Attributes Reduct and Optimal Decision Rules Acquisition in Fuzzy Objective Information Systems

Abstract

Definitions of three new types of attributes reducts of objects in fuzzy objective information systems are introduced respectively. The judgment theorems and discernibility functions with respect to these types of reducts are proposed, from which computing methods of attributes reduct of objects can be derived. Based on these reducts, three new types of optimal decision rules are obtained, and the degree of certainty of them are discussed. At last, three kinds of attributes reducts of the systems and their computing methods are given.