Relationships between Rough Set Theory and Dempster-Shafer Theory of Evidence

In rough set theory there exists a pair of approximation operators,the upper and lower approximations,whereas in DempsterShafer theory of evidence there exists a dual pair of uncertainty measures,the plausibility and belief functions.In the present paper,generalizations of the Pawlak approximation space and their induced approximation operators,the upper and lower approximations,are first reviewed.Various generalizations of the Dempster-Shafer belief structure and their induced uncertainty measures,the plausibility and belief functions,are then summarized.The relationships between the rough set theory and the Dempster-Shafer theory of evidence with their potential applications are presented.