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基于模糊二元运算的模糊群的若干性质
引用本文:唐加冕,肖楠,叶国妍.基于模糊二元运算的模糊群的若干性质[J].数学的实践与认识,2012,42(24).
作者姓名:唐加冕  肖楠  叶国妍
作者单位:石家庄学院数学与信息科学系,河北石家庄,050035
基金项目:石家庄学院科研启动基金(11YB008)
摘    要:给出一种新的模糊二元运算,利用这种运算导出集合G中元素间的一种运算(仍称之为模糊二元运算),然后给出新模糊群的定义.讨论了这种基于模糊二元运算的模糊群的一系列的概念以及性质.

关 键 词:模糊二元运算  模糊群  映射

Characters of Fuzzy Group Based on The Fuzzy Binary Operation
TANG Jia-mian , XIAO Nan , YE Guo-yan.Characters of Fuzzy Group Based on The Fuzzy Binary Operation[J].Mathematics in Practice and Theory,2012,42(24).
Authors:TANG Jia-mian  XIAO Nan  YE Guo-yan
Abstract:This article gives a new kind of fuzzy binary operation that can be used to export a kind of operation(we still call it fuzzy binary) between the elements in G,and finally gives the definition of the fuzzy group.We discusses a series of conception and characters of the fuzzy group that is based on fuzzy binary operation.
Keywords:fuzzy binary operation  fuzzy group  mapping
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