Pythagorean Hamacher fuzzy averaging operators based on intuitionistic fuzzy decision makings

The aim of this paper is to investigate the multiple attribute decision making problems with Pythagorean intuitionistic fuzzy sets(PIFSs)information, in which the sum of the squares of membership and nonmembership is less than one. The information about attribute weights are completely known in advance, an aggregated operator PIFHWA is constructed based on the Hamacher operations, and an additional parameter is involved in the decision process to control the power of discriminating ability. The PIFHWA operator aggregate the PIFNs into the PIFN. Some properties of the operator are discussed. Finally, an example is presented to highlight the procedure of the proposed algorithm, the validity and effectiveness of the proposed approach are testified.