Department of Mathematics, School of Science, University of Management and Technology, Lahore 54770, Pakistan.
Department of Mathematics, School of Science, University of Management and Technology, Lahore, Sialkot Campus, Pakistan.
Comput Intell Neurosci. 2021 Oct 26;2021:5447422. doi: 10.1155/2021/5447422. eCollection 2021.
Pythagorean fuzzy soft set (PFSS) is the most powerful and effective extension of Pythagorean fuzzy sets (PFS) which deals with the parametrized values of the alternatives. It is also a generalization of intuitionistic fuzzy soft set (IFSS) which provides us better and precise information in the decision-making process comparative to IFSS. The core objective of this work is to construct some algebraic operations for PFSS such as OR-operation, AND-operation, and necessity and possibility operations. Furthermore, some fundamental properties have been established for PFSS utilizing the developed operations. Moreover, a decision-making technique has been offered for PFSS based on a score matrix. To demonstrate the validity of the proposed approach, a numerical example has been presented. Finally, to ensure the practicality of the established approach, a comprehensive comparative analysis has been presented. The obtained results show that our developed approach is most effective and delivers better information comparative to prevailing techniques.
毕达哥拉斯模糊软集 (PFSS) 是毕达哥拉斯模糊集 (PFS) 的最强大和有效的扩展，它处理替代方案的参数化值。它也是直觉模糊软集 (IFSS) 的推广，与 IFSS 相比，它在决策过程中为我们提供了更好、更精确的信息。这项工作的核心目标是为 PFSS 构建一些代数运算，如 OR 运算、AND 运算、必要性和可能性运算。此外，还利用所开发的运算为 PFSS 建立了一些基本性质。此外，还基于评分矩阵为 PFSS 提供了一种决策技术。为了证明所提出方法的有效性，给出了一个数值实例。最后，为了确保所建立方法的实用性，进行了全面的比较分析。所得结果表明，与现有技术相比，我们开发的方法是最有效和提供更好的信息。
