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

Abstract

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 decision
making, 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 decision
making 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. 

DOI: 10.5281/zenodo.15691449