| 基于模糊二元运算的模糊P-半单BCI-代数 |
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| 引用本文： | 蒲义书,陈露.基于模糊二元运算的模糊P-半单BCI-代数[J].宝鸡文理学院学报(自然科学版),2007,27(2):100-102. |
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| 作者姓名： | 蒲义书 陈露 |
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| 作者单位： | 陕西理工学院,数学系,陕西,汉中,723000 |
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| 基金项目： | 陕西理工学院科研基金项目(SLG0423) |
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| 摘 要： | 目的建立一种新的模糊BCI-代数。方法在BCI-代数上引入模糊运算及超模糊运算。结果新的模糊P-半单BCI-代数被建立,讨论了它的基本性质,给出了它的两种等价定义,并引入和研究模糊子代数。结论说明任一模糊P-半单BCI代数的模糊子代数,也是模糊P-半单BCI-代数。
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| 关 键 词： | P-半单BCI-代数 模糊二元运算 模糊P-半单BCI-代数 |
| 文章编号： | 1007-1261（2007）02-0100-03 |
| 收稿时间： | 2006-11-24 |
| 修稿时间： | 2006-11-242007-03-02 |
Fuzzy P-semisimple BCI-algebras based on fuzzy binary operation |
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| PU Yi-Shu,CHEN Lu.Fuzzy P-semisimple BCI-algebras based on fuzzy binary operation[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2007,27(2):100-102. |
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| Authors: | PU Yi-Shu CHEN Lu |
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| Institution: | Dept. Math. , Shaanxi University of Technology, Hanzhong 723000, Shaanxi,China |
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| Abstract: | Aim To establish a new fuzzy BCI-algebras.Methods Fuzzy and hyperfuzzy operations are introduced to BCI-algebras.Results A new fuzzy P-semisimple BCI-algebras is established, whose basic properties are discussed, and the two equivalent definitions of this algebra are introduced. Meanwhile, the fuzzy subalgebra is investigated.Conclusion Every fuzzy subalgebra of a fuzzy P-semisimple BCI-alegbras is also a fuzzy P-semisimple BCI-algebras. |
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| Keywords: | P-semisimple BCI-algebras fuzzy binary operation fuzzy P-semisimple BCI-algebras |
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