Aggregation operators of Pythagorean fuzzy bi-polar soft sets with application in multiple attribute decision making

It is always useful to have information assembled or fused into a single value that represents the whole class of information. Aggregation operators (AOs) play a vital role in combining information. Therefore in this paper, we will investigate the multiple attribute decision-making problems using AOs that are developed in the environment of Pythagorean fuzzy bi-polar soft set (PFBSS). First, the concept of PFBSS is presented which is based on the novel fuzzy bi-polar soft sets (FBSS). We have developed Pythagorean fuzzy bi-polar soft aggregation operators like, Pythagorean fuzzy bi-polar soft- weighted averaging (PFBSWA) operator, Pythagorean fuzzy bi-polar soft-ordered weighted averaging operator (PFBSOW), Pythagorean fuzzy bi-polar soft- weighted geometric (PFBSWG) operator, and Pythagorean fuzzy bi-polar soft-ordered weighted geometric (PFBSOWG) operator. Basic properties of these aggregation operators are studied. Next, we have used these operators to develop some approaches for solving Pythagorean fuzzy bi-polar soft multiple attribute decision-making problems. At the end, a practical example is provided and the stability of the proposed method has been shown by providing the comparative analysis with some existing work.