具有模糊系数的模糊线性规划问题

Fuzzy Linear Programming Problems with Fuzzy Coefficients

本文考虑具有模糊系数的模糊线性规划问题中各系数的模糊可能性分布,而用指数(或线性)的隶属函数来描述,然后使用模糊数集上的实值函数,使模糊数在模糊均值的意义下对应于一个实数。借此,将原问题公式化为一个普通线性规划。

In this paper we consider the fuzzy possibility distribution of each coefficient in fuzzy linear programming which contains fuzzy coefficients, and give a description by exponential (or linear) membership function. Then we use the real value function on the set of fuzzy numbers to make the fuzzy coefficient correspond to a real number in the sense of fuzzy'aver-age value'. By means of that,the original problem can be formulated as a conventional linear programming.