| BCH-代数的（s,t]-模糊H-理想 |
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| 引用本文： | 彭家寅.BCH-代数的（s,t]-模糊H-理想[J].内江师范学院学报,2010,25(6):5-12. |
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| 作者姓名： | 彭家寅 |
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| 作者单位： | 内江师范学院,数学与信息科学学院//四川省高等学校数值仿真重点实验室,四川,内江,641100 |
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| 基金项目： | 四川省教育厅重点实验室专项基金 |
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| 摘 要： | 利用模糊点与模糊集的关系,引入了BCH-代数的（∈,∈∨q）-模糊H-理想、（■,■∨）-模糊H-理想和（s,t]-模糊H-理想的概念,指出了Hu-模糊H-理想、（∈,∈∨q）-模糊H-理想和（■,■∨）-模糊H-理想均为（s,t]-模糊H-理想的特例,讨论它们与其相应的水平H-理想的关系.（s,t]-模糊H-理想的同态象和同态原象是否成为（s,t]-模糊H-理想被研究,（s,t]-模糊H-理想的交与笛卡儿积被讨论.
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| 关 键 词： | BCH-代数 （s t]-模糊H-理想 （∈ ∈∨q）-模糊H-理想 （■ ■∨）-模糊H-理想 |
(s,t]-fuzzy H-ideals of BCH-algebras |
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| PENG Jia-yin.(s,t]-fuzzy H-ideals of BCH-algebras[J].Journal of Neijiang Teachers College,2010,25(6):5-12. |
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| Authors: | PENG Jia-yin |
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| Institution: | PENG Jia-yin(School of Mathematics and Information Science//Key Laboratory of Numerical Simulation of Sichuan Province,Neijiang Normal University,Neijiang,Sichuan 641100,China) |
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| Abstract: | By the use of the relations between fuzzy points and fuzzy sets,the notions of （s,t]-fuzzy H-ideals,（∈,■∨q）-fuzzy H-ideals and （■,■∨）-fuzzy H-ideal of BCH-algebras are introduced. Pointed out also are the particular cases when the Hu-fuzzy H-ideals,the （∈,∈ ∨q）-fuzzy H-ideals and the （■,■∨）-fuzzy H-ideals are all （s,t]-fuzzy H-ideals with their H-ideal relations in between discussed at the corresponding level. Whether the homomorphic images and inverse images of （s,t]-fuzzy H-ideals become （s,t]-fuzzy H-ideals are studied. Both he intersection and the Cartedian product of the （s,t]-fuzzy H-ideals are subjected to investigation respectively. |
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| Keywords: | BCH-algebra （s t]-fuzzy H-ideal （∈ ∈ ∨q）-fuzzy H-ideal （∈- ∈-∨ ）-fuzzy H-ideal |
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