Weighted Average Rating (WAR) Method for Solving Group Decision Making Problem Using an Intuitionistic Trapezoidal Fuzzy Hybrid Aggregation (ITFHA) Operator

Intuitionistic Fuzzy numbers each of which is characterized by the degree of membership and the degree of non-membership of an element are a very useful means to depict the decision information in the process of decision making. The aim of this article is to investigate the approach to multiple attribute group decision making with intuitionistic trapezoidal fuzzy numbers, some operational laws of intuitionistic trapezoidal fuzzy numbers are applied. We investigate the group decision making problems in which all the information provided by the decision makers is expressed as decision matrices where each of the elements are characterized by intuitionistic trapezoidal fuzzy numbers and the information about attribute weights are known. We first use the intuitionistic trapezoidal fuzzy hybrid aggregation (ITFHA) operator to aggregate all individual fuzzy decision matrices provided by the decision makers into the collective intuitionistic fuzzy decision matrix. Furthermore, we utilize weighted average rating method and score function to give an approach to ranking the given alternatives and selecting the most desirable one. Finally we give an illustrative example.