New types of fuzzy ideals of BCI-algebras
X Ma, J Zhan, YB Jun - Neural Computing and Applications, 2012 - Springer
X Ma, J Zhan, YB Jun
Neural Computing and Applications, 2012•SpringerThe concepts of (γ, γ\! ∨\rm q _ δ)-fuzzy (p-, q-and a-) ideals and (∈ _ γ, ∈ _ γ\! ∨\rm q _ δ)-
fuzzy (p-, q-and a-) ideals in BCI-algebras are introduced. Some new characterizations are
investigated. In particular, we prove that a fuzzy set μ of a BCI-algebra X is an (γ, γ\! ∨\rm q _
δ)-fuzzy a-ideal of X if and only if it is both an (γ, γ\! ∨\rm q _ δ)-fuzzy p-ideal and an (γ, γ\!
∨\rm q _ δ)-fuzzy q-ideal.
fuzzy (p-, q-and a-) ideals in BCI-algebras are introduced. Some new characterizations are
investigated. In particular, we prove that a fuzzy set μ of a BCI-algebra X is an (γ, γ\! ∨\rm q _
δ)-fuzzy a-ideal of X if and only if it is both an (γ, γ\! ∨\rm q _ δ)-fuzzy p-ideal and an (γ, γ\!
∨\rm q _ δ)-fuzzy q-ideal.
Abstract
The concepts of -fuzzy (p-, q- and a-) ideals and -fuzzy (p-, q- and a-) ideals in BCI-algebras are introduced. Some new characterizations are investigated. In particular, we prove that a fuzzy set μ of a BCI-algebra X is an -fuzzy a-ideal of X if and only if it is both an -fuzzy p-ideal and an -fuzzy q-ideal.
Springer
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