Research Based On Fuzzy Preference Relation In Interval And Set-valued Information Systems

In this paper, interval and set-valued information system is considered as the main discuss object, the fuzzy set theory and rough set theory are viewed as the main tools. Uncertainty of interval and set-valued information systems and inconsistency of interval and set-valued decision information systems are studied based on fuzzy preference relation. Moreover, the specific oper-ation methods of knowledge reduction for interval and set-valued decision information systems are proposed.· A fuzzy preference relation is introduced for interval and set-valued information systems. Based on the fuzzy preference relation, the concepts of fuzzy information entropy, fuzzy rough entropy, fuzzy knowledge granulation and fuzzy granularity measure of interval and set-valued information systems are studied and relationships between entropy measures and granularity measures are investigated. Moreover, the concept of consistency measure of interval and set-valued decision information systems is proposed and relationship between consistency measure and inclusion degree is investigated.· The concepts of fuzzy positive region, discernibility matrix and fuzzy conditional entropy for interval and set-valued decision information systems based on fuzzy preference relation are introduced and the specific operation methods of knowledge reduction for interval and set-valued decision information systems are proposed. Moreover, the illustrative examples are given to substantiate the theoretical arguments.· The evidence theory is introduced in interval and set-valued decision information systems based on fuzzy preference relation, and the approach to attribute reduction in interval and set-valued decision information systems based on evidence theory is discussed.