Multi-objective genetic algorithm and its applications to flowshop scheduling
Computers and Industrial Engineering
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
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After review of several weight approaches, this paper proposes an interactive preference-weight method for Genetic Algorithm (GA). Decision makers (DMs) can pre-select a few feasible solutions, arrange these sample points based on their binary relations, and then design satisfaction degree ratio as the adaptive feasible regions. Through minimizing the weighted Lp-norm of the most satisfactory and unsatisfactory points, DMs can obtain inaccurate weight information for multi-criterion satisficing optimization in current population, and use it to formulate evaluation function as the preferred optimization direction for Pareto GA. Finally, DMs can acquire the corresponding optimal satisficing solution. The optimization of two-bar plane truss is used as an example to illustrate the proposed method.