Attribute reduction in tolerance information systems based on evidence theory
نویسندگان
چکیده
Attribute reduction is one of the most important problems in rough set theory. This paper deals with attribute reduction in tolerance information systems based on Dempster-shafter theory of evidence. The concepts of plausibility consistent set and belief consistent set are introduced in tolerance information systems. Furthermore, relative plausibility reduction and belief reduction are discussed in tolerance systems and it is proved that a plausibility consistent set must be a consistent set. Moreover, it is shown that an attribute set is a belief reduction if and only if it is a classical reduction in tolerance information systems. 2010 AMS Classification: 94D05, 68T37
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