The novel models for interval-valued intuitionistic fuzzy multiple attribute decision making with correlative weight information

Abstract

In this paper, we first introduce some operations on the interval-valued intuitionistic fuzzy sets, such as Hamacher sum, Hamacher product, etc., and further develop the interval-valued intuitionistic fuzzy Hamacher correlated geometric (IVIFHCG) operator. The prominent characteristic of the operators is that they can not only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered positions. We have applied the IVIFHCG operators to multiple attribute decision making with interval-valued intuitionistic fuzzy information. Finally an illustrative example for evaluating the digital image quality has been given to show the developed method.