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Neutrosophic Sets and Systems

Authors

Cheng Yang

Abstract

Choosing building materials suppliers is crucial as it directly affects the quality, cost, and timeline of a project. Quality suppliers ensure the reliability and consistency of materials, reducing construction risks. The right suppliers offer competitive pricing and flexible delivery schedules, helping control budgets and optimize resource use. Additionally, suppliers' professional support and technical services can enhance construction efficiency and quality. By carefully selecting suppliers, project teams can establish long-term partnerships, improving overall construction standards and market competitiveness. Thus, supplier selection is a key factor in the success of construction projects. The process of selecting and applying building material suppliers (BMSs) is a multiple-attribute group decision-making (MAGDM) method. This study constructs the 2-tuple linguistic neutrosophic number combined grey relational analysis (2TLNN-CGRA) approach, which integrates the grey relational analysis (GRA) and 2-tuple linguistic neutrosophic sets (2TLNNSs). To validate the method, a numerical example for building material supplier selection is provided, accompanied by comparative studies to highlight the effectiveness of the 2TLNN-CGRA approach. The key contributions of this research include (1) the utilization of the 2TLNN-CGRA approach to address MAGDM under 2TLNSs conditions; (2) the incorporation of both 2TLNN Hamming distance (2TLNNHD) and 2TLNN Euclidean distance (2TLNNED) within the 2TLNSs framework in the 2TLNN-CGRA approach; (3) the demonstration of the method through a numerical example for supplier selection; and (4) a series of efficient comparisons with other existing decision-making approaches.

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