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The Scientific World Journal
Volume 2014, Article ID 517039, 5 pages
http://dx.doi.org/10.1155/2014/517039
Research Article

A New Extended Soft Intersection Set to Implicative Fitters of BL-Algebras

1Department of Mathematics, Hubei Minzu University, Enshi, Hubei 445000, China
2Department of Mathematics, Hanyang University, Seoul 133-791, Republic of Korea

Received 24 March 2014; Accepted 9 July 2014; Published 21 July 2014

Academic Editor: Guoyin Wang

Copyright © 2014 Jianming Zhan 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

Molodtsov’s soft set theory provides a general mathematical framework for dealing with uncertainty. The concepts of -SI implicative (Boolean) filters of BL-algebras are introduced. Some good examples are explored. The relationships between -SI filters and -SI implicative filters are discussed. Some properties of -SI implicative (Boolean) filters are investigated. In particular, we show that -SI implicative filters and -SI Boolean filters are equivalent.