Bipolar pythagorean neutrosophic hamacher heronian mean operators: a new framework in MCDM

Abstract

This paper introduces the integration of Bipolar Pythagorean Neutrosophic Sets (BPNS) with advanced aggregation operators, namely the Hamacher and Heronian means. These integrations aim to improve the representation and synthesis of decision-making criteria. To this end, a novel framework called the Bipolar Pythagorean Neutrosophic Set-Generalized Hamacher Heronian Mean (BPNS-GHHM) is proposed. The proposed method is shown to satisfy all relevant properties