Vimala J, Surya A N, Kausar Nasreen, Pamucar Dragan, Kadry Seifedine, Kim Jungeun
Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India.
Department of Mathematics, Faculty of Arts and Science, Balikesir University, Balikesir, Turkey.
PeerJ Comput Sci. 2025 Jun 3;11:e2927. doi: 10.7717/peerj-cs.2927. eCollection 2025.
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.
格序q阶线性丢番图模糊超软集的发现是模糊集理论的一个重要扩展。本研究描述了它的许多基本代数运算，如受限并、扩展并、受限交、或运算和与运算，并给出了示例。此外，本研究提出了一种基于所提出运算的算法，以很好地处理多属性决策问题，以及灾害管理领域的一个说明性多属性决策示例，该示例有助于通过综合考虑更多属性来选择应对已知自然灾害的最合适方案。此外，在比较分析中展示了该方法在灾害管理领域的贡献，以及计算效率和可扩展性，并分析了现有决策方法与所提出方法之间的比较，以表明所建议方法相对于现有方法的优越性和优势。
