| 复模糊值函数的导数及其性质 |
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| 引用本文： | 王鹏飞,殷凤,蔺小林. 复模糊值函数的导数及其性质[J]. 黑龙江大学自然科学学报, 2009, 26(4) |
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| 作者姓名： | 王鹏飞 殷凤 蔺小林 |
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| 作者单位： | 忻州师范学院,数学系,忻州,034000;陕西科技大学理学院,西安,710021 |
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| 基金项目： | 国家自然科学基金资助项目,忻州师范学院自然科学基金资助项目 |
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| 摘 要： | 介绍模糊数的概念及运算规则.以及模糊值函数的可导的定义.给出了复模糊值函数的截集和可导及解析的概念,利用模糊数的序关系和分解定理讨论了复模糊值函数导数的性质,得出了复模糊值函数的导数具有线性性及在复模糊值函数可导且复模糊值函数的实部和虚部的导数大于(小于)零的情况下,复模糊值函数的实部和虚部具有单调性.
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| 关 键 词： | 复模糊值函数 复模糊值函数的截集 导数 解析 |
Differential coefficient and its properties of complex fuzzy-valued function |
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| WANG Peng-fei,YIN Feng,LIN Xiao-lin. Differential coefficient and its properties of complex fuzzy-valued function[J]. Journal of Natural Science of Heilongjiang University, 2009, 26(4) |
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| Authors: | WANG Peng-fei YIN Feng LIN Xiao-lin |
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| Affiliation: | 1.Department of Mathematics;Xinzhou Teacher's College;Xinzhou 034000;China;2.Faculty of Science;Shanxi University of Science and Technolgy;Xi'an 710021;China |
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| Abstract: | The operation rule and conception of fuzzy number and a conception of fuzzy-valued function and derivability are given.From which,the definitions of a cut sets,derivability and analytics of complex fuzzy-valued function are given,and the properties of differential coefficient of complex fuzzy-valued function are discussed by using order relation of fuzzy function and resolution theorem of fuzzy function.The linearity of differential coefficient of complex fuzzy-valued function are proved,at the same time,in... |
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| Keywords: | complex fuzzy-valued function cut sets of complex fuzzy-valued function differential coefficient analytics |
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