基于二型模糊集理论的应急设施选址方法

Emergency facility location method based on type-2 fuzzy set theory

为了研究应急管理中的应急设施选址问题,在传统选址方法基础上,提出了一种基于二型模糊集理论的应急设施选址方法,以区域人口密度量化应急资源需求程度,构建选址集最大覆盖模型.由于人口的流动性,采用二型模糊变量描述人口密度信息,二型模糊变量可提供不确定性建模额外的自由度.在置信度理论框架下,将原模糊模型转化为其等价确定性模型.针对模型中大规模复杂高维的空间地理数据,设计了一种基于网格空间表示法的矩阵编码策略与遗传算法耦合进行模型求解.研究表明:矩阵编码策略可以有效避免维数灾难,并且能够显著提升求解效率,所提方法可以提供合理的应急设施选址决策,以提升突发事件应急管理水平.

To study the emergency facility location problem in emergency management,based on the traditional location method,an emergency facility location method based on type-2 fuzzy set theory is proposed,and the maximum coverage location model is constructed by quantifying the emergency resource demand degree with the regional population density.Due to the population mobility,the type-2 fuzzy variable is used to describe the uncertain population density,which provides additional degrees of freedom for modeling uncertainty.Under the framework of confidence measure,the original fuzzy model is transformed into its equivalent deterministic model.To cope with the large-scale and high-dimensional spatial data,a matrix encoding scheme incorporating mesh-based spatial representation is coupled with genetic algorithm for model solving.Experimental results indicate that the proposed encoding scheme can effectively avoid dimension disaster,and can significantly improve the efficiency of solving the geographic optimization problems.The proposed method can provide reasonable location decisions,which has the potential to improve the efficiency and effectiveness of emergency management.