Fuzzy sets, decision making and expert systems
Fuzzy sets, decision making and expert systems
Linear programming with fuzzy random variable coefficients
Fuzzy Sets and Systems
On fuzzy random linear programming
Fuzzy Sets and Systems
Hierarchical optimization: a satisfactory solution
Fuzzy Sets and Systems
Fuzzy approach for multi-level programming problems
Computers and Operations Research
Interactive fuzzy programming for decentralized two-level linear programming problems
Fuzzy Sets and Systems - Theme: Decision and optimization
Fuzzy Sets and Systems - Special issue: Optimization and decision support systems
Fuzzy Stochastic Multiobjective Programming
Fuzzy Stochastic Multiobjective Programming
Interactive random fuzzy two-level programming through possibility-based probability model
Information Sciences: an International Journal
Hi-index | 12.05 |
This paper considers two-level linear programming problems involving fuzzy random variables under cooperative behavior of the decision makers. Through the introduction of fuzzy goals together with possibility measures, the formulated fuzzy random two-level linear programming problem is transformed into the problem to maximize the satisfaction degree for each fuzzy goal. By adopting probability maximization, the transformed stochastic two-level programming problem can be reduced to a deterministic one. Interactive fuzzy programming to derive a satisfactory solution for the decision maker at the upper level in consideration of the cooperative relation between decision makers is presented. An illustrative numerical example demonstrates the feasibility and efficiency of the proposed method.