Application of Fuzzy Sets to the Subdivision of Geological Units
An automatic subdivision of the lithologic series into units is difficult because of the complexity of available geological information. Classical algorithms usually are based on the assumption that all values of the considered features are given in the numerical form. It is convenient to simplify the analytical process, but it is connected with associate error. Features described in other forms seem to bring us more information about objects. For example, the subject concerns linguistic form — words or sentences from natural or artificial languages, or new forms of describing of data — that is fuzzy sets. We assume that the geological environment is represented by a given set of features, and three forms of describing of data are allowed: numerical, linguistic, and a fuzzy one. Every sample is characterized by a vector. We introduce distances for the considered types of characters and unify their values by transformation to the unit interval. It enables us to determine a simple formula to calculate distances between samples and as a result an algorithm for subdivision of the investigated lithologic series. The algorithm was programmed in FORTRAN IV language for engineering geology problems.
KeywordsMembership Function Fuzzy Cluster Geological Environment Linguistic Term Classical Algorithm
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