Grey Relational Analysis Framework with 2-Tuple Linguistic Neutrosophic Set for Building Material Supplier Selection

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.

DOI: 10.5281/zenodo.13967918