Open AccessSeveral rough set models in quotient space
Author(s) -
Zhao Huanmin,
Ma Liwen
Publication year - 2022
Publication title -
caai transactions on intelligence technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.613
H-Index - 15
ISSN - 2468-2322
DOI - 10.1049/cit2.12036
Subject(s) - quotient space (topology) , quotient , rough set , space (punctuation) , mathematics , granularity , pure mathematics , algebra over a field , set (abstract data type) , discrete mathematics , theoretical computer science , computer science , data mining , programming language , operating system
In order to deal with coarse‐grained and multi‐grained calculation problems, as well as granularity transformation problems in information system, quotient space theory is introduced in rough set theory. The main idea of this research is to try to maintain the important properties of the original space into the quotient space. Aimed to preserve the micro properties and the macro properties, two pairs of approximation operators on the quotient space are defined. When it comes to the composite of quotient spaces, the idea of these operators shows greater advantages. Examples are cited to illustrate possible applications of these operators, and their matrix representations are also given to make the calculations easy. Finally, all approximation operators on the quotient space involved so far are compared and their relationships are shown through a diagram.