Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
qr-code QR
Code

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2015; 30(3): 155-168

Printed July 31, 2015

https://doi.org/10.4134/CKMS.2015.30.3.155

Copyright © The Korean Mathematical Society.

Filters of residuated lattices based on soft set theory

Young Bae Jun, Kyoung Ja Lee, Chul Hwan Park, and Eun Hwan Roh

Gyeongsang National University, Hannam University, Ulsan College, Chinju National University of Education

Abstract

Go to

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

MSC numbers: 06F35, 03G25, 06D72

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS