Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)

Some Properties of Fuzzy Filters in Lattice Implication Algebras

Authors
Weitao Xu1
1Department of Applied Mathematics, Southwest Jiaotong University
Corresponding Author
Weitao Xu
Available Online October 2007.
DOI
https://doi.org/10.2991/iske.2007.248How to use a DOI?
Keywords
lattice implication algebra; filter; fuzzy filter; fuzzy implicative filter.
Abstract

In this paper, several equivalent conditions for fuzzy filters are given in lattice implication algebra. The relation between fuzzy filters and fuzzy implicative filters is discussed. It is also proved that fuzzy implicative filters are fuzzy filters in lattice implication algebra.

Copyright
© 2007, 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/).

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Volume Title
Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
Series
Advances in Intelligent Systems Research
Publication Date
October 2007
ISBN
978-90-78677-04-8
ISSN
1951-6851
DOI
https://doi.org/10.2991/iske.2007.248How to use a DOI?
Copyright
© 2007, 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  - CONF
AU  - Weitao Xu
PY  - 2007/10
DA  - 2007/10
TI  - Some Properties of Fuzzy Filters in Lattice Implication Algebras
BT  - Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
PB  - Atlantis Press
SP  - 1460
EP  - 1463
SN  - 1951-6851
UR  - https://doi.org/10.2991/iske.2007.248
DO  - https://doi.org/10.2991/iske.2007.248
ID  - Xu2007/10
ER  -