International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 918656, 19 pages
doi:10.1155/2010/918656
Research Article

Generalizations of (∈,∈∨q)-Fuzzy Filters in R0-Algebras

Young Bae Jun,1 Seok Zun Song,2 and Jianming Zhan3

1Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, South Korea
2Department of Mathematics, Jeju National University, Jeju 690-756, South Korea
3Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei 445000, China

Received 4 November 2009; Accepted 9 February 2010

Academic Editor: Pentti Haukkanen

Copyright © 2010 Young Bae Jun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Generalizations of a part of the paper (Ma et al., 2009) are considered. As a generalization of an (∈,∈∨q)-fuzzy filter, the notion of an (∈,∈∨qk)-fuzzy filter is introduced, and its characterizations are provided. The implication-based fuzzy filters of an R0-algebra are discussed.