New types of fuzzy ideals of BCI-algebras
The concepts of \((\in_{\gamma},\in_{\gamma} \! \vee\,{\rm q}_{\delta})\)-fuzzy (p-, q- and a-) ideals and \((\overline{\in}_{\gamma},\overline{\in}_{\gamma} \! \vee\,{\rm \overline{q}}_{\delta})\)-fuzzy (p-,q- and a-) ideals in BCI-algebras are introduced. Some new characterizations are investigated. In particular, we prove that a fuzzy set? of a BCI-algebra X is an \((\in_{\gamma},\in_{\gamma} \! \vee\,{\rm q}_{\delta})\)-fuzzy a-ideal of X if and only if it is both an \((\in_{\gamma},\in_{\gamma} \! \vee\,{\rm q}_{\delta})\)-fuzzy p-ideal and an \((\in_{\gamma},\in_{\gamma} \! \vee\,{\rm q}_{\delta})\)-fuzzy q-ideal.
bci-algebra (p- q- and a-) ideal q- and a-) ideal q- and a-) ideal \((\in_{\gamma} \in_{\gamma} \! \vee {\rm q}_{\delta})\)-fuzzy (p- \((\overline{\in}_{\gamma} \overline{\in}_{\gamma} \! \vee {\rm \overline{q}}_{\delta})\) -fuzzy (p-