A New Chance-Constrained Programming with Linear Combination of Possibility Measure and Necessity Measure

摘要：

Based on the possibility measure and necessity measure,mλ-measure is presented and some mathematical properties of mλ-measure are also obtained, including continuity, monotonicity, subadditivity, and so on. Critical values of fuzzy variable with respect to mλ-measure are introduced and are employed to construct the fuzzy chance-constrained programming models. To solve the models, genetic algorithm based on fuzzy simulation is designed. Finally, two numerical examples are given to show applications of the models and algorithm.

关键词： Possibility Measure mλ-Measure ChanceConstrained Programming Fuzzy Simulation Genetic Algorithm

作者: Lixing Yang Kakuzo Iwamura

作者单位: State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing, 10004 Department of Mathematics, Josai University, Japan

会议类型: 国际会议

会议名称: 第一届中国智能计算大会

会议地点: 江西庐山

会议语种:英文

页码: 144-152

在线出版日期: 2007-10-10（万方平台首次上网日期，不代表论文的发表时间）