Some Geometric Aggregation Operators Based on Interval-Valued Intuitionistic Fuzzy Sets and their Application to Group Decision Making

Methods for aggregating interval-valued intuitionistic fuzzy information are investigated. Some operational laws of interval-valued intuitionistic fuzzy numbers, score function and accuracy function of interval-valued intuitionistic fuzzy numbers are intriduced. Based on these operational laws, some aggregation operators, including interval-valued intuitionistic fuzzy ordered weighted geometric aggregation (IIFOWGA) operator and interval-valued intuitionistic fuzzy hybrid geometric aggregation (IIFHGA) operator, are proposed. An approach to multiple attribute group decision making (MAGDM) with interval-valued intuitionistic fuzzy information is developed based on the IIFWGA and the IIFHGA operators. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.