A comparative study of belief and plausibility reduc#x00ED;s in information systems with fuzzy decisions

摘要

Knowledge reduction is one of the main problems in the study of rough set theory. This paper deals with attribute reduction in complete information systems with fuzzy decisions. The concepts of lower approximation reducts, upper approximation reducís, belief reducís, and plausibility reducts in information systems with fuzzy decisions are introduced and their relationships are examined. It is shown that, in a complete information system with fuzzy decisions, an attribute set is a belief reduct (a plausibility reduct, respectively) if and only if it is a lower approximation reduct (an upper approximation reduct, respectively).