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一类新的模糊B-代数

A new type of fuzzy B-algebra
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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. 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.
作者 孟变龙 王伟
出处 《西安石油大学学报(自然科学版)》 CAS 北大核心 2009年第5期100-102,共3页 Journal of Xi’an Shiyou University(Natural Science Edition)
基金 陕西省自然科学基金资助项目(编号:2007A19)
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 B-algebra fuzzy B-subalgebra with thresholds upper level set homomorphism image homomorphism preimage
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参考文献8

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二级参考文献8

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  • 4BHAKAT S K, DAS P. ( ε,ε ∨ q)-level subsets[J]. Fuzzy Sets and Systems, 1999, 103:529-533.
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