TOPSIS Decision-Making Method for Three Parameters Interval-Valued Fuzzy Sets

Considering the important role of representation element in an interval-valued fuzzy set for decision analysis, the concepts of three parameters interval-valued fuzzy set and three parameters interval-valued fuzzy value are proposed, and some operators on three parameters interval-valued fuzzy values are given, and a new distance between three parameters interval-valued fuzzy values is defined. Based on the proposed distance, a TOPSIS decision-making method is shown for a multicriteria decision-making model on three parameters interval-valued fuzzy sets. Finally, a practical example is provided to illustrate the method's effectiveness.