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Алгебра карт×Многокритериальный анализ решений на основе ГИС (GIS-MCDA)×Анализ наименьшей стоимости пути / анализ стоимости расстояния×
ОбластьПространственный анализПространственный анализПространственный анализ
СемействоProcess / pipelineProcess / pipelineProcess / pipeline
Год появления199020061994
Автор методаDana TomlinJacek Malczewski (GIS-MCDA synthesis)Edsger Dijkstra (shortest path); GIS cost-surface adaptation
ТипRaster spatial analysis frameworkSpatial multi-criteria suitability/decision analysisRaster cost-surface routing
Основополагающий источникTomlin, C. D. (1990). Geographic Information Systems and Cartographic Modeling. Prentice Hall. ISBN: 978-0-13-350927-4Malczewski, J. (2006). GIS-based multicriteria decision analysis: a survey of the literature. International Journal of Geographical Information Science, 20(7), 703–726. DOI ↗Dijkstra, E. W. (1959). A note on two problems in connexion with graphs. Numerische Mathematik, 1(1), 269–271. DOI ↗
Другие названияCartographic Modeling, Raster Algebra, Grid Algebra, Harita CebiriGIS-MCDM, spatial multi-criteria analysis, GIS-AHP, weighted overlay suitabilitycost-distance analysis, accumulated cost surface, least-cost corridor, en düşük maliyetli yol
Связанные343
СводкаMap Algebra is a rule-based language and computational framework for deriving new raster layers from existing ones by applying arithmetic, logical, or statistical operations cell by cell or across neighborhoods. Formalized by Dana Tomlin in 1990, it is the foundational algebraic system underlying raster GIS analysis and is widely used in environmental science, urban planning, hydrology, and land-use modeling whenever spatially explicit calculations on gridded data are required.GIS-MCDA combines the map layers of a geographic information system with multi-criteria decision analysis to produce suitability or priority maps — ranking locations by how well they satisfy several weighted criteria at once. It is the standard framework for spatial decisions such as siting hospitals, solar farms, landfills, or evacuation areas, integrating methods like AHP, TOPSIS, and weighted overlay with spatial data.Least-cost path analysis finds the route between two locations that minimizes accumulated travel cost across a landscape, rather than minimizing straight-line distance. By encoding terrain, slope, land cover, and other frictions into a cost surface and accumulating cost outward from a source, it identifies optimal corridors for roads, pipelines, trails, power lines, and wildlife movement — a core raster-GIS technique built on Dijkstra's shortest-path logic.
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ScholarGateСравнение методов: Map Algebra · GIS-MCDA · Least-Cost Path. Получено 2026-06-19 из https://scholargate.app/ru/compare