基于Yager法的随机模糊自由分布报童模型

Random-Fuzzy Distribution-Free Newsboy Model Based on Yager Method

研究了基于随机模糊需求的自由分布报童问题,并建立了相应的数学模型.利用Yager法,将模糊的目标函数逆模糊化为实值目标函数,进而寻求模型最优解,同时说明所建模型是对传统的自由分布报童问题的一种扩展.最后,通过数字实例,对上述两种报童模型的最优解进行了比较,并且分析了需求的模糊性对所建模型最优解的影响.

This paper studies the distribution-free newsboy problem based on random-fuzzy demand and sets up the corresponding mathematic model.We defuzzify the fuzzy objective function into the real one by Yager method and obtain the unique optimal solution.We prove that our model is the extension of the traditional distribution-free newsboy problem.Finally,through some numerical examples,this paper compares the optimal solution of our model with the one of the classic distribution-free newsboy model and analyzes the impact of the demand＇s random-fuzziness on the optimal solution.