The optimal interval combination prediction model based on vectorial angle cosine and a new aggregation operator for social security level prediction

Abstract

This paper puts forwards the induced generalized ordered weighted multiple continuous ordered weighted geometric averaging (IGOWMC‐OWGA) operator, which overcomes the deficiency that the ordered weighted geometric averaging (C‐OWGA) operator can only integrate a single interval. Main properties of the proposed operator are investigated. In order to integrate interval data and obtain more accurate prediction results, an optimal model based on IGOWMC‐OWGA operator and vectorial angle cosine is constructed. Finally, the model is applied to an empirical analysis of the moderate measure value of social security level about a certain province in China. The sensitivity and comparisons of results are analyzed which shows that the established model is of good stability and can effectively improve the accuracy of prediction.