基于时序广义双极值模糊软集的群决策方法  

Group Decision Making Method Based on the Time- series Generalized Bipolar- value Fuzzy Soft Sets

作　　者：胡永瑞[1] 毛军军[1,2] 赵愿[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601 [2]安徽大学计算智能与信号处理教育部重点实验室,安徽合肥230039

出　　处：《佳木斯大学学报（自然科学版）》2014年第5期774-778,共5页Journal of Jiamusi University：Natural Science Edition

基　　金：国家自然科学基金(71371011);安徽省高等学校省级自然科学研究重点项目(KJ2013A033);安徽大学大学生创新创业训练计划项目(201310357121)

摘　　要：研究了时序广义双极值模糊环境下的群决策问题.针对实际问题中广义双极值模糊软集信息随时间动态变化的情形,定义了时序广义双极值模糊软集的概念,并讨论了相关运算及性质.考虑不同时刻广义双极值模糊软集信息对最终决策的不同影响,利用指数衰减模型的权重确定公式和集成思想,定义广义双极值模糊软集间的运算并给出几何加权平均算子的计算公式,将时序广义双极值模糊软集集成综合双极值模糊软集.然后,利用广义双极值模糊软集的集成算子计算各方案的属性值,利用得分函数得出最优决策.最后,通过实例分析证明了此决策方法的合理性与可行性.Group decision-making problems based on time -series generalized bipolar -valued fuzzy soft set environment were investigated .For the situation that generalized bipolar -value fuzzy soft sets information dy-namic changes as time the concept of time -series generalized bipolar -value fuzzy soft sets was defined , and relative operations and properties were discussed , too.Considering generalized bipolar -value fuzzy soft sets in-formation of different time has different effect on final decision , the weight determination formulas were deter-mined based on the exponential decay model .Then operations of generalized bipolar -value fuzzy soft sets and the computational formula of the arithmetic weighted average operator were given with aggregating thought , and time-series generalized bipolar -value fuzzy soft sets were aggregated into collective generalized bipolar -value fuzzy soft sets.Then, the attribute values of every alternative were aggregated with the operator of generalized bi-polar-value fuzzy soft sets.The optimal decision can be obtained by score function .Finally, a practical exam-ple was analyzed to verity the reasonability and feasibility of the approach .

关 键 词：广义双极值模糊软集 群决策 几何加权平均算子 得分函数 

分 类 号：C934[经济管理—管理学]