连续区间直觉乘法集结算子及其在群决策中的应用

Continuous interval-valued intuitionistic multiplicative aggregation operators and their application to group decision making

基于连续有序加权几何(C-OWG)算子提出了连续区间直觉乘法有序加权几何(C-IVIMOWG)算子,然后基于C-IVIMOWG算子提出新的区间直觉乘法数序关系判断准则。为了集结区间直觉乘法数组,提出了加权连续区间直觉乘法有序加权几何(WC-IVIMOWG)算子,研究了其基本性质,并提出了基于WC-IVIMOWG算子与兼容测度的群决策方法。最后,通过实例分析来说明WC-IVIMOWG算子应用于群决策中的有效性和适用性。

This paper defined a novel aggregation operator, which was called the continuous interval-valued intuitionistic multipllcative ordered weighted geometric （C-IVIMOWG） operator. It developed a new comparison laws for interval-valued intuitionistic multiplicative numbers based on the C-IVIMOWG operator and proposed a weighted C-IVIMOWG （WC-IVIMOWG） operator to aggregate a collection of interval-valued intuitionistic muhiplicative numbers. Moreover, this paper investigated some desirable properties of the WC-IVIMOWG operator, and also presented a new approach on the basis of WC-IVIMOWG operator and compatibility measures. Finally, it provided a numerical example to demonstrate the application of WC-IVIMOWG operator in the context of group decision making.