Bandemer H., Näther W. Fuzzy Data Analysis

Springer, 1992. — 351 p.Having been concerned with problems of mathematical statistics in the sixtieth and seventieth, especially with regression analysis and optimal experimental design, we noticed that the hard conditions about the model and the probability law are rarely satisfied and checked in practice, and that classical probability theory usually models and takes into account only a small part of all the useful side and prior information available from the given practical problem, e.g. w.r.t. impreciseness and coarseness of sensors, trustworthiness of results, and experts' statements and their usual vagueness. Hence we looked for other possibilities and came into contact with fuzzy set theory. Our first attempts in using this theory for modelling data and their analysing were stimulated by practical problems and, in the course of time, also theoretical problems became interesting. Under the very restrictive conditions as valid in the former GDR for publications in Western countries we decided on launching the main part of our early results in three small booklets within a series of research paper collections (Freiberger Forschungshefte D170, D187, D197, Deutscher Verlag für Grundstoffindustrie, Leipzig, 1985, 1988, 1990). Now both, the extent of results and the possibilities of publication, put us in the position of writing the present book.Basic notions
Basic notions of data analysis
Fuzzy data
Qualitative analysis
Quantitative analysis
Evaluation of methods