犹豫模糊软集及其在多属性群决策中的应用

研究了评价值信息为犹豫模糊软集形式的多属性群决策问题。首先介绍了犹豫模糊软集的概念,并讨论了其相关运算及性质。考虑群决策中可能存在各专家权重系数完全未知的情况,定义了犹豫模糊软矩阵及其得分矩阵,并建立基于得分矩阵间关联系数的最优规划模型,以此确定各专家的权重。然后,基于犹豫模糊软集信息,定义了两种集成算子,即犹豫模糊软集算术加权算子和犹豫模糊软集几何加权算子,并利用水平软集工具计算各方案的机会值,得出最优决策。最后,提出一种基于犹豫模糊软集环境下的多属性群决策方法。

Hesitant Fuzzy Soft Sets and Their Application in Multi-attribute Group Decision Making

Multi-attribute group decision making(MAGDM)problems based on the hesitant fuzzy soft set form of evaluation information have been investigated.Firstly,the concept of hesitant fuzzy soft set(HFSS)is introduced,and the related operations and properties are also discussed.For the situation that the information about experts'weights may be completely unknown,the hesitant fuzzy soft matrix(HFSM)and its score matrix are defined,and the programming model based on correlation coefficient of score matrixes is established to determine the optimal weights.Then based on the hesitant fuzzy soft set,the weighted average operator and the weighted geometric operator are defined,and the level soft set tool is used to compute the choice value of objects to obtain the optimal decision.Finally,an approach to MAGDM problems under hesitant fuzzy soft set environment is proposed.