Computer Science ›› 2022, Vol. 49 ›› Issue (6A): 140-143.doi: 10.11896/jsjkx.210200123

• Intelligent Computing • Previous Articles     Next Articles

Topological Properties of Fuzzy Rough Sets Based on Residuated Lattices

XU Si-yu, QIN Ke-yun   

  1. College of Mathematics,Southwest Jiaotong University,Chengdu 611756,China
  • Online:2022-06-10 Published:2022-06-08
  • About author:XU Si-yu,born in 1996,postgraduate.Her main research interests include rough set theory and formal concept analysis.
    QIN Ke-yun,born in 1962,Ph.D,professor,Ph.D supervisor.His main research interests include rough set theory,formal concept analysis and fuzzy logic.
  • Supported by:
    National Natural Science Foundation of China(61976130).

Abstract: This paper is devoted to the study of the topological structure of L-fuzzy rough sets based on residuated lattices.The L-fuzzy topologies induced by the lower approximation operators determined by fuzzy implication operators are presented and its basic properties being discussed.The knowledge of the L-fuzzy approximation space is a general L-fuzzy relation,and there is no need to assume its reflexivity and strong seriality.Based on the transitive closures of the L-fuzzy relations,the interior operators and closure operators of the corresponding L-fuzzy topologies are constructed.The relationships among L-fuzzy topologies induced by lower approximation operators corresponding to different L-fuzzy relations are investigated,and a classification method for L-fuzzy relations is presented by using related topologies.

Key words: Approximation operator, Fuzzy relation, Fuzzy rough sets, Fuzzy topology, Residuated lattices

CLC Number: 

  • TP182
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