| 基于合意空间的模糊子群 |
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| 引用本文： | 杨万才.基于合意空间的模糊子群[J].应用数学,2005,18(3):471-475. |
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| 作者姓名： | 杨万才 |
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| 作者单位： | 河南科技大学数理系,河南,洛阳,471003 |
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| 摘 要： | 利用合意空间(ConsensusSpace)理论给出了一个群的C模糊子群的定义.指出这种模糊子群实际上是基于t范(Tm范)的模糊子群.证明了Rosenfeld的模糊子群是C模糊子群,且每一个C模糊子群都与一类特殊的C模糊子群同构.从而为模糊子群提供了新的理论基础.
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| 关 键 词： | 模糊子群 合意空间 C-模糊子群 同构 |
| 文章编号： | 1001-9847(2005)03-0471-05 |
| 修稿时间： | 2004年9月28日 |
Fuzzy Subgroups Based on Consensus Space |
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| YANG Wan-cai.Fuzzy Subgroups Based on Consensus Space[J].Mathematica Applicata,2005,18(3):471-475. |
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| Authors: | YANG Wan-cai |
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| Abstract: | By the use of theory of consensus space given by Hisakichi Suzuki,concept of C-fuzzy subgroup of a group G is given.It is pointed that C-fuzzy subgroup is a fuzzy subgroup based on t-norm (T_m norm).It is proved that a Rosenfeld's fuzzy subgroup is a C-fuzzy subgroup and each C-fuzzy subgroup is isomorphic to a special of C-fuzzy subgroups.These discussions have built up a new theoretical foundation for the definition of fuzzy subgroup. |
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| Keywords: | Fuzzy subgroup Consensus space C-fuzzy subgroup Isomorphism |
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