Chiţescu, Ion Why \(\lambda\)-additive (fuzzy) measures? (English) Zbl 1363.28022 Kybernetika 51, No. 2, 246-254 (2015). 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. Cited in 3 Documents MSC: 28E05 Nonstandard measure theory 28E10 Fuzzy measure theory Keywords:generalized measure (probability); \(\lambda\)-additive measure; functional equation PDF BibTeX XML Cite \textit{I. Chiţescu}, Kybernetika 51, No. 2, 246--254 (2015; Zbl 1363.28022) Full Text: DOI References: [1] Aczel, J.: Lectures on Functional Equations and Their Applications. Dover Publications, Inc. Mineola, New York 2006. · Zbl 0139.09301 [2] Sugeno, M.: Theory of Fuzzy Integrals and Its Applications. Doctoral Dissertation, Tokyo Institute of Technology, 1974. [3] Wang, Z.: Une classe de mesures floues - les quasi-mesures. BUSEFAL 6 (1981), 28-37. [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.