Solutions to Open Problems on Fuzzy Filters of -algebras

DOI

10.2991/ijcis.2015.8.1.9How to use a DOI?

Keywords

Non-classical logics, Artificial intelligence, -algebras, Fuzzy filter, Fuzzy fantastic filter, Fuzzy normal filter

Abstract

This paper focuses on the investigation of fuzzy filters of -algebras, an important and popular generic logical algebra. By studying the equivalent conditions of fuzzy fantastic filter and fuzzy normal filter of -algebras, the relation between these two filters are revealed. Two open problems of -algebras, i.e.,”Under what suitable condition a normal filter becomes a fantastic filter? ” and ” Under what suitable condition extension property for normal filter holds? (Extension property for a normal filter)”, are solved accordingly.

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/).

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TY  - JOUR
AU  - Wang Wei
AU  - Arsham Borumand Saeid
PY  - 2015
DA  - 2015/01/01
TI  - Solutions to Open Problems on Fuzzy Filters of -algebras
JO  - International Journal of Computational Intelligence Systems
SP  - 106
EP  - 113
VL  - 8
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2015.8.1.9
DO  - 10.2991/ijcis.2015.8.1.9
ID  - Wei2015
ER  -