Ranking of interval-valued intuitionistic fuzzy sets

Out of several generalizations of fuzzy set theory for various objectives, the notions of intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets are interesting and very useful in modeling real life problems. The ranking of fuzzy numbers was studied by many authors and it was extended to intuitionistic fuzzy sets because of its attraction and applicability. The ranking of interval-valued intuitionistic fuzzy sets plays a vital role in decision-making, data analysis, artificial intelligence and socioeconomic system where the interval analysis is essential. In this paper a new method for ranking interval-valued intuitionistic fuzzy sets has been introduced and compared with other methods by numerical examples. (C) 2011 Elsevier B.V. All rights reserved.