On Fuzzy p-ideals and fuzzy H-ideals in BCI-algebras

The concept of fuzzy subset and various operations on it were first introduced by Zadeh. Since then, fuzzy subsets have been applied to diverse field. The study of fuzzy subsets and their application to mathematical contexts has reached to what is now commonly called fuzzy mathematics. Fuzzy algebra is an important branch of fuzzy mathematics. The study of fuzzy algebraic structures was started with the introduction of the concept of fuzzy sub-groups in 1971 by Rosenfeld. Since then these ideas have been applied to other algebraic structures such as semigroups, rings, ideals, modules and vector spaces. In 1999, Ougen defined fuzzy subsets in BCK-algebras and investigated some properties . In 1993, Y.B. Jun applied it in BCI-algebras. We study and give some characterizations of Fuzzy p-ideals and fuzzy H-ideals in BCI-algebras. Several interesting properties of these concepts is studied.