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区间值Fuzzy域上的Fuzzy代数
引用本文:孙绍权,谷文祥.区间值Fuzzy域上的Fuzzy代数[J].东北师大学报(自然科学版),1998(3):49-53.
作者姓名:孙绍权  谷文祥
作者单位:东北师范大学计算机科学系(孙绍权),吉林省教育学院数学系(谷文祥)
摘    要:提出了区间值Fuzzy域及区间值Fuzzy代数的概念,给出了一个区间值Fuzzy集为区间值Fuzzy代数的充分必要条件,并应用区间值Fuzzy集的扩张原理,讨论了区间值Fuzzy代数在代数同态下的象和逆象问题。

关 键 词:区间值Fuzzy集  区间值Fuzzy域  Fuzzy代数

Fuzzy Algebras over Interval-Valued Fuzzy Fields
Sun Shaoquan,Gu Wenxiang.Fuzzy Algebras over Interval-Valued Fuzzy Fields[J].Journal of Northeast Normal University (Natural Science Edition),1998(3):49-53.
Authors:Sun Shaoquan  Gu Wenxiang
Abstract:The concept of an interval-valued fuzzy fields and interval-valued fuzzy algebra are introduced. A necessary and Sufficient condition for an interval-valued fuzzy sets to be an interval-valued fuzzy algebra is Stated, and using the extension principle of interval-valued fuzzy sets, images and inverse-images of interval-valued fuzzy algebra under a algebraic homomorphism are studied.
Keywords:interval-valued fuzzy sets  interval-valued fuzzy felds  interval-valued fuzzy algebra  algebraic homomorphism
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