单值中智软集及其相关性质

摘要

This paper is motivated by the need for further enriching the theory of soft set and exten-ding its scope of application.The research involves producing the single valued neutrosophic soft set by an effective combination of the soft set and the neutrosophic set;defining the related operations and prop-erties;and proving the theorems underlying the complement law,dual law, and distributive laws based on the above operation definition.The study provides not only an improvement on the theory of the single valued neutrosophic soft set,but also a new tool for the application of the soft set in the decision-making field.%为进一步丰富软集理论并扩展其适用范围,将软集和中智集有效结合,提出了单值中智软集的概念,给出了相关运算及性质,并证明了基于上述运算定义所得到的结合律、对偶律、分配律等定理.该研究不仅完善了中智集理论,也为软集在决策领域上的应用提供了新工具.