An Approach based on TOPSIS for Interval Type-2 Fuzzy Multiple Attributes Decision-making

The type-2 fuzzy sets (T2FSs) provide us additional degrees of freedom to represent the uncertainty and the fuzziness of the real world. As a special kind of T2FSs, interval type-2 fuzzy sets (IT2FSs), whose operations are much simpler than the ones of general T2FSs. So the research of IT2FSs has become a hot topic in decision-making field in recent years. In this paper, firstly, we introduce the operational laws of IT2FSs, and propose a distance measure of IT2FSs. Secondly, we present a novel approach for handling multiple attributes decision-making problems with IT2FSs, on base of the idea of Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). The method proposed is more practical and flexible because it not only consider the importance weights, but also reflect the decision strategies that both are essential to different decision makers for choosing different decision tactics. Finally, a numerical example of service quality assessment is used to verify the effectiveness of the presented approach.