基于动态双极值模糊软集的群决策方法  

Group decision making method based on dynamic bipolar-value fuzzy soft sets

作　　者：钱庆庆[1] 吴涛[1,2] 赵妍[1] 赵蓝天 

机构地区：[1]安徽大学数学科学学院,合肥230039 [2]安徽大学计算智能与信号处理教育部重点实验室,合肥230039

出　　处：《计算机工程与应用》2014年第12期38-41,76,共5页Computer Engineering and Applications

基　　金：国家自然科学基金(No.61073117);安徽大学学术创新团队资助(No.KJTD001B)

摘　　要：针对实际问题中双极值模糊软集随时间变化的影响,定义了动态双极值模糊软集等概念,讨论了相关运算及性质。根据时间权重符合对数增长模型得到权重确定公式。利用集成思想定义双极值模糊软集的运算并给出几何加权平均算子的计算公式,将动态双极值模糊软集集成为综合双极值模糊软集。利用水平软集算出各对象的机会值,得出最优决策。通过实例分析证明此决策方法的合理性与可行性。For the situation that bipolar-value fuzzy soft sets information changes with time, the concept of dynamic bipolar-value fuzzy soft set is defined, and relative operations and properties have been discussed, too. The weight determination formulas are obtained based on the logarithmic growth model. Then operation of bipolar-value fuzzy soft sets is defined with aggregation thought and the computational formula of the geometric weighted average operator has been given, and dynamic bipolar-value fuzzy soft sets have been aggregated into collective bipolar-value fuzzy soft set. The optimal deci-sion can be obtained by calculating choice value of objects with the level soft set. A practical example has been analyzed to verify the reasonability and feasibility of the approach.

关 键 词：群决策 动态双极值模糊软集 对数增长模型 几何加权平均算子 水平软集 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]