| 一类新的模糊B-代数 |
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| 引用本文： | 孟变龙,王伟. 一类新的模糊B-代数[J]. 西安石油大学学报(自然科学版), 2009, 24(5) |
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| 作者姓名： | 孟变龙 王伟 |
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| 作者单位： | 1. 西北大学,地质学系,陕西,西安,710069
2. 西北大学,数学系,陕西,西安,710069;西安石油大学,理学院,陕西,西安,710065 |
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| 摘 要： | 引入带门槛的模糊B-子代数的概念,并讨论其性质.利用上水平集刻画了带门槛的模糊B-子代数,证明了在同态满射下,带门槛的模糊B-子代数的像和原像分别仍然是带门槛的模糊B-子代数.
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| 关 键 词： | B-代数 模糊B-子代数 带门槛的模糊B-子代数 上水平集 同态像 同态原像 |
A new type of fuzzy B-algebra |
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| MENG Bian-long,WANG Wei. A new type of fuzzy B-algebra[J]. Journal of Xian Shiyou University, 2009, 24(5) |
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| Authors: | MENG Bian-long WANG Wei |
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| Abstract: | The concept of the fuzzy B-sub-algebra with thresholds is introduced.Some of its properties are established.A characterization of the fuzzy B-subalgebra with thresholds is established by using upper level sets.It is proved that homomorphism images and homomorphism preimages of the fuzzy B-subalgebra with thresholds are also fuzzy B-subalgebras with the same thresholds under homomorphic epimorphism. |
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| Keywords: | B-algebra fuzzy B-subalgebra with thresholds upper level set homomorphism image homomorphism preimage |
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