摘要
为了更深入的研究直觉模糊理论,本文在模糊数直觉模糊集定义的基础上给出了模糊数直觉模糊群的定义,并讨论了它的一些运算。在两个非空有限经典群同态与同构意义下,研究了这种模糊数直觉模糊群的像、前像和逆映射等问题。对模糊数直觉模糊理论的深入研究具有一定的理论意义。
In this study,a fuzzy number intuitive fuzzy group is defined for further studying the intuitive fuzzy theory. The operations are also discussed. In terms of homomorphism and isomorphism of two nonempty limited classical groups,the study investigates the image,the pre-image and the inverse mapping etc. of the fuzzy number intuitive fuzzy groups. The study is of significance in theoretical analysis of fuzzy number intuitive set.
出处
《辽宁工程技术大学学报（自然科学版）》
CAS
北大核心
2010年第5期733-735,共3页
Journal of Liaoning Technical University (Natural Science)
关键词
模糊数直觉模糊集
模糊数直觉模糊群
隶属函数
扩展运算
fuzzy number intuitive set
fuzzy number intuitive group
membership-function
extension operations
