摘要
为解决复模糊值函数及微分简化运算，提出了基于结构元生成的复模糊值函数定义、隶属函数及四则运算定义．同时，对复模糊值函数的微分进行了研究，特别是给出了四则运算情形下的求导公式，并进行了证明．上述研究将对模糊复分析理论的完善及深入探讨提供新的途径．
In order to solve the complex fuzzy-valued function and derivation simplified calculations, the definitions of complex fuzzy-valued function, membership function and four arithmetic operations which are based on structure cell are put forward. At the same time, the derivation of complex fuzzy-valued function is studied, especially the derivation formula of the four arithmetic operations are given and proved. A new approach of the improvement and deep discussion of fuzzy complex analysis theory is provided.
作者
陈孝国
CHEN Xiao-guo(School of Science, Heilongjiang University of Science and Technology, Harbin 150022, China)
出处
《数学的实践与认识》
北大核心
2018年第11期195-199,共5页
Mathematics in Practice and Theory
基金
黑龙江省教育厅科研项目(12531577)
黑龙江科技大学青年才俊资助项目(20120101)
关键词
模糊结构元
复模糊值函数
四则运算
微分
fuzzy structural-element
complex fuzzy-valued function
correspondent mem-bership
differentiation
