HESITANT PYTHAGOREAN FUZZY SETS AND THEIR AGGREGATION OPERATORS IN MULTIPLE ATTRIBUTE DECISION-MAKING

In this article, a new concept of the hesitant Pythagorean fuzzy sets has been presented by combining the concept of the Pythagorean as well as the Hesitant fuzzy sets. Some of the basic operations laws and their properties have been investigated. Further, we have developed some new weighted averaging and geometric aggregation operators named as hesitant Pythagorean fuzzy weighted average and geometric, ordered weighted average and geometric, hybrid average and geometric with hesitant Pythagorean fuzzy information. The properties of these aggregation operators are investigated. The proposed set is the generalization of the sets of fuzzy, intuitionistic fuzzy, hesitant fuzzy, and Pythagorean fuzzy. Additionally, a multiple-attribute decision-making approach is established based on these operators under hesitant Pythagorean fuzzy environment and an example is given to illustrate the application of it. Finally, we compare the results with the existing methods to show the effectiveness of it.