区间粗糙数排序比较仿真及其在物流领域中的应用  

Interval Rough Numbers Ranking Comparison Simulation and Its Application in Logistics Field

作　　者：翁世洲 吕跃进[2,3] WENG Shizhou;LV Yuejin(College of Economics and Management,Guangxi Normal University for Nationalities,Chongzuo Guangxi 532200,China;College of Mathematics and Information Sciences,Guangxi University,Nanning 530004,China;Lushan College,Guangxi University of Science and Technology,Liuzhou Guangxi 545616,China)

机构地区：[1]广西民族师范学院经济与管理学院,广西崇左532200 [2]广西大学数学与信息科学院,南宁530004 [3]广西科技大学鹿山学院,广西柳州545616

出　　处：《海南热带海洋学院学报》2020年第2期56-64,共9页Journal of Hainan Tropical Ocean University

基　　金：国家自然科学基金项目(71361002);广西高校中青年教师基础能力提升项目(2017KY0847)。

摘　　要：区间粗糙数分布类型包括均匀分布、两阶段均匀分布、正态分布、二项分布以及指数分布等,通过MATLAB软件对特定分布类型下的区间粗糙数进行数万次仿真实验,结果表明同一组区间粗糙数在不同的分布假定下会得到不同的排序结果,尤其以二项分布和指数分布最为典型.区间粗糙数排序比较仿真算法被用于物流中心选址问题,得到的结果与其他文献的排序结果一致,表明了该算法的有效性与可行性,避免了基于复杂理论的数学分析和概率求解等问题,使得其推广应用更加方便.Based on the reasonable assumption of the distribution type of interval rough numbers,it is discussed how to associate the interval rough numbers with the parameters of different distribution types,which include uniform distribution,two-stage uniform distribution,normal distribution,binomial distribution,exponential distribution and so on. Through the MATLAB software to generate the interval rough numbers under the specific distribution type,tens of thousands of simulation experiments were carried out. The results showed that the same set of interval rough numbers get different sorting results under different distribution assumptions,especially binomial distribution and exponential distribution. Finally,when the method was applied to the logistics center location problem,consistent with other studies are the obtained results,which show the feasibility and effectiveness of the simulation algorithm,avoiding the problems of mathematical analysis and of probability solution based on complex theory,and making the application more convenient.

关 键 词：区间粗糙数 MATLAB仿真 正态分布 二项分布 指数分布 

分 类 号：O23[理学—运筹学与控制论] TP301[理学—数学]