexity and feasibility of an optimization problem is also discussed. An extended Leontief system is proposed as an application of the results.