Volume 7, Issue 6, December 2014, Pages 1064 - 1073
On (,)- (implicative) filters in -algebras
Authors
Jianming Zhan, Yang Xu, Young Bae Jun
Corresponding Author
Jianming Zhan
Received 26 June 2013, Accepted 6 December 2013, Available Online 1 December 2014.
- DOI
- 10.1080/18756891.2013.876721How to use a DOI?
- Keywords
- Soft set, -algebras, filter, implicative filter, ()-soft congruence, ()- implicative(Boolean) filter
- Abstract
Molodtsov's soft set theory provides a general mathematical framework for dealing with uncertainty. This paper aims to put forward a new soft set–(,)-soft intersection set, which is a generalization of soft intersection sets. We introduce (, )- (implicative) filters of -algebras. Some characterizations of these kinds of filters are established. In particular, we discuss the properties of (,)-soft congruences in -algebras. It can lay a foundation for providing a new soft algebraic tool in considering many problems that contain uncertainties.
- Copyright
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Jianming Zhan AU - Yang Xu AU - Young Bae Jun PY - 2014 DA - 2014/12/01 TI - On (,)- (implicative) filters in -algebras JO - International Journal of Computational Intelligence Systems SP - 1064 EP - 1073 VL - 7 IS - 6 SN - 1875-6883 UR - https://doi.org/10.1080/18756891.2013.876721 DO - 10.1080/18756891.2013.876721 ID - Zhan2014 ER -