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Interval-valued fuzzifications of subalgebras in BCH-algebras. (English) Zbl 0995.06008
A BCH-algebra is a binary groupoid $$G$$ with a fixed element $$0$$ such that the axioms $$xx=0$$, $$(xy)z=(xz)y$$, $$xy=yx=0\to x=y$$ are satisfied.
A characterization of interval-valued fuzzy subalgebras of $$G$$ is given and a method for constructing a new interval-valued fuzzy subalgebra from an old one is presented. The images and inverse images of such fuzzy subalgebras are studied too.
##### MSC:
 06F35 BCK-algebras, BCI-algebras (aspects of ordered structures)
##### Keywords:
BCH-algebra; interval-valued fuzzy set