New models for shortest path problem with fuzzy arc lengths

Xiaoyu Ji; Kakuzo Iwamura; Zhen Shao

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New models for shortest path problem with fuzzy arc lengths

机译：具有模糊弧长的最短路径问题的新模型

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摘要

This paper considers the shortest path problem with fuzzy arc lengths. According to different decision criteria, the concepts of expected shortest path, α-shortest path and the most shortest path in fuzzy environment are originally proposed, and three types of models are formulated. In order to solve these models, a hybrid intelligent algorithm integrating simulation and genetic algorithm is provided and some numerous examples are given to illustrate its effectiveness.

机译：本文考虑了弧长模糊的最短路径问题。根据不同的决策标准，提出了模糊环境中期望最短路径，α-最短路径和最短路径的概念，并建立了三种模型。为了解决这些模型，提供了一种融合了模拟和遗传算法的混合智能算法，并给出了许多例子来说明其有效性。

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来源
《Applied Mathematical Modelling》 |2007年第2期|p.259-269|共11页
作者
Xiaoyu Ji; Kakuzo Iwamura; Zhen Shao;
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作者单位

Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
shortest path; fuzzy programming model; genetic algorithm; fuzzy simulation;

机译：最短路径;模糊规划模型;遗传算法;模糊仿真;

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1. A GENETIC ALGORITHM FOR SOLVING FUZZY SHORTEST PATH PROBLEMS WITH INTERVAL TYPE-2 FUZZY ARC LENGTHS [J] . Arindam Dey, Rangaballav Pradhan, Anita Pal, Malaysian Journal of Computer Science . 2018,第4期

机译：一种遗传算法，用于求解间隔类型2模糊弧长的模糊最短路径问题
2. A Biologically Inspired Optimization Algorithm for Solving Fuzzy Shortest Path Problems with Mixed Fuzzy Arc Lengths [J] . Zhang Xiaoge, Wang Qing, Adamatzky Andrew, Journal of Optimization Theory and Applications . 2014,第3期

机译：混合模糊弧长的模糊最短路径问题的生物启发式优化算法
3. A generic algorithm for solving fuzzy shortest path problems with fuzzy mixed arc lengths [J] . Reza Hassanzadeh, Iraj Mahdavi, Ali Tajdin, Operations Research . 2013,第3期

机译：求解模糊混合弧长的模糊最短路径问题的通用算法
4. Optimization Models for Shortest Path Problem with Stochastic Arc Lengths Taking Fuzzy Information [C] . Wei Liu International conference on management science and engineering management . 2013

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5. Transportation shortest path search area model. [D] . Wang, Hui. 2003

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6. Enhancement of indirect functional connections with shortest path length in the adult autistic brain [O] . Xiaonan Guo, Tiago Simas, Meng‐Chuan Lai, 2019

机译：在成人自闭症大脑中以最短路径长度增强间接功能连接
7. A GENETIC ALGORITHM FOR SOLVING FUZZY SHORTEST PATH PROBLEMS WITH INTERVAL TYPE-2 FUZZY ARC LENGTHS [O] . Arindam Dey, Rangaballav Pradhan, Anita Pal, 2018

机译：一种遗传算法，用于求解间隔类型2模糊弧长的模糊最短路径问题

New models for shortest path problem with fuzzy arc lengths

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