Abstract
In this paper, we expended the concept of neutrosophic sets (NS) by introducing the idea α, β, γ - neutrosophic set (α, β, γ - NS). The existing models under conventional NSs, fail to adequately address the management of membership degree influence during the aggregation process. While the proposed framework manages the influence of membership degree (MD), indeterminacy membership degree (IMD), and non-membership degree (NMD) by incorporating parameters α, β, and γ. Furthermore, we defined some fundamental operational laws for α, β, γ - NSs and introduced a series of aggregation operators (AOs) to effectively combine α, β, γ - neutrosophic information. Based on these AOs, a new Multiple Criteria Decision Making (MCDM) model is proposed for solving real-life decision-making (DM) challenges. An illustrative case study is presented to showcase the effectiveness of the proposed model in selecting an optimal location for a software office. The article concludes by validating the proposed model's authenticity and effectiveness through a comparative analysis with existing approaches.