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dc.contributor.author林梦雷
dc.date.accessioned2017-11-14T02:50:37Z
dc.date.available2017-11-14T02:50:37Z
dc.date.issued2006-03-30
dc.identifier.citation厦门大学学报(自然科学版),2006,(02):15-19
dc.identifier.issn0438-0479
dc.identifier.otherXDZK200602002
dc.identifier.urihttps://dspace.xmu.edu.cn/handle/2288/154676
dc.description.abstract根据Atanassov K所定义的直觉模糊集的概念,给出一个直觉模糊集为直觉模糊群的充要条件;引入直觉模糊群关于它的正规子群的诱导商集的概念;利用代数思想及方法证明直觉模糊群的诱导商集也是直觉模糊群.该结论完整地解决了一个直觉模糊群关于它的正规子群的商集的问题.
dc.description.abstractThe concept of an intuitionistic fussy set was defined by Atanassov K.In this paper,necessary and sufficient conditions were given for whether an intuitionistic fussy set was an intuitionistic fussy group.The concept of the induced quotient set determined by an intuitionistic fussy group on its normal subgroup was introduced.By using algebraic methods,it was proved that the induced quotient set determined by an intuitionistic fussy group was still an intuitionistic fussy group.Thus the problem of a quotient set determined by an intuitionistic fussy group on its normal subgroup was completely solved.This research enriches the theory of a fussy group.
dc.description.sponsorship漳州师院科研基金(SK03005)资助
dc.language.isozh_CN
dc.subject直觉模糊集
dc.subject直觉模糊群
dc.subject直觉模糊群的诱导商集
dc.subject直觉模糊群的诱导商群
dc.subject直觉模糊正规子群
dc.subjectintuitionstic fuzzy set
dc.subjectintuitionstic fuzzy group
dc.subjectintuitionistic fuzzy induced quotient set
dc.subjectintuitionistic fuzzy group induced quotient group
dc.subjectintuitionistic fuzzy normal subgroups
dc.title直觉模糊群与它的诱导商群
dc.title.alternativeIntuitionistic Fuzzy Group and Its Induced Quotient Group
dc.typeArticle


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