Hybrid decision support system disaster management: application of lattice ordered q-rung linear Diophantine fuzzy hypersoft sets

Abstract

The discovery of the lattice-ordered q-rung linear Diophantine fuzzy hypersoft set is a significant extension of fuzzy set theory. This study describes many of its fundamental algebraic operations, such as restricted union, extended union, restricted intersection, OR operation, and AND operation, along with examples. Further, an algorithm based on the proposed operations is presented in this study to handle multi-attributed decision-making problems extremely well, along with an illustrative multi-attribute decision-making example in the area of disaster management, which helps in choosing the most appropriate plan to tackle the known natural disaster by considering a greater number of attributes together. Further, the contribution of the method in the disaster management field is presented in the comparative analysis along with computational efficiency and scalability and an analysis of the comparison between the existing decision-making methods and the proposed one to express the superiority and advantages of the suggested approach over the existing methods. © 2025 Vimala et al.