A study on relationship between fuzzy rough approximation operators and fuzzy topological spaces

  • Authors:
  • Wei-Zhi Wu

  • Affiliations:
  • Information College, Zhejiang Ocean University, Zhoushan, Zhejiang, P.R. China

  • Venue:
  • FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part I
  • Year:
  • 2005

Quantified Score

Hi-index 0.00

Visualization

Abstract

It is proved that a pair of dual fuzzy rough approximation operators can induce a topological space if and only if the fuzzy relation is reflexive and transitive. The sufficient and necessary condition that a fuzzy interior (closure) operator derived from a fuzzy topological space can associate with a fuzzy reflexive and transitive relation such that the induced fuzzy lower (upper) approximation operator is the fuzzy interior (closure) operator is also examined.