具有等式约束的模糊整数线性规划的推广

Q3 Economics, Econometrics and Finance

Fuzzy Economic Review Pub Date : 2014-11-01 DOI:10.25102/FER.2014.02.03

Manuel Díaz-Madroñero, J. Mula, M. Jiménez

{"title":"具有等式约束的模糊整数线性规划的推广","authors":"Manuel Díaz-Madroñero, J. Mula, M. Jiménez","doi":"10.25102/FER.2014.02.03","DOIUrl":null,"url":null,"abstract":"Jimenez et al. (2007) propose a method for solving linear programming problems with fuzzy coefficients by using a fuzzy ranking method to rank the fuzzy objective values and to deal with the inequality relation on constraints with decision variables considered to be real numbers. Here, we formulate an extended fuzzy ranking method to deal with equality relations on constraints under integrity conditions by building a fuzzy subset in the integer decision space, whose membership function represents the balance between the feasibility degree of constraints and the satisfaction degree of the goal. A numerical example is used to illustrate our proposal.","PeriodicalId":38703,"journal":{"name":"Fuzzy Economic Review","volume":"19 1","pages":"35-45"},"PeriodicalIF":0.0000,"publicationDate":"2014-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"AN EXTENSION ON FUZZY INTEGER LINEAR PROGRAMMING WITH EQUALITY CONSTRAINS\",\"authors\":\"Manuel Díaz-Madroñero, J. Mula, M. Jiménez\",\"doi\":\"10.25102/FER.2014.02.03\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Jimenez et al. (2007) propose a method for solving linear programming problems with fuzzy coefficients by using a fuzzy ranking method to rank the fuzzy objective values and to deal with the inequality relation on constraints with decision variables considered to be real numbers. Here, we formulate an extended fuzzy ranking method to deal with equality relations on constraints under integrity conditions by building a fuzzy subset in the integer decision space, whose membership function represents the balance between the feasibility degree of constraints and the satisfaction degree of the goal. A numerical example is used to illustrate our proposal.\",\"PeriodicalId\":38703,\"journal\":{\"name\":\"Fuzzy Economic Review\",\"volume\":\"19 1\",\"pages\":\"35-45\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fuzzy Economic Review\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.25102/FER.2014.02.03\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Economics, Econometrics and Finance\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fuzzy Economic Review","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.25102/FER.2014.02.03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Economics, Econometrics and Finance","Score":null,"Total":0}

引用次数: 0

摘要

Jimenez et al.(2007)提出了一种求解模糊系数线性规划问题的方法，采用模糊排序法对模糊目标值进行排序，处理决策变量为实数的约束上的不等式关系。本文通过在整数决策空间中构造一个模糊子集，其隶属度函数表示约束的可行性和目标的满足程度之间的平衡，提出了一种扩展模糊排序方法来处理完整性条件下约束上的相等关系。用一个数值例子来说明我们的建议。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

AN EXTENSION ON FUZZY INTEGER LINEAR PROGRAMMING WITH EQUALITY CONSTRAINS

Jimenez et al. (2007) propose a method for solving linear programming problems with fuzzy coefficients by using a fuzzy ranking method to rank the fuzzy objective values and to deal with the inequality relation on constraints with decision variables considered to be real numbers. Here, we formulate an extended fuzzy ranking method to deal with equality relations on constraints under integrity conditions by building a fuzzy subset in the integer decision space, whose membership function represents the balance between the feasibility degree of constraints and the satisfaction degree of the goal. A numerical example is used to illustrate our proposal.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Fuzzy Economic Review Economics, Econometrics and Finance-Economics and Econometrics

CiteScore

0.40

自引率

0.00%

发文量