Function Set-Valued Information Systems

Abstract

Set-valued Information System (SIS) aims at dealing with attributes' multi-values. It is an extension of the single-valued information system. In traditional SIS, the tolerance and dominance relations were introduced to deal with the relationship between objects. But the partial orders between the attributes values have not been taken into consideration. In this paper, a function set-valued equivalence relation is proposed first considering the applications of SIS. Then the properties of the function set-valued equivalence classes are analyzed. Furthermore, the definitions of approximations under the function SIS are presented and the properties w.r.t. approximations under the tolerance and dominance relations are investigated. © Springer-Verlag Berlin Heidelberg 2014.