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Functional equations and information measures with preference. (English) Zbl 0385.94008


MSC:

94A17 Measures of information, entropy
94A50 Theory of questionnaires
39B99 Functional equations and inequalities
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References:

[1] J. Aczél: Lectures on Functional Equations and their Applications. Academic Press, New York 1966. · Zbl 0139.09301
[2] J. Aczél Z. Daroczy: On Measures of Information and their characterizations. Academic Press, London 1975. · Zbl 0345.94022
[3] M. Belis S. Guiaşu: A quantitative-qualitative measure of information in cybernetic systems. IEEE Trans. Information Theory 14 (1968), 593 - 594.
[4] B. Bouchon: Useful Information and Questionnaires. Information and Control 13 (1976), 368-378. · Zbl 0356.94019 · doi:10.1016/S0019-9958(76)90279-5
[5] T. W. Chaundy J. B. McLeod: On a functional Equation. Proc. Edinburgh Math. Soc. [2] 12 (1960) · Zbl 0100.32703 · doi:10.1017/S0950184300003244
[6] H. Emptoz: Information de type \(\beta\) intégrant un concept d’utilité. C. R. Acad. Sci Paris 282A (1976), 911-914. · Zbl 0327.94021
[7] S. Giaşu: Weighted Entropy. Reports on Mathematical Physics 2 (1971), 165-179. · Zbl 0222.62004
[8] Pl. Kannappan: On Shannon’s Entropy, Directed Divergence and Inaccuracy. Z. Wahrscheinlichkeitstheorie und verw. Gebiete 22 (1972), 95-100. · Zbl 0241.94020 · doi:10.1007/BF00532728
[9] Pl. Kannappan: On Directed Divergence and Inaccuracy. Z. Wahrscheinlichkeitstheorie und verw. Gebiete 25 (1972), 49-55. · Zbl 0248.94029 · doi:10.1007/BF00533335
[10] D. F. Kerridge: Inaccuracy and Inference. J. Roy. Statist. Soc. ser. B 23 (1961), 184-194. · Zbl 0112.10302
[11] C. F. Picard: Graphes et Questionnaires. Gauthier-Villars, Paris 1972. · Zbl 0266.94018
[12] C. F. Picard: Propriétés d’additivité de l’information de type \(\beta\). C. R. Acad. Sci. Paris 282/1 (1976), 915-918. · Zbl 0327.94022
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