Abstract
Robert Féron invented fuzzy random variables in the mid-seventies. As such, his works deserve due recognition among specialists of soft methods in probability and statistics. This short paper surveys his contributions to information theory, generalized distances, and the joint use of probability and fuzzy set theories. An extensive bibliography of his publications is provided.
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References
Féron, R.: Information et corrélation. Note CRAS 234, 1344–1345 (1952)
Féron, R.: Convexité et information. Note CRAS 234, 1840–1841 (1952)
Féron, R.: De la régression. Note CRAS 234, 2143–2145 (1952)
Féron, R.: Information, Régression, Corrélation. Thèse pour l’obtention du grade de Docteur es Sciences mathématiques (Thèse d’Etat), Pub Inst Stat De l’Univ Paris (1956)
Féron, R.: De l’information. Note CRAS 240, 1945–1947 (1958)
Féron, R.: Espaces à écart de Fréchet. Note CRAS 262, 278–280 (1966)
Féron, R.: Ensembles aléatoires flous. Note CRAS, Ser. A 282, 903–906 (1976)
Féron, R.: Economie d’échange aléatoire floue. Note CRAS, Ser. A 282, 1379–1382 (1976)
Féron, R.: Ensembles flous, ensembles aléatoires flous, et économie aléatoire floue. Publications Econométriques IX(1), 25–64 (1976)
Féron, R.: Ensembles flous attachés un ensemble aléatoire flou. Publications Econométriques IX(2), 51–65 (1976)
Féron, R.: Sur les notions de distance et d’écart dans une structure floue et leurs applications aux ensembles aléatoires flous. Cas où le référentiel n’est pas métrique. Note CRAS, Ser. A 289, 35–38 (1979)
Féron, R.: Ensembles aléatoires flous dont la fonction d’appartenance prend ses valeurs dans un treillis distributif fermé. Publications Econométriques XII(2), 81–118 (1979); Bibliographical addendum XII(2), 63–67
Féron, R.: Probabilistic and statistical study of random fuzzy sets whose referential is ℝN. In: Lasker, G.E. (ed.) Proceedings of the International Congress on Applied Systems Research and Cybernetics (Acapulco, 1980) Applied Systems and Cybernetics. Fuzzy Sets and Systems, Possibility Theory and Special Topics in Systems Research, vol. VI, pp. 2831–2836. Pergamon Press, New York (1981)
Féron, R.: On the notions of distance and deviation in a fuzzy structure. In: Trapple, R., Klir, G., Pichler, F. (eds.) Proceedings of the 5th European Meeting on Cybernetics and Systems Research (Vienna, 1980) Progress in Cybernetics and Systems Research, vol. 8, pp. 443–447. Hemisphere Pub. Corporation, Washington (1982)
Féron, R.: Structure pré-uniforme classique et structure pré-uniforme floue. Note de travail, ERA 639. CNRS-Université Lyon 1 (1987)
Féron, R., Féron, M.: Fuzzy specifications and random fuzzy events considered as basic tools for statistical prediction. Fuzzy Sets Syst 28, 285–293 (1988)
Féron, R., Fourgeaud, C.: Information et régression. Note CRAS 232, 1636–1638 (1951)
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Auray, JP., Prade, H. (2008). Robert Féron: A Pioneer in Soft Methods for Probability and Statistics. In: Dubois, D., Lubiano, M.A., Prade, H., Gil, M.Á., Grzegorzewski, P., Hryniewicz, O. (eds) Soft Methods for Handling Variability and Imprecision. Advances in Soft Computing, vol 48. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85027-4_4
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DOI: https://doi.org/10.1007/978-3-540-85027-4_4
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