将取值为模糊数的随机需求引入报童问题,建立了模糊随机利润模型;给出其模糊期望模型。利用模糊数的符号距离反模糊化方法给出了其模糊期望利润的符号距离函数形式;证明了该函数的凹性,进而获得了订货量的最优性条件。
Continuous random demand valued of fuzzy number was introduced into newsboy problem,and the fuzzy random profit model was formulated.Fuzzy expectation model corresponding to the fuzzy random profit model was presented.By means of the signed distance defuzzification method of fuzzy number,the signed distance estimation function of the fuzzy expectation profit was deduced.Finally,the concave characteristics of the signed distance estimation function were proved so as to obtain the optimal order quantity.