Constrained Multiobjective Optimization Immune Algorithm: Convergence and Application
Computers & Mathematics with Applications
Immune optimization algorithm for constrained nonlinear multiobjective optimization problems
Applied Soft Computing
A New Schema Survival and Construction Theory for One-Point Crossover
Computational Intelligence and Security
Expert Systems with Applications: An International Journal
Multiobjective optimization problems with complicated Pareto sets, MOEA/D and NSGA-II
IEEE Transactions on Evolutionary Computation
The multiobjective evolutionary algorithm based on determined weight and sub-regional search
CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
A clustering multi-objective evolutionary algorithm based on orthogonal and uniform design
CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
Multiobjective Constriction Particle Swarm Optimization and Its Performance Evaluation
ICIC '07 Proceedings of the 3rd International Conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence
A Novel Hybrid Particle Swarm Optimization for Multi-Objective Problems
AICI '09 Proceedings of the International Conference on Artificial Intelligence and Computational Intelligence
Expert Systems with Applications: An International Journal
Reducing the probability of bankruptcy through supply chain coordination
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
A multi-criteria optimization framework for industrial shop scheduling using fuzzy set theory
Integrated Computer-Aided Engineering
ISICA'10 Proceedings of the 5th international conference on Advances in computation and intelligence
Ectropy of diversity measures for populations in Euclidean space
Information Sciences: an International Journal
Operational causes of bankruptcy propagation in supply chain
Decision Support Systems
ICNC'06 Proceedings of the Second international conference on Advances in Natural Computation - Volume Part I
An adaptive multi-objective particle swarm optimization for color image fusion
SEAL'06 Proceedings of the 6th international conference on Simulated Evolution And Learning
Global optimization algorithms using fourier smoothing
ICIC'06 Proceedings of the 2006 international conference on Intelligent Computing - Volume Part I
Improving multiobjective evolutionary algorithm by adaptive fitness and space division
ICNC'05 Proceedings of the First international conference on Advances in Natural Computation - Volume Part III
Multi-objective optimization of QCA circuits with multiple outputs using genetic programming
Genetic Programming and Evolvable Machines
Integrated Computer-Aided Engineering
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The notion of Pareto-optimality is one of the major approaches to multiobjective programming. While it is desirable to find more Pareto-optimal solutions, it is also desirable to find the ones scattered uniformly over the Pareto frontier in order to provide a variety of compromise solutions to the decision maker. We design a genetic algorithm for this purpose. We compose multiple fitness functions to guide the search, where each fitness function is equal to a weighted sum of the normalized objective functions and we apply an experimental design method called uniform design to select the weights. As a result, the search directions guided by these fitness functions are scattered uniformly toward the Pareto frontier in the objective space. With multiple fitness functions, we design a selection scheme to maintain a good and diverse population. In addition, we apply the uniform design to generate a good initial population and design a new crossover operator for searching the Pareto-optimal solutions. The numerical results demonstrate that the proposed algorithm can find the Pareto-optimal solutions scattered uniformly over the Pareto frontier.