Pythagorean fuzzy set(PFS) can provide more flexibility than intuitionistic fuzzy set(IFS) for handling uncertain information, and PFS has been increasingly used in multi-attribute decision making problems. This paper...Pythagorean fuzzy set(PFS) can provide more flexibility than intuitionistic fuzzy set(IFS) for handling uncertain information, and PFS has been increasingly used in multi-attribute decision making problems. This paper proposes a new multiattribute group decision making method based on Pythagorean uncertain linguistic variable Hamy mean(PULVHM) operator and VIKOR method. Firstly, we define operation rules and a new aggregation operator of Pythagorean uncertain linguistic variable(PULV) and explore some properties of the operator.Secondly, taking the decision makers' hesitation degree into account, a new score function is defined, and we further develop a new group decision making approach integrated with VIKOR method. Finally, an investment example is demonstrated to elaborate the validity of the proposed method. Sensibility analysis and comprehensive comparisons with another two methods are performed to show the stability and advantage of our method.展开更多
针对语义分布不平衡环境下的语义偏好和决策信息的复杂性问题,为提高决策的准确性,提出了一个新型不平衡语言尺度函数.它可通过改变语义偏好参数来调节相邻语义之间的偏差,适用于不同的决策环境,并对相关性质进行了证明.在犹豫不确定语...针对语义分布不平衡环境下的语义偏好和决策信息的复杂性问题,为提高决策的准确性,提出了一个新型不平衡语言尺度函数.它可通过改变语义偏好参数来调节相邻语义之间的偏差,适用于不同的决策环境,并对相关性质进行了证明.在犹豫不确定语言型Z-numbers(hesitant uncertain linguistic Z-numbers,简称HULZNs)的环境下,定义了两个HULZNs之间的距离以及部分运算,建立了优先加权平均运算算子和一种新型多准则群决策模型.最后,对提出的新模型利用实例进行了分析,验证了方法的有效性和可行性.展开更多
基金supported by the National Natural Science Foundation of China(61402260,61473176)Taishan Scholar Project of Shandong Province(TSQN201812092)
文摘Pythagorean fuzzy set(PFS) can provide more flexibility than intuitionistic fuzzy set(IFS) for handling uncertain information, and PFS has been increasingly used in multi-attribute decision making problems. This paper proposes a new multiattribute group decision making method based on Pythagorean uncertain linguistic variable Hamy mean(PULVHM) operator and VIKOR method. Firstly, we define operation rules and a new aggregation operator of Pythagorean uncertain linguistic variable(PULV) and explore some properties of the operator.Secondly, taking the decision makers' hesitation degree into account, a new score function is defined, and we further develop a new group decision making approach integrated with VIKOR method. Finally, an investment example is demonstrated to elaborate the validity of the proposed method. Sensibility analysis and comprehensive comparisons with another two methods are performed to show the stability and advantage of our method.
文摘针对语义分布不平衡环境下的语义偏好和决策信息的复杂性问题,为提高决策的准确性,提出了一个新型不平衡语言尺度函数.它可通过改变语义偏好参数来调节相邻语义之间的偏差,适用于不同的决策环境,并对相关性质进行了证明.在犹豫不确定语言型Z-numbers(hesitant uncertain linguistic Z-numbers,简称HULZNs)的环境下,定义了两个HULZNs之间的距离以及部分运算,建立了优先加权平均运算算子和一种新型多准则群决策模型.最后,对提出的新模型利用实例进行了分析,验证了方法的有效性和可行性.
