Journal of the Egyptian Mathematical Society · 2013 · 25 citations · 39 references
Mathematical ProgrammingEngineeringContinuous OptimizationIntelligent OptimizationOptimization ProblemOptimization ProblemsMixed Integer OptimizationSystems EngineeringMultiobjective ProgrammingInterval-valued ObjectivesConstrained OptimizationAlternative Optimization TechniqueEvolutionary Multimodal OptimizationOperations Research
An alternative optimization technique via multiobjective programming for constrained optimization problems with interval-valued objectives has been proposed. Reduction of interval objective functions to those of noninterval (crisp) one is the main ingredient of the proposed technique. At first, the significance of interval-valued objective functions along with the meaning of interval-valued solutions of the proposed problem has been explained graphically. Generally, the proposed problems have infinitely many compromise solutions. The objective is to obtain one of such solutions with higher accuracy and lower computational effort. Adequate number of numerical examples has been solved in support of this technique.
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On Fuzzy-Mathematical Programming
Hideo Tanaka, Tetsuji Okuda, Kiyoji Asai · Journal of Cybernetics · 1973 · 614 citations