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Optimization of the geomodeling processes using probabilistic and fuzzy data

Supervisor: doc. Mgr. Andrea Stupňanová, PhD.


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Project description:The mathematical interpretation of data and used mathematical methods have an important role in the geodata modeling process in geoinformatics, geodynamics and cartography. Aim of the project is theoretical research in the field of optimization of these processes using aggregation functions, fuzzy arithmetic, fuzzy integrals,numbers and copulas, also fractals. In the optimization of the creation of spatial prediction models we will focus on the application of multi-criteria decision using aggregation functions. The use of fuzzy arithmetic and copulas is innovative for deformation modeling in geodetic networks for classical geodetic and satellite measurements. In the field of transformations we focus on optimization of distortion on the mapping surface area by using the generalized integral calculus in the creation of variational, minimax projections, and in the class of map projections. We also expect further theoretical results in uncertainty modeling and their implementation in the geomodeling processes.
Kind of project:VEGA ()
Department:Department of Building Structures (FCE)
Project identification:1/0682/16
Project status:In process of execution
Project start date :01. 01. 2016
Project close date:31. 12. 2019
Number of workers in the project:2
Number of official workers in the project:0