Copyright © 2010 Young Bae Jun et al. This is an open access article distributed under the
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Based on the theory of falling shadows and fuzzy sets, the notion of a falling
fuzzy implicative ideal of a BCK-algebra is introduced. Relations among
falling fuzzy ideals, falling fuzzy implicative ideals, falling fuzzy positive implicative
ideals, and falling fuzzy commutative ideals are given. Relations
between fuzzy implicative ideals and falling fuzzy implicative ideals are provided.