A Novel Multi-criteria Decision Making Approach Using Trapezoidal Intuitionistic Fuzzy Number

The arrangement fuzzy number, either in ascending or descending order, is utmost significant in optimization modeling, decision making and also in ranking fuzzy numbers. As a generalization of the fuzzy number, ranking is more difficult due to the fact that Trapezoidal Intuitionistic Fuzzy Number (TrIFNs) is a popular and specific intuitionistic fuzzy set, which is defined on the set of real number. So far, several methods to rank simple fuzzy numbers, have already been proposed by different researchers, there is a dearth of having effectual methods to rank Intuitionistic Fuzzy Numbers (IFNs) in the literature. The paper focusses on developing a new methodology for ranking TrIFNs based on the thought of a ratio of the value index to the ambiguity index. The superiority and effectiveness of the ranking method, proposed in this paper, is assessed by illustrating a criteria based numerical problem and also by comparing it with an existing similar method.