一类连续区间数据的有序加权调和(C-OWH)平均算子及其应用

A class of continuous ordered weighted harmonic(C-OWH) averaging operators for interval argument and its applications

有序加权调和平均(OWH)算子是一种对离散性的数据进行集成的方法.本文首先把OWH算子推广到了连续区间上,提出了连续的区间数据OWH(C-OWH)算子,然后在此基础上提出了加权调和的C-OWH算子,有序加权C-OWH算子以及组合的C-OWH算子等新的概念,探讨了它们的一些性质.最后举例说明了这些算子在不确定多属性群决策中的应用,结果表明该方法是可行的.

Ordered weighted harmonic （OWH） averaging operator was a kind of method for aggregating discrete arguments. In this paper, we proposed continuous interval argument OWH （C-OWH） operator for aggregating continuous interval argument on the basis of ordered weighted harmonic averaging operator. Based on C-OWH operator, we proposed some new concepts, such as weighted harmonic C-OWH （WHC-OWH） operator, ordered weighted harmonic averaging C-OWH （OWHC-OWH） operator, combined C-OWH （CC-OWH） operator, and we discussed some properties of these operators. Finally an illustrative example was given to use these operators in the range of uncertain multi-attribute group decision-making. The results showed that the method proposed in this paper was feasible.