A Novel Pythagorean Neutrosophic Decision-Making Model for Cultural Creative Product Development in Digital Intelligent Manufacturing Environments

Abstract

This paper presents a novel mathematical model based on Pythagorean 
Neutrosophic Sets (PNS) to enhance the development and evaluation process of Cultural 
Creative Products (CCPs) within Digital Intelligent Manufacturing (DIM) systems. 
Existing models for decision-making in product evaluation often lack the capacity to 
handle cultural ambiguity, subjective expert opinions, and technological design 
uncertainty in a unified mathematical framework. Our proposed model addresses this by 
integrating three primary mechanisms: entropy-based objective weighting of product 
attributes, Step-Wise Weight Assessment Ratio Analysis (SWARA)-based subjective 
evaluation from cultural experts, and a structured similarity-to-ideal ranking approach 
inspired by Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS). 
We introduce new entropy and distance functions under the PNS environment, with 
formal definitions, proofs of their validity, and mathematical consistency. The model is 
tested on a real-world case involving digitally fabricated artistic prototypes, 
demonstrating its robustness, flexibility, and precision in prioritizing design alternatives 
based on cultural and manufacturing criteria. Multiple examples and numerical 
validations are provided to verify the correctness of each step. This work provides a 
rigorous, flexible, and interpretable decision-making framework that fills a current gap in 
computational cultural engineering.

DOI: 10.5281/zenodo.16389511