Interactive decision making for hierarchical multiobjective fuzzy random programming problems

本文针对多目标模糊随机规划问题和递阶多目标模糊随机规划问题，提出了四种交互式模糊决策方法，以获得决策者(S)的满意解。在所提出的方法中，假设决策者(S)不仅对概率最大化模型的允许目标水平具有模糊目标，而且对于分数准则优化模型的允许随机水平也具有模糊目标，并通过求出相应的隶属函数来量化这些模糊目标。利用线性规划或凸规划技术可以得到满意的解。

In this paper, we focus on multiobjective fuzzy random programming problems and hierarchical multiobjective fuzzy random programming problems, and propose four kinds of interactive fuzzy decision making methods to obtain a satisfactory solution of the decision maker(s). In the proposed methods, it is assumed that the decision maker(s) has(have) fuzzy goals for not only permissible objective levels of a probability maximization model but also permissible stochastic levels of a fractile criterion optimization model, and such fuzzy goals are quantified by eliciting the corresponding membership functions. The satisfactory solution is obtained on the basis of linear programming or convex programming technique.