【摘要】 篮球比赛瞬息万变,如何根据运动员的进攻能力、防守能力以及比赛的具体形势来制定 合理的运动员出场阵容成为了篮球比赛决定胜负的关键问题。将模糊数学和多目标优化引入到 这一问题中,提出运动员出场阵容的模糊多目标优化模型。该模型在采用RSR综合评价法对运 动员进攻能力和防守能力进行准确评定的基础上,建立起球队进攻能力最大和防守能力最大两 个模糊目标,并依据比赛的具体形势以及对球队进攻能力和防守能力的要求来决定模糊目标的 隶属度函数,实现了运动员客观的篮球比赛能力和教练员主观判断能力的有机结合,从而确定 出科学、合理的运动员最佳出场阵容。对休斯顿火箭队运动员出场阵容的成功应用验证了模糊 多目标优化模型的有效性和合理性。更多还原

【Abstract】 The condition of basketball competition is changing very quickly, how to set up rational plan for player’s lineup based on their attack and defensive ability is the key problem to decide the winning and losing in basketball competition. Fuzzy mathematics and multi-objective optimization are introduced to solve this problem and optimization model are established. Based on accurate assessment of player’s attack and defensive ability by using the RSR comprehensive evaluation method, two fuzzy objectives of maximizing attack and defensive ability are established. According to the competition situation and demand of attack and defensive ability their membership functions are determined. Thus, player’s objective competition ability is integrated into the coach’s subjective judgment. The scientific and rational optimal player lineup is achieved. The successful application to player lineup of Houston Rockets shows the validity and rationality of this fuzzy multi-objective optimization model.更多还原