【摘要】 在分析基于相容关系、非对称相似关系和限制容差关系的粗糙集扩展模型基础上,提出对称相似关系及其粗糙集扩展模型,并讨论其性质.这种扩展模型是其他几种扩展模型的改进,能较好地解决相容关系和限制容差关系条件的过于宽松以及非对称相似关系条件过于严格的问题.该模型的粗糙性介于相容关系与非对称相似关系的粗糙集扩展模型的粗糙性之间.更多还原

【Abstract】 Symmetric similarity relation and its rough set extension model which based on the rough set extension model of tolerance relation,non-symmetric similarity relation and limited tolerance relation are,proposed and its characters are discussed.The symmetric-similarity-relation-based rough set extension model improves the other extension models,and can solve the problems that the conditions of tolerance relation and limited tolerance relation are excessively free and conditions of non-symmetric similarity relation are too stern.The roughness of this model is less than or equals that of the tolerance relation-based model,and is more than or equals roughness of the non-symmetrical similarity relation-based model.更多还原