基于决策的中性软集和中性软矩阵
Neutrosophic soft sets and neutrosophic soft matrices based on decision making
摘要：
Maji \cite{maj-13}首先提出了一种新的信念系统的概念，即信念系统的模糊软集，它可以处理信念系统中普遍存在的不确定信息和不一致信息。本文首先重新定义了补、并的概念，并与Maji的定义进行了比较。然后，引入了代数软矩阵及其算子的概念，这些算子在代数软集合论中的理论研究中更有作用。该矩阵可用于在计算机内存中存储一个数学软集，这是非常有用和实用的。最后，基于这些矩阵运算，提出了一种有效的求解基于模糊软集的群决策问题的方法NSM-决策。
英文摘要：
Maji\cite{maj-13}, firstly proposed neutrosophic soft sets can handle the indeterminate information and inconsistent information which exists commonly in belief systems. In this paper, we have firstly redefined complement, union and compared our definitions of neutrosophic soft with the definitions given by Maji. Then, we have introduced the concept of neutrosophic soft matrix and their operators which are more functional to make theoretical studies in the neutrosophic soft set theory. The matrix is useful for storing an neutrosophic soft set in computer memory which are very useful and applicable. Finally, based on some of these matrix operations a efficient methodology named as NSM-decision making has been developed to solve neutrosophic soft set based group decision making problems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
