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基于结构元理论的复Fuzzy值函数微分及积分
引用本文:张丽娟,徐秀艳,张晓光,王新霞,常胜利.基于结构元理论的复Fuzzy值函数微分及积分[J].黑龙江科技学院学报,2013(2):200-203.
作者姓名:张丽娟  徐秀艳  张晓光  王新霞  常胜利
作者单位:黑龙江科技学院理学院,哈尔滨150027
基金项目:黑龙江省教育厅科学技术研究项目(12521488)
摘    要:基于结构元理论的Fuzzy数概念,研究了Fuzzy值函数微分及积分。在此基础上研究基于结构元线性生成的复Fuzzy值函数微分及积分,给出微分及积分的定义及求解定理,同时对复Fuzzy值函数的线性运算及加减运算之后的微分与积分公式进行探讨,给出了相应结论及证明。

关 键 词:模糊结构元  复Fuzzy值函数  微分  积分

Differential and integral based on double Fuzzy constant functions term series
ZHANG Lijuan,XU Xiuyan,ZHANG Xiaoguang,WANG Xinxia,CHANG Shengli.Differential and integral based on double Fuzzy constant functions term series[J].Journal of Heilongjiang Institute of Science and Technology,2013(2):200-203.
Authors:ZHANG Lijuan  XU Xiuyan  ZHANG Xiaoguang  WANG Xinxia  CHANG Shengli
Institution:(College of Sciences, Heilongjiang Institute of Science & Technology, Harbin 150027, China)
Abstract:This paper builds on the literature, which presents a concept of Fuzzy number based on the structured element theory and describes a study of the differential and the integral of double fuzzy con- stant function term series, which offers a concept of complex Fuzzy number based on the structured ele- ment theory. The paper provides a study of the differential and the integral theory of complex fuzzy value function based on the structured element linear spanning. The paper discusses some important operation properties for the differential and integral and offers corresponding proofs.
Keywords:fuzzy structural-element  double fuzzy constant function term series  differential  integral
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