Document Zbl 0447.28005

Klement, Erich Peter; Schwyhla, Werner; Lowen, Robert

Fuzzy probability measures. (English) Zbl 0447.28005

Fuzzy Sets Syst. 5, 21-30 (1981).

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MSC:

28A99	Classical measure theory
03E72	Theory of fuzzy sets, etc.
03B52	Fuzzy logic; logic of vagueness
28A10	Real- or complex-valued set functions

Keywords:

fuzzy probability measure; fuzzy sigma-algebra

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References:

[1]	Caratheodory, C., Vorlesungen über reelle Funktionen (1968), Chelsea Publishing Company: Chelsea Publishing Company New York · JFM 46.0376.12
[2]	Goguen, J. A., L-fuzzy sets, J. math. Anal. Appl., 18, 145-174 (1967) · Zbl 0145.24404
[3]	Halmos, P. R., Measure Theory (1968), Van Nostrand: Van Nostrand New York · Zbl 0117.10502
[4]	Höhle, U., Maße auf unscharfen Mengen, Gebiete, 36, 179-188 (1976) · Zbl 0325.28013
[5]	Klement, E. P., Fuzzy σ-algebras and fuzzy measurable functions, Fuzzy Sets and Systems, 4, 83-93 (1980) · Zbl 0444.28001
[6]	Ling, C. H., Representation of associative functions, Publ. Math. Debrecen, 12, 189-212 (1965) · Zbl 0137.26401
[7]	Sugeno, M., Theory of fuzzy integrals and its applications, (Dissertation (1974), Tokyo Institute of Technology) · Zbl 0316.60005
[8]	Zadeh, L. A., Fuzzy sets, Information and Control, 8, 338-353 (1965) · Zbl 0139.24606
[9]	Zadeh, L. A., Probability measures of fuzzy events, J. Math. Anal. Appl., 23, 421-427 (1968) · Zbl 0174.49002

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