A new extended soft intersection set to M,N-SI implicative fitters of BL -algebras

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Abstract

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

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Zhan, J., Liu, Q., & Kim, H. S. (2014). A new extended soft intersection set to M,N-SI implicative fitters of BL -algebras. Scientific World Journal, 2014. https://doi.org/10.1155/2014/517039

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