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Topical Session 8: Tools for Analysis of Non-quantitative and Miscellaneous (Non-quantitative and Quantitative) Data. Its Applications

Convener: S. Sirotinskaya (Federal University of the State of Rio Grande do Sul, Brasil)

Today the main part of researches and publications in the field of mathematical geosciences is intended for processing of quantitative data and implementation of statistical methods at this aim. But a significant body of geological data as well as data of some allied fields is descriptive, and these data are given mainly in form of texts and conventional maps. Non-quantitative data (texts, maps) as well as the combinations of them with quantitative ones (tables, contour maps) may be an important source of information for the solution of principal problems in some fields of geosciences. These problems are prediction, evaluation, identification and classification. For example, the need in solution of such problems on the base of non-quantitative data arises usually at the early stages of geological works when it is necessary to evaluate the favorability of areas for the organization of following expensive works or to identify mineral occurrences with the highest potential among hundreds of them. The non-quantitative data may be used also in prediction of geological and ecological hazards (landslides, earthquake). In previous century, several great groups of methods which are based on the deterministic approach have been developed at this aim.These methods are based on tools of discrete mathematics or are heuristic (pattern recognition methods, cluster analysis methods and others). There are also methods based on some theories of computer sciences, including the mathematical logic (cause-effect analysis methods). Unfortunately, the trend of mathematical geosciences aimed at the processing of non-quantitative data and at the development of deterministic methods had no enough attention in the last years.Therefore the papers covering the current state of this area and tracing its future are well come.

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