The Concept of Soft Int-Modules: Structural Characterizations and Logistics Applications

Soft set theory provides useful mathematical tools for handling uncertainties. However, to address simultaneous multi-parameter constraints, a more dynamic intersectional approach is necessary. In this study, we introduce the concept of a soft intersectional module (soft int-module) and utilize level sets to characterize its underlying algebraic structure. Also, by defining soft int-submodules, we investigate whether they are closed under addition and multiplication operations with a soft int-ideal, and their behavior under module homomorphisms. Finally, using soft int-modules, a logistics-based mathematical model is presented to show how it solves simultaneous conditions in a supply chain network.