在包含模糊边界障碍物的自由空间中的最短路径

NAFIPS 2008 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society Pub Date : 2008-05-19 DOI:10.1109/NAFIPS.2008.4531289

S. Saito, H. Ishii, Kuang-Yih Yeh, Hao-Ching Hsia

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引用次数: 0

摘要

为了在有障碍物的自由空间中求出最短路径，本文引入了线性空间中范数和规的定义。其次，利用变分法中的欧拉-拉格朗日方程给出了最短路径问题的最优解。第三，考虑模糊数集合中的线性结构，并引入模糊线性空间中的范数。最后讨论了模糊边界下包含障碍物的自由空间中的最短路径。这对于在有自然破坏的现实环境中寻找最短路径非常有用，例如地震等。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On shortest paths in free spaces including obstacles with fuzzy boundaries

In this paper we introduce definitions of norms and gauges in linear spaces in order to find shortest paths in free spaces with obstacles. Secondly, Euler-Lagrange equations in the calculus of variation give the optimal solutions for the problems of shortest paths. Thirdly we consider a linear structure in a sets of fuzzy numbers and also introduce norms in fuzzy linear spaces. Finally we discuss shortest paths in free spaces including obstacles, with fuzzy boundaries. It is useful in finding shortest paths in realistic environment with natural damage, for example, earthquakes etc.

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NAFIPS 2008 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society

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