中北大学学报（自然科学版）2018，Vol.39Issue(4)：380-386,7.DOI:10.3969/j.issn.1673-3193.2018.04.002
模糊线性分式规划的标准型及其最优值区间
The Standard Form of Fuzzy Linear Fractional Programming and Its Optimal Obj ective Value Interval
摘要
Abstract
Aiming at a class of linear fractional programming problems that both obj ective function and constraint conditions had fuzzy coefficients,a new method to solve fuzzy linear fractional programming was proposed by using the optimal approximation interval of fuzzy numbers.Firstly,the standard form and optimal obj ective value interval of fuzzy linear fractional programming were defined,and the prob-lem of fuzzy linear fractional programming was transformed into the linear fractional programming of in-terval based on the optimal approximation interval of fuzzy numbers.Secondly,the linear fractional pro-gramming model with interval coefficients was converted into four deterministic models.Then,the Gil-more-Gomory algorithm was used to solve these four deterministic models.Finally,a numerical example in practical application was given to verify the validity and feasibility of the proposed method.关键词
模糊线性分式规划/区间线性分式规划/最佳逼近区间/最优值区间Key words
fuzzy linear fractional programming/interval linear fractional programming/optimal approx-imation interval/optimal obj ective value interval分类
数理科学引用本文复制引用
吴丽,孙玉华..模糊线性分式规划的标准型及其最优值区间[J].中北大学学报（自然科学版）,2018,39(4):380-386,7.基金项目
国家自然科学基金资助项目(11471010) （11471010）
