| 布尔代数的Fuzzy子代数和Fuzzy理想 |
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| 引用本文： | 孙绍权.布尔代数的Fuzzy子代数和Fuzzy理想[J].模糊系统与数学,2006,20(1):90-94. |
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| 作者姓名： | 孙绍权 |
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| 作者单位： | 青岛科技大学,数理系,山东,青岛,266061 |
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| 基金项目： | 青岛科技大学科研基金资助项目 |
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| 摘 要： | 引入了布尔代数的Fuzzy子代数、Fuzzy理想和Fuzzy商布尔代数的概念,给出了布尔代数的Fuzzy集是Fuzzy子代数(Fuzzy理想)的充要条件,讨论了布尔代数的Fuzzy子代数(Fuzzy理想)在布尔代数同态下的像和逆像,得到了布尔代数的Fuzzy子代数的同态基本定理。
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| 关 键 词： | 布尔代数 Fuzzy子代数 Fuzzy理想 Fuzzy真理想 Fuzzy商布尔代数 |
| 文章编号： | 1001-7402（2006）01-0090-05 |
| 收稿时间： | 2004-05-18 |
| 修稿时间： | 2005-06-13 |
Fuzzy Subalgebras and Fuzzy Ideals of Boolean Algebra |
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| SUN Shao-quan.Fuzzy Subalgebras and Fuzzy Ideals of Boolean Algebra[J].Fuzzy Systems and Mathematics,2006,20(1):90-94. |
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| Authors: | SUN Shao-quan |
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| Institution: | Department of Mathematics and physics, Qingdao University of Science and Technology,Qingdao 266061 ,China |
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| Abstract: | In this paper,the concept of fuzzy subalgebras and fuzzy ideals of Boolean algebra and fuzzy quotient Boolean algebra are introduced,A necessary and sufficient condition for a fuzzy set of Boolean algebra to be a fuzzy subalgebra(ideal) is stated,and images and inverse-images of fuzzy subalgebra(ideal)of Boolean algebra under Boolean algebra homomorphism are studied,and given the fundamental theorem of homomorphism of fuzzy algebra. |
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| Keywords: | Boolean Algebra Fuzzy Subalgebra Fuzzy Ideal Fuzzy Proper Ideal Fuzzy Quotient Boolean Algebra |
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