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直觉模糊正规子群与直觉模糊商群
引用本文:姚炳学.直觉模糊正规子群与直觉模糊商群[J].数学理论与应用,2001(2).
作者姓名:姚炳学
作者单位:聊城师范学院数学与系统科学系 聊城,252059
基金项目:自然科学基金资助课题 (Y98A0 5 0 0 8)
摘    要:在直觉模糊子群的基础上 ,引入直觉模糊正规子群与直觉模糊商群概念 ,并讨论了它们的一些性质 ,最后研究了群同态下 ,直觉模糊正规子群的对应关系

关 键 词:直觉模糊子集  直觉模糊子群  直觉模糊正规子群  直觉模糊商群

INTUITIONISTIC FUZZY NORMAL SUBGROUP AND INTUITIONISTIC FUZZY QUOTIENT GROUP
Yao Bingxue.INTUITIONISTIC FUZZY NORMAL SUBGROUP AND INTUITIONISTIC FUZZY QUOTIENT GROUP[J].Mathematical Theory and Applications,2001(2).
Authors:Yao Bingxue
Abstract:Based on the concept of intuitionistic fuzzy sets,the concepts of intuitionistic fuzzy normal subgroups and intuitionistic fuzzy quotient groups are introduced,some properties of intuitionistic fuzzy normal subgroups are discussed and the correspondence relations of intuitionistic fuzzy normal subgroups under homomorphism of groups are obtained.
Keywords:Intuitionistic fuzzy subset  intuitionistic fuzzy subgroup  intuitionistc fuzzy normal subgroup  intuitionistic fuzzy quotient group  
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