Soft Methods in Probability, Statistics and Data Analysis
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Classical probability theory and mathematical statistics ap- pear sometimes too rigid for real life problems, especially while dealing with vague data or imprecise requirements. These problems have motivated many researchers to "soften" the classical theory. Some "softening" approaches utilize concepts and techniques developed in theories such as fuzzy sets theory, rough sets, possibility theory, theory of be- lief functions and imprecise probabilities, etc. Since in- teresting mathematical models and methods have been proposed in the frameworks of various theories, this text brings to- gether...
Classical probability theory and mathematical statistics ap- pear sometimes too rigid for real life problems, especially while dealing with vague data or imprecise requirements. These problems have motivated many researchers to "soften" the classical theory. Some "softening" approaches utilize concepts and techniques developed in theories such as fuzzy sets theory, rough sets, possibility theory, theory of be- lief functions and imprecise probabilities, etc. Since in- teresting mathematical models and methods have been proposed in the frameworks of various theories, this text brings to- gether experts representing different approaches used in soft probability, statistics and data analysis.
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