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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 |
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| PENG Jia-yin. Fuzzy Ideals in Sub-BCI-algebras[J]. Fuzzy Systems and Mathematics, 2010, 24(5) | |
| Authors: | PENG Jia-yin |
| Affiliation: | 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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