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General approaches of MCA may be used in many areas of decision-making processes. Chapter 4 showed its applications for data models of digital geoinformation and the evaluation of their functionality. The following text is dedicated to the use of MCA for solutions of geo-process models. To illustrate the complexity of the method of solution, an example of modelling of passing through terrain with off-road vehicles was chosen.

Multi-criteria analysis can be used to evaluate functionality of digital data or to analyze geographic conditions in a given space. The following text describes the use of multi-criteria analysis for improving the utility qualities of DGI.

Multivariate techniques are quite frequent and complex. They have mathematical basis in multi-criterial analysis for decision-making processes.

The content of this article is a paper about a complex mathematical model of terrain passability which respects geographical and meteorological conditions in terrain and about its adaptation for calculation in the environment of geo-information systems (GIS). The model of terrain passability is based on measurable factors that characterize the natural environment, which is possible to calculate from the data saved in GIS databases. When calculating parameters for a complex model, it is necessary to consider data quality which influences the level of vagueness of the resulting calculations. To express this level of vagueness, a method of fuzzy functions was chosen and then it was applied when calculating the individual deceleration coefficients given by the natural factors. The method of cost map was chosen for the final evaluation of possibilities of vehicles movement. The complete procedure was debugged in the environment of ArcGIS 10.

The main activities of armed forces take place in the terrain. Knowledge of terrain impact on such activities is very substantial for their achievement. Terrain impact on chosen activities can be described using mathematical models and these can be applied in GIS. Beside the quality of mathematical models, the quality of used data, mainly their vagueness, has fundamental influence on final results of terrain analysis. When calculating parameters for complex models, it is necessary to consider data quality which influences the level of vagueness of the resulting calculations. To express this level of vagueness, a method of fuzzy logic was chosen and then fuzzy functions were used when calculating chosen tasks—model of terrain passability and model of helicopter landing sites selection. The complete procedures were applied in the environment of ArcGIS 10.

Geographic support of decision-making processes is based on various geographic products, usually in digital form, which come from various foundations and sources. Each product can be characterized by its quality or by its utility value for the given type of task or group of tasks, for which the product is used. They also usually have different characteristics and thus can very significantly influence the resulting analytical material. The aim of the paper is to contribute to the solution of the question of how it is possible to work with diverse spatial geographic information so that the user has an idea about the resulting product. The concept of fuzzy sets is used for representation of classes, whose boundaries are not clearly (not sharply) set, namely, the fuzzy approach in overlaying operations realized in ESRI ArcGIS environment. The paper is based on a research project which is being solved at the Faculty of Military Technologies of the University of Defence. The research deals with the influence of geographic and climatic factors on the activity of armed forces and the Integrated Rescue System.