一种基于单值中智集的多属性群体决策方法

Multiple Attribute Group Decision Making Method Based on Single Valued Neutrosophic Sets

针对属性权重未知,属性值为单值中智数的多属性决策问题,提出了一种基于中智熵和广义单值中智算子的群体决策方法。先是利用中智熵求出属性权重,然后提出3种广义单值中智算子:广义单值中智加权平均(GSNWA)算子、广义单值中智有序加权平均(GSNOWA)算子和广义单值中智混合平均(GSNHA)算子,再利用GSNWA和GSNHA算子来集结信息得到方案综合评价值,并通过相似度测度对方案进行排序选优。最后,通过一个算例说明了该决策方法的有效性和合理性。

For multiple attribute group decision-making problem,in which the attribute weights are unknown,and the attribute values of alternatives are in the form of single valued neutrosophic number,this paper proposes a group decision making method based on entropy of neutrosophic sets and generalized single valued neutrosophic operators.First,the attribute weights are obtained by using the entropy of neutrosophic sets.Then three generalized single valued neutrosophic operators are introduced,including the generalized single valued neutrosophic weighted averaging(GSNWA)operator,the generalized single valued neutrosophic ordered weighted averaging(GSNOWA)operator and the generalized single valued neutrosophic hybrid averaging(GSNHA)operators,and the GSNWA and GSNHA operator are used to aggregate information.Furthermore,using similarity measures to sort the alternatives and obtain the best alternative.Finally,an illustrative example is given to demonstrate the feasibility and effectiveness of the developed method.