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Using the interval-valued intuitionistic fuzzy point operators, we can reduce the degree of uncertainty of the elements in a universe corresponding to an interval-valued intuitionistic fuzzy set. Then, we define an evaluation function for the decision-making problem to measure the degrees to which alternatives satisfy and do not satisfy the decision-maker's requirement. Furthermore, a series of new score functions are defined for multi-criteria decision making problem based on the interval-valued intuitionistic fuzzy point operators and the evaluation function and their effectiveness and advantage are illustrated by examples. <\/jats:p>","DOI":"10.1142\/s0218488514500238","type":"journal-article","created":{"date-parts":[[2014,6,16]],"date-time":"2014-06-16T19:24:25Z","timestamp":1402946665000},"page":"469-488","source":"Crossref","is-referenced-by-count":15,"title":["Multi-Criteria Decision Making Methods Based on Interval-Valued Intuitionistic Fuzzy Sets"],"prefix":"10.1142","volume":"22","author":[{"given":"Chunqiao","family":"Tan","sequence":"first","affiliation":[{"name":"School of Business, Central South University, Changsha, 410083, P.R. China"}]},{"given":"Benjiang","family":"Ma","sequence":"additional","affiliation":[{"name":"School of Business, Central South University, Changsha, 410083, P.R. China"}]},{"given":"Desheng Dash","family":"Wu","sequence":"additional","affiliation":[{"name":"Riskleb, University of Toronto, 1 Spadina Crescent, Room 205, Toronto, ON, Canada M5S 3G3, Canada"}]},{"given":"Xiaohong","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Business, Central South University, Changsha, 410083, P.R. 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