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Why \(\lambda\)-additive (fuzzy) measures? (English) Zbl 1363.28022
Summary: The paper is concerned with generalized (i.e., monotone and possibly non-additive) measures. A discussion concerning the classification of these measures, according to the type and amount of non-additivity, is done. It is proved that \(\lambda\)-additive measures appear naturally as solutions of functional equations generated by the idea of (possible) non additivity.

28E05 Nonstandard measure theory
28E10 Fuzzy measure theory
Full Text: DOI
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[4] Wang, Z., Klir, G.: Generalized Measure Theory. Springer (IFSR Internat. Ser. Systems Sci. Engrg. 25) (2009). · Zbl 1184.28002 · doi:10.1007/978-0-387-76852-6
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