Relation on Fermatean Neutrosophic Soft Set with Application to Sustainable Agriculture

Abstract

The need for cutting-edge tools for decision-making to address the difficulties of sustainable agriculture is the driving force behind this study. We aim to integrate soft relations into fermatean neutrosophic hypersoft sets, improving the management of uncertainty. Using this approach, we provide a novel Multi-Criteria Decision-Making (MCDM) algorithm that evaluates agricultural techniques holistically by considering environmental, social, and economic variables. We highlight the significance of taking uncertainty into account when making decisions by demonstrating the algorithm’s efficiency in optimizing the choice of agricultural inputs through a real-world case study. Our solution handles such uncertainty better than conventional ways. In the future, we hope to improve the algorithm even further and investigate integrating cutting-edge technology for real-world use in changing agricultural circumstances.