Approach to the consistency and consensus of Pythagorean fuzzy preference relations based on their partial orders in group decision making

Although intuitionistic fuzzy preference relations have become powerful techniques to express the decision makers' information over alternatives or criteria in group making, some limitations of them are pointed out this paper, then they overcame by developed making with Pythagorean (PFPRs). Specially, we provide a partial order on set all PFPRs, based which, deviation measure is defined. Then, check and reach acceptably multiplicative consistency consensus PFPRs associated mathematical programming. Concretely, consistent PRPRs defined between given PFPR constructed normal priority vector. Then acceptable collection each aggregated result from symmetrical aggregation operators. Based method which can simultaneously modify unacceptable stepwise way provided. Particularly, also prove that collective obtained aggregating several individual various symmetric operators still consistent. procedure provided solve numerical example illustrate effectiveness our method.