基于可能度优势关系的区间序粗糙集模型

摘要

To sovle the deficiencies of five dominance relations in interval ordered systems, a new dominance relation-α-possible degree dominance relation is proposed. The basic properties of α-possible degree dominance relation and the relationships with other dominance relation are analysed. Furthermore, an extended rough set based on α-possible degree dominance relation is defined. The example shows that:by the variety the value of a to adjust the degree of dominance, α-possible degree dominance relation can overcome the deficiencies of former dominance relation in in interval ordered systems.%针对当前区间序信息系统上五种优势关系的不足，提出了一种新的优势关系-α-可能度优势关系。分析了α-可能度优势关系的基本性质以及与其他优势关系的联系，进而定义了基于α-可能度优势关系的扩展粗糙集模型。算例表明，α-可能度优势关系通过α的变化来调节优势关系的“优于”程度，能够克服以往优势关系定义过宽或过窄而带来的不足。