Multiple Attribute Decision Making With Interval-Valued Bipolar Fuzzy Information and Their Application to Emerging Technology Commercialization Evaluation

In this paper, we investigate the multiple attribute decision making (MADM) problems with interval-valued bipolar fuzzy sets (IVBFSs). First, the concept, operational laws, score function, and accuracy function of IVBFSs are defined. Then, based on the operational laws, some interval-valued bipolar fuzzy Hamacher aggregation operators are developed for aggregating the interval-valued bipolar fuzzy information. A series of characteristics of aggregation operators is studied. Then, based on these proposed operators, we develop an interval-valued bipolar fuzzy method to solve an uncertainty MADM problem. Finally, an illustrative example for evaluating the emerging technology commercialization is given to verify the developed approach and to demonstrate its practicality and effectiveness.