Modified 2-tuple Linguistic Neutrosophic Hybrid GRA Framework for Comprehensive Strength Evaluation for High-Quality Development in the Cultural Industry

Abstract

The evaluation of comprehensive strength for the high-quality development of the cultural 
industry is a systematic assessment of the overall performance of the cultural sector across multiple 
dimensions. This evaluation covers aspects such as economic benefits, innovation capacity, social impact, 
cultural influence, and sustainability. By using both quantitative indicators and qualitative analysis, it 
measures the industry's overall competitiveness and growth potential, providing a scientific basis for 
policymaking, resource allocation, and industry optimization. This evaluation system helps promote high
quality and sustainable growth in the cultural industry. The comprehensive strength evaluation for high
quality development in the cultural industry is a multiple-attribute group decision-making (MAGDM) 
approach. In this study, entropy is put forward weight numbers along with 2-tuple linguistic neutrosophic 
sets (2TLNSs), and the 2-tuple linguistic neutrosophic number hybrid grey relational analysis (2TLNN
HGRA) approach is put forward based on grey relational analysis (GRA) and 2TLNSs. Finally, a 
numerical example of comprehensive strength evaluation for high-quality development in the cultural 
industry was put forward and some comparisons are put forward to illustrate the 2TLNN-HGRA approach.

DOI: 10.5281/zenodo.14119973