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亚BCI-代数的模糊理想
引用本文:彭家寅.亚BCI-代数的模糊理想[J].模糊系统与数学,2010,24(5).
作者姓名:彭家寅
作者单位:四川省高等学校数值仿真重点实验室,内江师范学院数学与信息科学学院,四川,内江,641112
基金项目:四川省科技厅重点科技项目,四川省教育厅重点实验室专项 
摘    要:引入了亚BCI-代数的模糊子代数、模糊理想、闭模糊理想和模糊P-理想的概念,研究了它们的性质。证明了模糊子代数(模糊理想、闭模糊理想、模糊P-理想)的同态像与同态原像仍能成为模糊子代数(模糊理想、闭模糊理想、模糊P-理想)。

关 键 词:亚BCI-代数  模糊子代数  模糊理想  闭模糊理想  模糊P-理想  同态

Fuzzy Ideals in Sub-BCI-algebras
PENG Jia-yin.Fuzzy Ideals in Sub-BCI-algebras[J].Fuzzy Systems and Mathematics,2010,24(5).
Authors:PENG Jia-yin
Institution:PENG Jia-yin(Key Laboratory of Numerical Simulation of Sichuan Province College of Mathematicsand Information Science,Neijiang Normal University,Neijiang 641112,China)
Abstract:In this paper,the notions of fuzzy subalgebra,fuzzy ideals,closed fuzzy ideal and fuzzy P-ideal in sub-BCI-algebras are introduced,and their properties are discussed.It is stated that the homomorphic images and inverse images of fuzzy subalgebra(fuzzy ideals,closed fuzzy ideal,fuzzy P-ideal) in subBCI-algebras become fuzzy subalgebra(fuzzy ideals,closed fuzzy ideal,fuzzy P-ideal) in sub-BCI-algebras.
Keywords:Sub-BCI-algebras  Fuzzy Ideal  Closed Fuzzy Ideal  Fuzzy P-ideal  Homomorphism  
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