Abstract
The analytic network process framework is investigated to solve multi-criteria decision making problems in interval-valued intuitionistic fuzzy environments. First, a new approximate multiplicative consistent interval-valued intuitionistic fuzzy preference relation is defined, and the equivalent condition of approximate consistency is given by using the chance-constraint programming model of the Me measure. Second, a new method to derive the priorities from the interval-valued intuitionistic fuzzy preference relation is proposed, and the corresponding algorithm flow of the interval-valued intuitionistic fuzzy analytic network process is established. Finally, the feasibility and effectiveness of the interval-valued intuitionistic fuzzy analytic network process are verified by using a numerical example.
Published Version
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