Kwakernaak, Huibert Fuzzy random variables - I. Definitions and theorems. (English) Zbl 0438.60004 Inf. Sci. 15, 1-29 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 18 ReviewsCited in 331 Documents MSC: 60A05 Axioms; other general questions in probability 94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory) Keywords:fuzzy random variables; characteristic functions of fuzzy events; conditional expectations and probabilities relating to fuzzy random variables Citations:Zbl 0438.60005 PDFBibTeX XMLCite \textit{H. Kwakernaak}, Inf. Sci. 15, 1--29 (1978; Zbl 0438.60004) Full Text: DOI 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 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.