Neutrosophic Decision Path Algebra: A Novel Framework for Evaluating Graphic Design Quality under Art and Technology Integration

Evaluating graphic design quality presents a multidimensional challenge that involves subjective artistic judgment and objective technological execution. Traditional assessment methods rely on static scoring or binary judgments that fail to capture the dynamic evolution of quality over a design process. This paper introduces a novel mathematical model, the Neutrosophic Decision Path Algebra (NDPA), grounded in the principles of neutrosophic logic. The NDPA framework models the design evaluation process as a dynamic path of decisions, each carrying degrees of truth, indeterminacy, and falsity. The model includes a new algebraic structure for combining, transforming, and collapsing decision paths into a final assessment. The paper further defines multiple quantitative indicators, such as design maturity, stability, and fluctuation, and demonstrates their application to evaluate graphic design projects that integrate art and technology. NDPA enables a more realistic, flexible, and mathematically robust framework for quality evaluation in creative domains.