Yazar "Moussavi, A." seçeneğine göre listele

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    On Fuzzy p-ideals and fuzzy H-ideals in BCI-algebras
    (Maltepe Üniversitesi, 2009) Kordi, A.; Ahmadi, A.; Moussavi, A.
    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.
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    On Pseudo implicative BCK ideals of Pseudo-BCK algebras
    (Maltepe Üniversitesi, 2009) Moussavi, A.; Ghassemi, A.; Kordi, A.
    W.A. Dudek and Y.B. Jun gave a characterization of pseudo-BCK algebras, and provided conditions for a pseudo-BCK algebra to be ^-semi- lattice ordered (resp. \-semilattice ordered). Y.B. Jun, M. Kondo and K.H. Kim, introduced the notion of positive implicative pseudo-ideals in a pseudo-BCK algebra, and then they investigated some of their properties. In this paper the notion of pseudo-BCK ideals of a pseudo-BCK algebra is introduced and some related properties are investigated. We investigate the relations between this pseudo ideals and several pseudo-BCK ideals. We give some characterization theorems of pseudo-BCK ideals in pseudo- BCK algebras.