| [-1,1]上同序单调函数的同序变换群与模糊数运算 |
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| 引用本文： | 郭嗣琮.[-1,1]上同序单调函数的同序变换群与模糊数运算[J].模糊系统与数学,2005,19(3):105-110. |
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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（501740271;50244015） |
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| 摘 要： | 定义对称区间-1，1]上的同序单调有界函数的同序变换，利用文1]提出的模糊数的结构元表示方法，得到模糊数四则运算的结构元表示以及模糊数运算结果的隶属函数的确定方法。在多数的模糊数运算问题中，结构元的单调变换形式是容易得到的，此时，模糊数的运算将变得非常简单。文中还给出了一个运算的实例。
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| 关 键 词： | 模糊数 模糊结构元 同序单调函数 |
| 文章编号： | 1001-7402（2005）03-0105-06 |
| 收稿时间： | 2004-04-05 |
| 修稿时间： | 2004-11-04 |
Transformation Group of Monotone Functions with Same Monotonic Formal on [-1,1] and Operations of Fuzzy Numbers |
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| GUO Si-zong.Transformation Group of Monotone Functions with Same Monotonic Formal on [-1,1] and Operations of Fuzzy Numbers[J].Fuzzy Systems and Mathematics,2005,19(3):105-110. |
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| Authors: | GUO Si-zong |
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| Abstract: | The operation of fuzzy numbers is a main substance of the fuzzy mathematicat anatysls, in this paper , we defined order-preserving transform of bounded monotone functions on the symmetric interval -1, 1], and apply the methods of fuzzy structured element, the expression forms and correspondent membership of the four fundamental operations of fuzzy numbers base on the fuzzy structured element is obtained. The fuzzy structured element method can make further simple and easy to the operations of fuzzy numbers. |
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| Keywords: | Fuzzy Number Fuzzy Structured Element Monotone Function with Same Formal |
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