Generalized Measure Theory (eBook, PDF)

Generalized Measure Theory (eBook, PDF)

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This comprehensive text examines the relatively new mathematical area of generalized measure theory. This area expands classical measure theory by abandoning the requirement of additivity and replacing it with various weaker requirements. Each of these weaker requirements characterizes a class of nonadditive measures. This results in new concepts and methods that allow us to deal with many problems in a more realistic way. For example, it allows us to work with imprecise probabilities.The exposition of generalized measure theory unfolds systematically. It begins with preliminaries and new conc...

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