Fuzzy ordered subalgebras in ordered BCI-algebras

From the perspective of fuzzy points, the fuzzification of (ordered) subalgebras in OBCI-algebras is discussed. The notion of fuzzy (ordered) subal- gebras in OBCI-algebras is introduced, and several properties are investigated. The relationship between fuzzy subalgebras and fuzzy ordered subalgebras is considered, and conditions in which the fuzzy ordered subalgebra becomes the fuzzy subalgebra are provided. Characterization of the fuzzy (ordered) subal- gebra are displayed. The conditions under which they become (ordered) sub- algebras are explored by forming level set and q-set. Finally, translations and extensions of fuzzy ordered subalgebras are discussed.