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Slope Analysis of Fuzzy Surfaces

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Abstract:

Abstract

Analysis of the slope is one of the fundamental analyses within geoinformatics, especially its initial calculation. Slope analysis is usually used as the first step in much more sophisticated analyses as well as in complex models of natural phenomena. Fuzzy surfaces provide representation of geographical phenomena with all aspects of the uncertainty (i.e. both in terms of the description of reality or the uncertainty of measurement). The uncertainty in the input surface is crucial for analysis of slope. A high level of uncertainty can significantly affect the result of slope analysis. The Neighbourhood method was utilized for calculating with fuzzy numbers and to perform slope analysis of the fuzzy surface. The main reason for choosing this method is that it belongs to the most common tools in GIS software (e.g. both ArcGIS and GRASS). The computation with fuzzy numbers instead of crisp numbers allows evaluation of uncertainty of the resultant slope. The aim of this article is to present the process of slope calculation with fuzzy numbers as well as all necessary algorithms that are needed for such calculation. The further analysis of uncertainty provides important information for the process of decision making. The level of uncertainty in the results of the above‐mentioned analysis can be as important as the actual result. It is especially important in situations where the amount of uncertainty varies at higher values.

Document Type: Research Article

DOI: https://doi.org/10.1111/j.1467-9671.2012.01333.x

Publication date: 2012-10-01

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