Hybrid α-Discounting and Nonstandard Neutrosophic Complex MoBiNad Framework for Digital Media Art Design in Virtual and Augmented Reality Technology

Abstract

This paper introduces a new mathematical method to help artists and designers 
make better decisions when creating digital artworks using Virtual Reality (VR) and 
Augmented Reality (AR). We combine the α-Discounting method (used to solve decision
making problems with conflicting preferences) with the Nonstandard Neutrosophic 
Complex MoBiNad Set (used to represent uncertainty, contradiction, and vagueness). 
This combination allows us to handle the artistic and interactive nature of digital media 
design in a more realistic way. We also use N-norm and N-conorm operators and 
NeutroAlgebraic structures to improve how we model partial truths and unknown 
responses in VR/AR systems. A real case study is presented, where the model helps 
evaluate design elements in an immersive art experience. Full mathematical equations 
and calculations are included to show the method step by step. The results show this 
hybrid model is original, effective, and flexible for supporting decisions in artistic and 
technical digital design. 

DOI: 10.5281/zenodo.15759144