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http://dx.doi.org/10.4134/CKMS.2015.30.3.155

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)
Publication Information
Communications of the Korean Mathematical Society / v.30, no.3, 2015 , pp. 155-168 More about this Journal
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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