Theoretical modeling demonstrates algebraic characterizations of soft intersectional modules, suggesting practical utility for multi-parameter constraints in supply chain logistics.
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.
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Üyücü et al. (2026) studied this question.
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