Generalized Fuzzy α-Ideals of BCI-Algebras

Xiao Zhang; Shao Quan Sun

doi:10.4028/www.scientific.net/AMM.321-324.2794

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 321-324Generalized Fuzzy α-Ideals of BCI-Algebras

Generalized Fuzzy α-Ideals of BCI-Algebras

Abstract:

In this Paper, the Concept of Generalized Fuzzy α-Ideal of BCI-Algebra is Introduced. the Following Results are Obtained: for a BCI-Algebra X, any Generalized Fuzzy α-Ideal of X must be a Generalized Fuzzy Ideal; a Fuzzy Set A of X is a Generalized Fuzzy α-Ideal of X if and only if for all t∈[λ,μ], A_tis either Empty or an α-Ideal of X; Suppose that A and B are Generalized Fuzzy α-Ideals of X, then so are A∩B and A×B. also, a Characterizations of Generalized Fuzzy α-Ideal is Given.

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Periodical:

Applied Mechanics and Materials (Volumes 321-324)

Pages:

2794-2797

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.321-324.2794

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Online since:

June 2013

Authors:

Xiao Zhang, Shao Quan Sun

Keywords:

BCI-Algebra, Generalized Fuzzy Ideal, Generalized Fuzzy α-Ideal, α-Ideal

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