A filter function method for group multiple-attribute decision-making with incomplete information

The objective of this paper is to construct a filter function for group multiple attribute decision-making problem, which can make full use of the high-quality information and filter the low-quality information to sufficiently embody the will of the group. The paper provides reasonable preference relations of all alternatives by using such preference indexes as consistent domination, strict domination and weak domination. As a result, the paper presents an interactive algorithm for group multi-attribute decision-making problem.