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Generalized Measure Theory / von Zhenyuan Wang, George J. Klir


This textbook is a significantly revised follow-up to the author's 1993 text, Fuzzy Measure Theory, and is its replacement in graduate courses on Generalized Measure Theory, Fuzzy Measure Theory, Theory of Nonadditive and Monotone Measures. It is an excellent overview of the theory and state-of-the-art applications of generalized/fuzzy measures. It ranges from two introductory chapters covering the necessary background to the fuzzy, choquet and pan-integrals as well as the construction and applications of general measure theory. The text ends with useful glossaries of key concepts and symbols.