Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Sets and its Application on Multi-Attribute Decision-Making by Using Aggregation Operator Method

Abstract

Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Sets (IVBNHFS) can express complex multi-attribute decision-making (MADM) problems with its interval valued, bipolar, neutrosophic, and hesitant fuzzy elements simultaneously. The two weighted operators, average and geometric, are accustomed aggregation operator method for handling MADM problems. However, we give the Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Weighted Average (IVBNHFWA) and Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Weighted Geometric (IVBNHFWG) operators to aggregate the IVBNHFS and their properties are also discussed in detail. Occasionally, we predestined a MADM method based on the IVBNHFWA and IVBNHFWG operators. Finally, this paper provides an illustrative numerical example of a case study of MADM to authenticate the application and effectiveness of the proposed approaches. Also, we give a comparative study with the existing methods.