| 模糊数的相等、同一与等式限定运算 |
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| 引用本文： | 郭嗣琮,刘海涛.模糊数的相等、同一与等式限定运算[J].模糊系统与数学,2008,22(6). |
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| 作者姓名： | 郭嗣琮 刘海涛 |
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| 作者单位： | 辽宁工程技术大学,理学院,辽宁,阜新,123000 |
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| 基金项目： | 辽宁省教育厅高等学校科学研究资助项目
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| 摘 要： | 讨论了在模糊数运算中相等与同一的区别,在Klir的模糊数限定运算基础上提出了模糊数的等式限定运算以及等式限定运算的结构元表示方法,解决了传统模糊数运算的不可逆问题.通过模糊数的结构元表示方法,将其等式限定运算转换为两个同序单调函数的运算,这不仅仅给出等式限定运算的可操作形式,同时对于求解模糊数方程也给出了具体的计算方法.
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| 关 键 词： | 模糊数 同一性 广义限定算子 模糊数方程 |
Equality and Identity of Fuzzy Numbers and Fuzzy Arithmetic with Equality Constraints |
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| GUO Si-zong,LIU Hai-tao.Equality and Identity of Fuzzy Numbers and Fuzzy Arithmetic with Equality Constraints[J].Fuzzy Systems and Mathematics,2008,22(6). |
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| Authors: | GUO Si-zong LIU Hai-tao |
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| Institution: | GUO Si-zong,LIU Hai-tao (College of Science,Liaoning Technical University,Fuxin 123000,China) |
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| Abstract: | The difference between equality and identity in fuzzy arithmetic is discussed in this paper.According to fuzzy arithmetic with requisite constraints put forward by Klir,the fuzzy arithmetic with equality constraints and its expression based on structured element are put forward,and then the irreversible problem in traditional fuzzy arithmetic is solved.From the expression based on structured element,the fuzzy arithmetic with equality constraints is turned into the operation of two monotone functions with th... |
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| Keywords: | Fuzzy Numbers Identity Generalized Constraint Operators Fuzzy Equation |
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