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复模糊值函数的Henstock-Stieltjes积分
引用本文:吴建春,闫彦宗. 复模糊值函数的Henstock-Stieltjes积分[J]. 数学的实践与认识, 2012, 42(12): 123-128
作者姓名:吴建春  闫彦宗
作者单位:1. 酒泉职业技术学院,甘肃酒泉,735000
2. 陇东学院数学与统计学院,甘肃庆阳,745000
摘    要:基于对模糊复积分理论的研究,本文借助复区间值函数的Henstock-Stieltjes积分定义和刻划了复模糊值函数的Henstock-Stieltjes积分,并得到了复模糊值函数Henstock-Stieltjes积分的线性性及区间可加性.

关 键 词:模糊复分析  复模糊值函数  Henstock-Stieltjes积分

Henstock-Stieltjes Integral of Complex Fuzzy Valued Function
WU Jian-chun , YAN Yan-zong. Henstock-Stieltjes Integral of Complex Fuzzy Valued Function[J]. Mathematics in Practice and Theory, 2012, 42(12): 123-128
Authors:WU Jian-chun    YAN Yan-zong
Affiliation:1.Jiuquan Vocational And Technical College,Jiuquan 735000,China) (2.College of Mathematics and Statistics,Longdong University,Qingyang 745000,China)
Abstract:To meet the need of generalizing fuzzy complex integration,the concept of Henstock-Stieltjes integral for complex fuzzy-valued function is given and discussed by means of the Henstock-Stieltjes integral of complex interval-valued function.Furthermore,the linearity of integration and interval additivity of the Henstock-Stieltjes integral of complex intervalvalued function are obtained.
Keywords:Fuzzy complex analys  complex fuzzy-valued function  Henstock-Stieltjes integral
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