Some Arithmetic Aggregation Operators with Intuitionistic Trapezoidal Fuzzy Numbers and Their Application to Group Decision Making

Methods for aggregating intuitionistic trapezoidal fuzzy information are investigated. Some operational laws of intuitionistic trapezoidal fuzzy numbers are introduced. Based on these operational laws, some aggregation operators, including intuitionistic trapezoidal fuzzy ordered weighted averaging (ITFOWA) operator and intuitionistic trapezoidal fuzzy hybrid aggregation (ITFHA) operator, are proposed. Properties of these intuitionistic trapezoidal fuzzy information aggregation operators are also analyzed. An approach to multiple attribute group decision making (MAGDM) with intuitionistic trapezoidal fuzzy information is developed based on the ITFWAA and the ITFHA operators. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

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