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Fuzzy random variables - I. Definitions and theorems. (English) Zbl 0438.60004


MSC:

60A05 Axioms; other general questions in probability
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)

Citations:

Zbl 0438.60005
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References:

[1] Gaines, B. R., Stochastic and fuzzy logics, Electron. Letters, 11, 9, 188-189 (1975)
[2] Bellman, R.; Giertz, M., On the analytic formalism of the theory of fuzzy sets, Information Sci., 5, 149-156 (1973) · Zbl 0251.02059
[3] Zadeh, L. A., Probability measures of fuzzy events, J. Math. Anal. Appl., 23, 2, 421-427 (1968) · Zbl 0174.49002
[4] Negoita, C. V.; Ralescu, D. A., Applications of Fuzzy Sets to Systems Analysis (1975), Birkhäuser: Birkhäuser Basel · Zbl 0326.94002
[5] Zadeh, L. A., The concept of a linguistic variable and its application to approximate reasoning—III, Information Sci., 9, 1, 43-80 (1975) · Zbl 0404.68075
[6] Loève, M., Probability Theory (1963), Van Nostrand: Van Nostrand Princeton, N.J · Zbl 0108.14202
[7] Doob, J. L., Stochastic Processes (1953), Wiley: Wiley New York · Zbl 0053.26802
[8] Rutherford, D. E., Introduction to Lattice Theory (1965), Oliver and Boyd: Oliver and Boyd London · Zbl 0127.24904
[9] Kaufmann, A., Introduction à la Théorie des Sous-Ensembles Flous (1973), Masson: Masson Paris · Zbl 0302.02023
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