Approximation Operators, Binary Relation and Basis Algebra in L-fuzzy Rough Sets

Research output: Contribution to journalArticle

Authors

  • Zhenjiang Wu
  • Tianrui Li
  • Keyun Qin
  • Da Ruan

Institutes & Expert groups

  • Southwest Jiaotong University
  • UGent - Universiteit Gent

Documents & links

DOI

Abstract

Approximation operators play a vital role in rough set theory. Their three elements, namely, binary relation in the universe, basis algebra and properties, are fundamental in the study of approximation operators. In this paper, the interrelations among the three elements of approximation operators in L-fuzzy rough sets are discussed under the constructive approach, the axiomatic approach and the basis algebra choosing approach respectively. In the constructive approach, the properties of the approximation operators depend on the basis algebra and the binary relation. In the axiomatic approach, the induced binary relation is influenced by the axiom set and the basis algebra. In the basis algebra choosing approach, the basis algebra is constructed by properties of approximation operators and specific binary relations.

Details

Original languageEnglish
Pages (from-to)47-63
Number of pages17
JournalFundamenta Informaticae
Volume111
Issue number1
DOIs
Publication statusPublished - 2011

Keywords

  • L-fuzzy rough sets, Approximation operators, Basis algebra, Binary relation, Residuated lattice

ID: 6856344