Fuzzy Multiobjective and Multilevel Optimization

摘要: In this chapter, for handling and tackling the imprecise nature of human judgments, multiobjective optimization in a fuzzy environment is discussed. Starting with several basic definitions involving sets, Bellman Zadeh’s approach to decision making environment, called decision, outlined. Fundamental notions methods multiobjective, interactive programming are briefly reviewed. Then linear programming, both incorporating goals maker (DM), explained detail by putting special emphasis on Pareto optimality. Multiobjective problems parameters, which reflect experts’ ambiguous or understanding parameters problem-formulation process, also formulated. By extending usual optimality concepts, decision-making methods, without D M, deriving satisficing solution DM efficiently from an extended optimal set presented. Finally, attention focused two-level method introduced. method, after determining DMs at levels, satisfactory derived updating minimal level upper considerations overall balance between levels. Furthermore, proposed deal parameters.