Interval-valued dual hesitant fuzzy linguistic geometric aggregation operators in multiple attribute decision making

In this paper, we investigate the multiple attribute decision making (MADM) problem based on the geometric aggregation operators with interval-valued dual hesitant fuzzy linguistic information. Then, motivated by the ideal of traditional geometric operation, we have developed some geometric aggregation operators for aggregating interval-valued dual hesitant fuzzy linguistic information: interval-valued dual hesitant fuzzy linguistic weighted geometric (IVDHFLWG) operator, interval-valued dual hesitant fuzzy linguistic ordered weighted geometric (IVDHFLOWG) operator and Interval-valued dual hesitant fuzzy linguistic hybrid geometric (IVDHFLHG) operator. Then, we have utilized these operators to develop some approaches to solve the interval-valued dual hesitant fuzzy linguistic multiple attribute decision making problems. Finally, a practical example for risk evaluation of the logistics outsourcing service providers in the engineering material procurement is given to verify the developed approach and to demonstrate its practicality and effectiveness.