Interactive decision making for hierarchical multiobjective fuzzy random programming problems

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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.