Anti-fuzzy soft ideals and fuzzy soft ideals in BCI algebras

Computer Engineering and Applications ›› 2013, Vol. 49 ›› Issue (9): 10-12.

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Anti-fuzzy soft ideals and fuzzy soft ideals in BCI algebras

CHEN Juanjuan1，2, LI Shenggang1

1.College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China
2.Faculty of Sciences, Xi’an University of Technology, Xi’an 710048, China

Online:2013-05-01 Published:2016-03-28

BCI代数上的反模糊软理想和模糊软理想

陈娟娟1，2，李生刚1

1.陕西师范大学数学与信息科学学院，西安 710062
2.西安理工大学理学院，西安 710048

Abstract

Abstract: Molodtsov introduces the concept of soft set theory which can be used as generic mathematical tool for dealing with uncertainty. The notions of anti-fuzzy soft ideals in BCI algebras are given, and some of their properties such as union, intersection and AND are studied. Definitions of fuzzy soft homomorphism and fuzzy soft isomorphism of fuzzy soft ideals in BCI algebras are defined and the theorems of isomorphic image and homomorphic pre-image of fuzzy soft ideals in BCI algebras are given.

Key words: fuzzy set, fuzzy soft set, BCI algebras, fuzzy soft ideals, anti-fuzzy soft ideals

摘要： Molodtsov引入的软集理论，可作为通用的数学工具去处理不确定性问题。给出了BCI代数上的反模糊软理想的概念，对它们的并、交和AND的性质进行了研究，定义了BCI代数上的模糊软理想间的模糊软同态和模糊软同构，给出了BCI代数上的模糊软理想的同构像定理和同态逆像定理。

关键词: 模糊集, 模糊软集, BCI代数, 模糊软理想, 反模糊软理想

CHEN Juanjuan1，2, LI Shenggang1. Anti-fuzzy soft ideals and fuzzy soft ideals in BCI algebras[J]. Computer Engineering and Applications, 2013, 49(9): 10-12.

陈娟娟1，2，李生刚1. BCI代数上的反模糊软理想和模糊软理想[J]. 计算机工程与应用, 2013, 49(9): 10-12.

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Anti-fuzzy soft ideals and fuzzy soft ideals in BCI algebras

BCI代数上的反模糊软理想和模糊软理想

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