Generalized intersectional soft ideals of BCK/BCI-algebras

Computer Engineering and Applications ›› 2013, Vol. 49 ›› Issue (18): 29-32.

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Generalized intersectional soft ideals of BCK/BCI-algebras

YANG Yongwei1, XIN Xiaolong1, MENG Biaolong1，2

1.Department of Mathematics, Northwest University, Xi’an 710127, China
2.College of Science, Xi’an University of Science and Technology, Xi’an 710054, China

Online:2013-09-15 Published:2013-09-13

BCK/BCI-代数的广义交软理想

杨永伟1，辛小龙1，孟彪龙1，2

1.西北大学数学系，西安 710127
2.西安科技大学理学院，西安 710054

Abstract

Abstract: In order to investigate the properties of ideal theories of BCK/BCI-algebras further more, [α]-intersectional soft BCK/BCI-ideal, as a generalization of an intersectional soft BCK/BCI-ideal, is initiated by introducing a parameter to an intersectional soft BCK/BCI-ideal. Several equivalent characterizations and relevant properties of [α]-intersectional soft BCK/BCI-ideals are also given. The properties of image and inverse image of [α]-intersectional soft BCK/BCI-ideals under a homomorphism are discussed.

Key words: BCK/BCI-algebra, soft set, intersectional soft BCK/BCI-ideal

摘要： 为了进一步研究交软BCK/BCI-理想的性质，通过在交软BCK/BCI-理想的概念中引入一个参数[α]，从而给出了[α]-交软BCK/BCI-理想的定义，并在一定程度上推广了交软BCK/BCI-理想的概念。给出了[α]-交软BCK/BCI-理想的刻画方法和性质。讨论了[α]-交软BCK/BCI-理想在同态下像和逆像性质。

关键词: BCK/BCI-代数, 软集, 交软BCK/BCI-理想

YANG Yongwei1, XIN Xiaolong1, MENG Biaolong1，2. Generalized intersectional soft ideals of BCK/BCI-algebras[J]. Computer Engineering and Applications, 2013, 49(18): 29-32.

杨永伟1，辛小龙1，孟彪龙1，2. BCK/BCI-代数的广义交软理想[J]. 计算机工程与应用, 2013, 49(18): 29-32.

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Generalized intersectional soft ideals of BCK/BCI-algebras

BCK/BCI-代数的广义交软理想

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