| BL-代数的余零化算子及其BL同态像 |
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| 引用本文： | 王霞霞,吴洪博.BL-代数的余零化算子及其BL同态像[J].吉林大学学报(理学版),2014,52(6):1112-1118. |
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| 作者姓名： | 王霞霞 吴洪博 |
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| 作者单位： | 陕西师范大学 数学与信息科学学院, 西安 710062 |
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| 摘 要： | 通过在BL-代数中给出单点余零化算子的概念,研究单点余零化算子的基本性质;在BL-代数中讨论多点余零化算子的基本性质,并给出BL-代数的一个子集是多点余零化算子像的充要条件;研究多点余零化算子BL同态像的性质并分别给出余零化算子的BL同态像和余零化算子的BL同态原像是余零化算子像的充要条件.
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| 关 键 词： | 模糊逻辑 BL-代数 单点余零化算子 多点余零化算子 BL同态 |
| 收稿时间： | 2014-02-20 |
Co-annihilator Operator of BL-Algebras and Its Image of BL-Homomorphism |
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| WANG Xiaxia,WU Hongbo.Co-annihilator Operator of BL-Algebras and Its Image of BL-Homomorphism[J].Journal of Jilin University: Sci Ed,2014,52(6):1112-1118. |
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| Authors: | WANG Xiaxia WU Hongbo |
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| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China |
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| Abstract: | Firstly, the definition of single point co annihilator operator was given in the BL algebras, then some properties of single point co-annihilator operator were studied. Secondly, some properties of multiple point co-annihilator operator were discussed, and the necessary and sufficient conditions were given for a subset being an image of multiple point co-annihilator operator in the BL algebras. Finally, some properties of multiple point co-annihilator operator’s image of BL homomorphism were discussed, and the necessary and sufficient conditions were given when co annihilator operator’s image of BL-homomorphism and its inverse image of BL-homomorphism are the images of multiple point co-annihilator operator. |
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| Keywords: | fuzzy logic BL-algebra single-point co-annihilator operator multiple-point co-annihilator operator BL-homomorphism |
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