Hybrid Fuzzy Multiple Attribute Decision Making

In this paper, we investigate the fuzzy multi-attribute decision making problems in which the information provided by the decision maker is expressed as the hybrid fuzzy decision matrix where each of the elements is expressed by intuitionistic fuzzy number, interval-valued intuitionistic fuzzy number and fuzzy linguistic labels. By using the transformation relationships of fuzzy linguistic labels and triangular fuzzy numbers, we first change the fuzzy linguistic labels in the hybrid fuzzy decision matrix into the corresponding triangular fuzzy numbers, and then define the hybrid fuzzy ideal solution (HFIS) and the hybrid fuzzy negative ideal solution (HFNIS). Based on the HFNIS, the HFNIS and some distance measures, we propose a simple and straightforward method to rank and select the given alternatives. Finally we illustrate the method with a practical example.