| T_H型区间值模糊正规子群的乘积与同态象定理 |
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| 引用本文： | 王贵君,谷文祥.T_H型区间值模糊正规子群的乘积与同态象定理[J].东北师大学报(自然科学版),1998(1). |
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| 作者姓名： | 王贵君 谷文祥 |
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| 作者单位： | 通化师范学院数学系(王贵君)，东北师范大学计算机科学系(谷文祥) |
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| 摘 要： | 在群上的区间值模糊集空间上，引入幂等区间范数ＴＨ，定义了ＴＨ型区间值模糊集的乘积，在此基础上，研究了这种乘积在其模糊正规子群空间上的推广性质，给出了ＴＨ型区间值模糊正规子群的同态象定理．
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| 关 键 词： | 区间值模糊集 幂等区间范数 T_H型区间值模糊正规子群 乘积 扩张原理 |
The Product and the Theorem of the Image of Homomorphism of T H-Interval-Valued Fuzzy Normal Subgroups |
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| Wang Guijun.The Product and the Theorem of the Image of Homomorphism of T H-Interval-Valued Fuzzy Normal Subgroups[J].Journal of Northeast Normal University (Natural Science Edition),1998(1). |
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| Authors: | Wang Guijun |
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| Abstract: | On the space of the interval-valued fuzzy sets on groups, it is defined that the product of T H-interval-valued fuzzy set by introducing the idempotent interval torm T H in this paper. On the basis of it, the generalized properties of the product on the space of its fuzzy normal subgroups is studied. Finally, the theorem of the image of homomorphism of T H-interval-valued fuzzy normal subgroups is given. |
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| Keywords: | Interval-valued fuzzy sets idempotent interval torms T H-interval-valued fuzzy normal subgroups product extension principle |
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