A Neutrosophic Triplet Field Model for Assessing Transitional Aesthetic Zones in Computer-Aided Art Design Systems

Abstract

Computer-Aided Art Design (CAAD) systems often produce outputs with 
complex visual transitions that are difficult to evaluate using binary or crisp metrics. 
Traditional quality assessment models fail to represent the uncertainty and partial 
aesthetic impact present in transitional regions areas between visually pleasing and 
visually rejected zones. This paper proposes a novel neutrosophic triplet field model that 
quantifies the aesthetic quality of design outputs using three independent components: 
degree of visual truth (T), perceptual indeterminacy (I), and aesthetic failure (F). The 
model draws on principles from the Neutrosophic Magnetic Field to define spatial zones 
of influence and incorporates a partially-observed field response inspired by 
Neutrosophic Quantum Theory. Mathematical functions define each component across a 
design surface, and several equations are derived to compute zone-specific values. A fully 
calculated case study on a discretized design space demonstrates the model's ability to 
detect and differentiate visually ambiguous zones. Results show the importance of 
transitional zones where indeterminacy peaks as key contributors to nuanced aesthetic 
perception. This model offers a rigorous, quantifiable, and human-relevant framework for 
analyzing artistic quality in CAAD systems.

DOI: 10.5281/zenodo.15825555