Keywords: information measure; uncertainty; randomness; vagueness; imprecision; information source; alphabet; message
@article{KYB_2011_47_1_a10,
author = {Mare\v{s}, Milan},
title = {Information {Measures} and {Uncertainty} of {Particular} {Symbols}},
journal = {Kybernetika},
pages = {144--163},
year = {2011},
volume = {47},
number = {1},
mrnumber = {2807870},
zbl = {1208.94036},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_2011_47_1_a10/}
}
Mareš, Milan. Information Measures and Uncertainty of Particular Symbols. Kybernetika, Tome 47 (2011) no. 1, pp. 144-163. http://geodesic.mathdoc.fr/item/KYB_2011_47_1_a10/
[1] Benvenuti, P.: L’Opera Scientifica. Universitá La Sapienza, Roma 2004.
[2] Benvenuti, P., Vivona, D., Divari, M.: Order relations for fuzzy sets and entropy measure. In: New Trends in Fuzzy Systems (D. Mancini, M. Squillante, and A. Ventre, eds.). World Scientific 1998, pp. 224–232.
[3] Calvo, T., Mayor, G., (eds.), R. Mesiar: Aggregation Operators. Physica-Verlag, Heidelberg 2002. | MR | Zbl
[4] Luca, A. De, Termini, S.: A definition of a non probabilistic entropy in the setting of fuzzy set theory. Inform. and Control 20 (1972), 301–312. | DOI | MR
[5] Dubois, D., Kerre, E., Mesiar, R., Prade, H.: Fuzzy interval analysis. In: Fundamentals of Fuzzy Sets. Kluwer, Dordrecht 2000, pp. 483–581. | MR | Zbl
[6] Feinstein, A.: Foundations of Information Theory. McGraw-Hill, New York 1957. | MR
[7] Fisher, R. A.: Statistical Methods for Research Workers. Olivier and Boyd, Edinburgh 1932.
[8] Gintis, H.: Game Theory Evolving. Princeton Univ. Press, Princenton 2009. | Zbl
[9] Gura, Ein-Ya, Maschler, M. B.: Insight Into Game Theory. Cabridge Univ. Press, Cambridge 2009. | MR
[10] Hung, W.-L., Yang, M-S.: Fuzzy entropy on intuicionistic fuzzy sets. Internat. J. Intelligent Systems 21 (2006), 443–451. | DOI
[11] Fériet, J.-M. Kampé de: La théorie general de l’information et la mesure subjective de l’information. In: Lecture Notes in Math. 398, Springer-Verlag, Heidelberg 1974, pp. 1–35.
[12] Fériet, J.-M. Kampé de, Forte, B.: Information et probabilité. C. R. Acad. Sci. Paris 265 (1967), 110–114, 142–146, 350–353.
[13] Klir, G. J., Folger, T. A.: Fuzzy Sets, Uncertainty and Information. Prentice Hall, Englewood Cliffs, 1988. | MR | Zbl
[14] Klir, G. J., Wang, Zhenyuan: Generalized Measure Theory. Springer, Berlin 2009. | MR | Zbl
[15] Kolesárová, A., Vivona, D.: Entropy of T-sums and T-products of L-R fuzzy numbers. Kybernetika 37 (2001), 2, 127–145. | MR | Zbl
[16] Mareš, M.: Computation Over Fuzzy Quantities. CRC-Press, Boca Raton 1994. | MR
[17] Mareš, M.: Weak arithmetics of fuzzy numbers. Fuzzy Sets and Systems 91 (1997), 2, 143–154. | DOI | MR
[18] Mareš, M.: Fuzzy components of cooperative market. In: Perception-Based Data Mining and Decision Making in Economics and Finance. (I. Batyrshin and J. Kacprzyk, eds.), Physica-Verlag, Heidelberg 2007.
[19] Mareš, M., Mesiar, R.: Information in granulated data source. In: Proc. ICSCCW-2007 (W. Pedrycz, R. Aliev, Mo. Jamshidi, and B. Turksen, eds.), b-Quadrat Verlag, Antalya 2007, pp. 185–194.
[20] Quing, Ming, Li, Tian-Rui: Some properties and new formulae of fuzzy entropy. In: Proc. 2004 IEEE Internat. Conf. on Networking, Sensing and Control, Vol. I, pp. 401–406.
[21] Narens, L.: Abstract Measurement Theory. MIT Press, London 1985. | MR | Zbl
[22] Nelsen, R. B.: An Introduction to Copulas. Springer, New York 2006. | MR | Zbl
[23] Neumann, J. von, Morgenstern, O.: Theory of Games and Economic Behaviour. Princeton Univ. Press, Princeton 1944. | MR
[24] Pawlak, Z.: Rough Sets. Kluwer, Dordrecht 1991. | Zbl
[25] Rényi, A.: On measures of entropy and information. In: Proc. Fourth Berkeley Symp. on Math. Statistics and Probability 1961, Vol. 1, pp. 547–561. | MR
[26] Shannon, C., Weaver, W.: A mathematical theory of communication. Bell Systems Technical Journal 27 (1948), 379–423, 623–653. | DOI | MR
[27] Wiener, N.: Cybernetics or Control and Communication in the Animal and the Machine. Cambridge Univ. Press, Cambridge 1948. | MR
[28] Wiener, N., Rosenblueth, A., Bigelow, J.: Behaviour, purpose and teleology. Philosophy of Science 10 (1943), 1, 18–24. | DOI
[29] Winkelbauer, K.: Communication channels with finite past history. In: Trans. Second Prague Conference on Information Theory etc., Publ. House of ČSAV, Prague 1960. | MR | Zbl
[30] Min, Yao, Sen, Zhang: Generalized fuzzy entropy and its applications. In: Proc. 4th Internat. Conf. on Signal Processing 1998, Vol. 2, pp. 1197–1200.
[31] Zadeh, L. A.: Fuzzy sets. Inform. and Control 8 (1965), 3, 338–353. | DOI | MR | Zbl
[32] Zadeh, L. A.: From computing with numbers to computing with words. IEEE Trans. Circuits and Systems 45 (1999), 105–109. | MR | Zbl