A method for estimating criteria weights from interval-valued intuitionistic fuzzy preference relation

Interval-valued intuitionistic fuzzy preference relation is a useful tool to express decision maker´s interval-valued intuitionistic fuzzy preference information over criteria in the process of multi-criteria decision making. How to derive the priority weights from an interval-valued intuitionistic fuzzy preference relation is an interesting and important issue in decision making with interval-valued intuitionistic fuzzy preference relation(s). In this paper, some new concepts such as interval-valued interval fuzzy sets, interval-valued interval fuzzy preference relation and consistent interval-valued intuitionistic fuzzy preference relation, are defined, and the equivalent interval-valued interval fuzzy preference relation of interval-valued intuitionistic fuzzy preference relation is given. Then a method for estimating criteria weights from interval- valued intuitionistic fuzzy preference relations is developed, two numerical examples are provided to illustrate the developed method.