| 折线Mamdnai模糊系统及其权值参数的萤火虫优化算法 |
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| 引用本文： | 索春凤,王贵君. 折线Mamdnai模糊系统及其权值参数的萤火虫优化算法[J]. 浙江大学学报(理学版), 2016, 43(2): 149-155. DOI: 10.3785/j.issn.1008-9497.2016.02.005 |
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| 作者姓名： | 索春凤 王贵君 |
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| 作者单位： | 天津师范大学数学科学学院, 天津 300387 |
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| 基金项目： | 国家自然科学基金资助项目(61374009). |
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| 摘 要： | 折线Mamdnai模糊系统是基于折线模糊数的线性运算构造的系统模型,其主要特点是前件模糊集及后件中心连接权均取值于由有限个有序点决定的折线模糊数.依据折线模糊规则建立了折线Mamdnai模糊系统模型,进而基于适应度函数、荧光素和决策半径设计了该系统权值参数的萤火虫优化算法,以优化该系统的后件中心连接权参数.最后,通过一个双输入单输出仿真实例,验证了该萤火虫优化算法的有效性.
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| 关 键 词： | 折线模糊数 折线Mamdnai模糊系统 后件中心连接权 萤火虫优化算法 |
| 收稿时间： | 2015-06-08 |
Polygonal Mamdnai fuzzy system and the firefly optimization algorithm of its weight parameters |
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| SUO Chunfeng,WANG Guijun. Polygonal Mamdnai fuzzy system and the firefly optimization algorithm of its weight parameters[J]. Journal of Zhejiang University(Sciences Edition), 2016, 43(2): 149-155. DOI: 10.3785/j.issn.1008-9497.2016.02.005 |
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| Authors: | SUO Chunfeng WANG Guijun |
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| Affiliation: | School of Mathematics Sciences, Tianjin Normal University, Tianjin 300387, China |
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| Abstract: | The polygonal Mamadnai fuzzy system is a model based on the linear operation of polygonal fuzzy numbers, and its main characteristic is that the antecedent fuzzy sets and consequent centre connection weights are decided by finite points of a polygonal fuzzy number. In this paper, a polygonal Mamdnai fuzzy system is constructed by some polygonal fuzzy rules, and a firefly optimization algorithm for the weigh parameters is designed based on the fitness function, fluorescein and decision radius. Therefore, the consequent centre connection weights of this system are optimized. Finally, through a double input and single output simulation instance, we verify the effectiveness of the firefly optimization algorithm. |
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| Keywords: | polygonal fuzzy numbers polygonal Mamadnai fuzzy system consequent centre connection weights firefly optimization algorithm |
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