| 模糊数和模糊值函数的等式限定运算 |
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| 引用本文： | 孙旭东,郭嗣琮.模糊数和模糊值函数的等式限定运算[J].模糊系统与数学,2009,23(4). |
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| 作者姓名： | 孙旭东 郭嗣琮 |
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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项目 |
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| 摘 要： | 通过模糊数的结构元表示方法,利用两个单调函数的自反单调变换构造了等式限定算子,推广了文6]中的等式限定运算,处理了存在负模糊情况下关于乘法运算的不可逆问题.同时,本文还将等式限定运算推广到模糊值函数上,提出了模糊值函数等式限定运算的结构元方法,解决了模糊值函数运算的不可逆问题.
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| 关 键 词： | 模糊数 模糊值函数 等式限定运算 |
Arithmetic of Fuzzy Number and Fuzzy Value Function with Equality Constraints |
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| SUN Xu-dong,GUO Si-zong.Arithmetic of Fuzzy Number and Fuzzy Value Function with Equality Constraints[J].Fuzzy Systems and Mathematics,2009,23(4). |
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| Authors: | SUN Xu-dong GUO Si-zong |
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| Institution: | College of Science;Liaoning Technical University;Fuxin 123000;China |
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| Abstract: | This paper puts forward the equality constraint operator by defining the operation of two monotone functions based on the method of fuzzy structured element,improves the content of the equality constraint arithmetic in 6],solves the irreversible problem of multiplication when existing the negative fuzzy number.What's more,this paper also promotes the fuzzy number arithmetic with equality constraints to fuzzy value function arithmetic,realizes its reversion in traditional fuzzy arithmetic and gives the expr... |
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| Keywords: | Fuzzy Numbers Fuzzy Value Function Equality Constraint Arithmetic |
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