×

zbMATH — the first resource for mathematics

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)
PDF BibTeX XML Cite