DOI QR코드

DOI QR Code

FILTERS OF RESIDUATED LATTICES BASED ON SOFT SET THEORY

  • JUN, YOUNG BAE (Department of Mathematics Education Gyeongsang National University) ;
  • LEE, KYOUNG JA (Department of Mathematics Education Hannam University) ;
  • PARK, CHUL HWAN (Faculty of Mechanical Engineering Ulsan College) ;
  • ROH, EUN HWAN (Department of Mathematics Education Chinju National University of Education)
  • Received : 2015.05.18
  • Published : 2015.06.30

Abstract

Strong uni-soft filters and divisible uni-soft filters in residuated lattices are introduced, and several properties are investigated. Characterizations of a strong and divisible uni-soft filter are discussed. Conditions for a uni-soft filter to be divisible are established. Relations between a divisible uni-soft filter and a strong uni-soft filter are considered.

Keywords

residuated lattice;(divisible, strong) filter;uni-soft filter;divisible uni-soft filter;strong uni-soft filter

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