拟广义加权引致OWA算子及其应用

Quasi Generalized Weighted Induced OWA Operators and the Application

研究拟广义加权引致有序加权平均算子及其应用.首先把拟广义思想引入加权引致有序加权平均算子,给出拟广义加权引致有序加权平均算子的概念.并分析其具有的单调性、幂等性、有界性、置换不变性等性质.提出了基于拟广义加权引致有序加权平均算子的决策方法,并给出了具体算例分析说明决策方法的有效性和合理性.

This paper studies quasi generalized weighted induced ordered weighted averaging operators and the application.Firstly,the thought of quasi generalized and weighted induced ordered averaging operators are united organically,and the concept is proposed.Secondly,the properties of monotonicity,idempotency,boundedness,and permutation invariance are analyzed.Finally,A decision-making method based on quasi generalized weighted induced ordered weighted average operator is proposed,and a specific example is given to illustrate the effectiveness and rationality of the method.