Fuzzy Data Analysis

Fuzzy data such as marks, scores, verbal evaluations, imprecise observations, experts' opinions and grey tone pictures, are quite common. In __Fuzzy Data Analysis__ the authors collect their recent results providing the reader with ideas, approaches and methods for processing such data when looking for sub-structures in knowledge bases for an evaluation of functional relationship, e.g. in order to specify diagnostic or control systems. The modelling presented uses ideas from fuzzy set theory and the suggested methods solve problems usually tackled by data analysis if the data are real numbers. __Fuzzy Data Analysis__ is self-contained and is addressed to mathematicians oriented towards applications and to practitioners in any field of application who have some background in mathematics and statistics. Front Matter....Pages i-xii Introduction....Pages 1-8 Basic notions on fuzzy theory....Pages 9-59 Basic notions of data analysis....Pages 61-87 Fuzzy data....Pages 89-120 Qualitative analysis....Pages 121-183 Quantitative analysis....Pages 185-239 Evaluation of methods in fuzzy data analysis....Pages 241-306 Back Matter....Pages 307-343