In this work we introduce a method for constructing linear orders between pairs of intervals by using aggregation functions. We adapt this method to the case of interval-valued Atanassov intuitionistic fuzzy sets and we apply these sets and the considered orders to a decision making problem.The work has been supported by projects TIN2013-40765-P and MTM2012-37894-C02-02 of the Spanish Ministry of Science and the Research Services of the Universidad Publica de Navarra
1 February 2002 in Journal of Mathematical Economics