| 基于结构元的模糊值函数的一般表示方法 |
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| 引用本文： | 郭嗣琮. 基于结构元的模糊值函数的一般表示方法[J]. 模糊系统与数学, 2005, 19(1): 82-86 |
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| 作者姓名： | 郭嗣琮 |
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| 作者单位： | 辽宁工程技术大学,基础科学部,辽宁,阜新,123000 |
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| 基金项目： | 国家自然科学基金资助项目 (5 0 174 0 2 7，5 0 2 4 4 0 15 ) |
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| 摘 要： | 文[1]提出了模糊结构元的概念，并给出了模糊数与模糊值函数的模糊结构元表示，以及一类由模糊结构元线性生成的模糊值函数的微分和积分(黎曼意义下的)的表达形式。本文在文[1]的基础上进一步给出了由模糊结构元生成的模糊值函数的一般表达形式，并得到了一般表达形式下的模糊值函数的连续性和微分、黎曼积分的定义，它们与传统模糊分析中相应定义是等价的。
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| 关 键 词： | 模糊分析 模糊结构元 模糊值函数 微积分 |
| 文章编号： | 1001-7402(2005)01-0082-05 |
| 修稿时间： | 2003-05-13 |
Commonly Express Method of Fuzzy-Valued Function Based on Structured Element |
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| GUO Si-zong. Commonly Express Method of Fuzzy-Valued Function Based on Structured Element[J]. Fuzzy Systems and Mathematics, 2005, 19(1): 82-86 |
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| Authors: | GUO Si-zong |
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| Abstract: | A concept of fuzzy structured element and structured element representation theorem of (fuzzy) number and fuzzy-valued function are advanced in paper [1]. At one time, we also gave (calculate) method of differential and Riemann integral of fuzzy-valued functions according to the fuzzy structured element method. In this paper, we more presented the commonly expression form of the (fuzzy-valued) function using the fuzzy structured element method. By this commonly expression (form,) we also obtained some new definitions of the continuity and the calculus of the fuzzy-valued (functions.) These new definitions and corresponding definitions of the ordinary fuzzy analysis are (equivalence.) |
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| Keywords: | Fuzzy Analysis Fuzzy Structured Element Calculus of Fuzzy-valued Functions |
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