A Neutrosophic α-Discounting IndetermHyperSoft Framework for Evaluating Agricultural Product Export Trade Quality under Uncertainty

This research presents a novel mathematical framework for evaluating the quality of agricultural export products under conditions of uncertainty and inconsistency. The proposed model integrates Neutrosophic logic, α-Discounting multi-criteria decisionmaking, and IndetermHyperSoft set theory to systematically analyze expert evaluations that contain vague, indeterminate, or conflicting information. In many real-world trade situations, quality assessment data is collected from various authorities, laboratories, or stakeholders, resulting in incomplete or contradictory judgments. Classical decisionmaking approaches fail to address such indeterminacy in a structured and quantitative manner. In this study, we propose an integrated decision matrix that accommodates multi-attribute Neutrosophic evaluations. To strengthen the analysis, three original mathematical indicators are introduced: the α-Neutrosophic Dominance Score, the Neutrosophic Contrast Ratio, and the Neutrosophic Rejection Index. These indicators provide a quantitative basis for ranking, filtering, and validating decision alternatives under uncertain information. The α-Discounting method is used to resolve inconsistencies between preference structures by introducing adaptive parameters that transform unsolvable systems into solvable ones. The model is demonstrated using a comprehensive case study involving the evaluation of mango export quality across multiple criteria and exporting countries. All mathematical formulations, definitions, and calculations are presented in full detail to ensure clarity, reproducibility, and academic rigor.