| 模糊数值函数的强可导性、连续性、局部平均McShane可积性 |
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| 引用本文： | 巩增泰,汪昌健. 模糊数值函数的强可导性、连续性、局部平均McShane可积性[J]. 模糊系统与数学, 2002, 16(4): 45-52 |
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| 作者姓名： | 巩增泰 汪昌健 |
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| 作者单位： | 1. 西北师范大学,数学与信息科学学院,甘肃,兰州,730070
2. 国防科技大学,计算机学院,湖南,长沙,410073 |
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| 基金项目： | 甘肃省自然科学基金资助项目 (ZS0 11- A2 5 - 0 12 - Z)，西北师范大学青年基金，西北师范大学科技创新工程资助项目 (NWNU- KJCXGC- 2 12 ) |
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| 摘 要： | 通过所提出的模糊数值函数的强可导性和平均 Mc Shane可积性等概念 ,对模糊数值函数的连续性从导数和积分两方面进行了讨论和刻画 ,也回答了强可导性与强导数可积之间的关系 ,给出两个充分必要条件。
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| 关 键 词： | 模糊数 模糊数值函数 强可导性 连续性 可积性 |
| 文章编号： | 1001-7402(2002)04-0045-08 |
| 修稿时间： | 2002-01-11 |
The Strongly Differentiability, Continuity and Locally Mean (FM) Integrability for the Fuzzy-Valued Functions |
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| GONG Zeng tai ,WANG Chang jian. The Strongly Differentiability, Continuity and Locally Mean (FM) Integrability for the Fuzzy-Valued Functions[J]. Fuzzy Systems and Mathematics, 2002, 16(4): 45-52 |
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| Authors: | GONG Zeng tai WANG Chang jian |
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| Affiliation: | GONG Zeng tai 1,WANG Chang jian 2 |
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| Abstract: | In this paper, the concepts of locally mean (FM) (i.e., Fuzzy McShane) integrability and the strongly differentiability for the fuzzy valued functions are presented; as an integrand function, the continuity is discussed by the locally mean (FM) integrability and the strongly differentiability; two necessary and sufficient conditions of continuity for the fuzzy valued functions are given |
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| Keywords: | Fuzzy Number Fuzzy-Number-Valued Function Strongly Differentiability Continuity Locally Mean (FM) Integrability |
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