基于时序模糊软集的群决策方法  

Group decision-making method based on time-series fuzzy soft sets

作　　者：毛军军[1,2] 姚登宝[1] 王翠翠[1] 陈华友[1] 

机构地区：[1]安徽大学数学科学学院,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,合肥230039

出　　处：《系统工程理论与实践》2014年第1期182-189,共8页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(71071002);安徽省高等学校省级自然科学研究重点项目(KJ2013A033);安徽大学学术创新团队资助(KJTD001B);安徽大学研究生学术创新项目(yfc100017;yfc100018)

摘　　要：研究了时序模糊软集环境下的群决策问题.针对实际问题中模糊软集信息随时间动态变化的情形,定义了时序模糊软集等概念,并讨论了其相关运算及性质.考虑不同时刻模糊软集信息对最终决策的不同影响,分别从连续和离散时间建立基于指数衰减模型的权重确定公式.然后,利用集成思想定义模糊软集间的运算并给出了算术加权平均算子的计算公式,将时序模糊软集集成为综合模糊软集.利用水平软集等工具计算各对象的机会值,得出最优决策.最后,给出了基于时序模糊软集的群决策途径并通过实例验证了决策方法合理、可行.Group decision-making problems based on time-series fuzzy soft set environment have been investigated. For the situation that fuzzy soft sets information＇s dynamic change as time, the concept of time-series fuzzy soft set is defined, and relative operations and properties have been discussed, too. Considering fuzzy soft sets information of different time has different effect on final decision, the weight determination formulas based on the exponential decay model are given in continuous and discrete time, respectively. Then operations of fuzzy soft sets and the computational formula of the arithmetic weighted average operator have been given with aggregating thought, and the time-series fuzzy soft sets have been aggregated into collective fuzzy soft set. The optimal decision can be obtained by calculating choice value of objects with tools such as the level soft set. Finally, the group decision making approach based on time-series fuzzy soft sets has been proposed and a practical example has been analyzed to verify the reasonability and feasibility of the approach.

关 键 词：群决策 时序模糊软集 指数衰减模型 集成 水平软集 

分 类 号：C934[经济管理—管理学]