Abstract:

It is too strict to deal with the problems of information fusion and decision-making by using single valued neutrosophic relations in single valued neutrosophic set. The inclusion degree of single valued neutrosophic set is put forward by combining single valued neutrosophic set and the inclusion degree of set, the attribute reduction model of single valued neutrosophic decision information system is established. The single valued neutrosophic decision information system is defined, and the definition of inclusion degree and two calculation formulas of single valued neutrosophic set are given. The single valued neutrosophic rough set model is proposed. The algorithm for attributes reduction of single valued neutrosophic decision information system is given, and an example is provided to illustrate the effectiveness of the algorithm.

Key words: single valued neutrosophic set, inclusion degree, rough set, attribute reduction

摘要：

针对单值中智集利用单值中智关系处理信息融合问题、决策问题时过于严格。文中结合单值中智集和集合包含度关系，提出了单值中智集的包含度，并建立了单值中智决策信息系统的属性约简模型。定义了单值中智决策信息系统，给出了单值中智集的包含度定义和两种计算公式。提出了单值中智粗糙集模型，并讨论了其相关性质。给出求解单值中智决策信息系统属性约简的算法，并以例子说明算法的有效性。

关键词: 单值中智集, 包含度, 粗糙集, 属性约简