Information in vague data sources
Kybernetika (2013)
- Volume: 49, Issue: 3, page 433-445
- ISSN: 0023-5954
Access Full Article
topAbstract
topHow to cite
topMareš, Milan, and Mesiar, Radko. "Information in vague data sources." Kybernetika 49.3 (2013): 433-445. <http://eudml.org/doc/260590>.
@article{Mareš2013,
abstract = {This paper deals with the concept of the “size“ or “extent“ of the information in the sense of measuring the improvement of our knowledge after obtaining a message. Standard approaches are based on the probabilistic parameters of the considered information source. Here we deal with situations when the unknown probabilities are subjectively or vaguely estimated. For the considered fuzzy quantities valued probabilities we introduce and discuss information theoretical concepts.},
author = {Mareš, Milan, Mesiar, Radko},
journal = {Kybernetika},
keywords = {alphabet; data source; entropy; fuzziness; information; triangular norm; alphabet; data source; entropy; fuzziness; information; triangular norm},
language = {eng},
number = {3},
pages = {433-445},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Information in vague data sources},
url = {http://eudml.org/doc/260590},
volume = {49},
year = {2013},
}
TY - JOUR
AU - Mareš, Milan
AU - Mesiar, Radko
TI - Information in vague data sources
JO - Kybernetika
PY - 2013
PB - Institute of Information Theory and Automation AS CR
VL - 49
IS - 3
SP - 433
EP - 445
AB - This paper deals with the concept of the “size“ or “extent“ of the information in the sense of measuring the improvement of our knowledge after obtaining a message. Standard approaches are based on the probabilistic parameters of the considered information source. Here we deal with situations when the unknown probabilities are subjectively or vaguely estimated. For the considered fuzzy quantities valued probabilities we introduce and discuss information theoretical concepts.
LA - eng
KW - alphabet; data source; entropy; fuzziness; information; triangular norm; alphabet; data source; entropy; fuzziness; information; triangular norm
UR - http://eudml.org/doc/260590
ER -
References
top- Bezdek, J. C., Analysis of Fuzzy Information., CRC-Press, Boca Raton 1988. Zbl0648.00013
- Calvo, T., Mayor, G., Mesiar, R., Aggregation Operators., New Trends and Applications, Physica-Verlag, Heidelberg 2002. Zbl0983.00020MR1936383
- Luca, A. De, Termini, S., 10.1016/S0019-9958(72)90199-4, Inform. and Control 20 (1972), 301-312. MR0327383DOI10.1016/S0019-9958(72)90199-4
- Dubois, D., Kerre, E., Mesiar, R., Prade, H., Fuzzy interval analysis., In: Fundamentals of Fuzzy Sets, Kluwer, Dordrecht 2000, pp. 483-581. Zbl0988.26020MR1890240
- Dubois, D., Prade, H., Possibility Theory. An Approach to Computerized Processing of Uncertainty., Plenum Press, New York 1988. Zbl0703.68004MR1104217
- Feinstein, A., Foundations of Information Theory., McGraw-Hill, New York 1957. Zbl0082.34602MR0095087
- Giachetti, R. E., Young, R. E., A parametric representation of fuzzy numbers and their arithmetic operators., Fuzzy Sets and Systems 91 (1997), 185-202. Zbl0920.04008MR1480045
- Hartley, R. V. L., Transmission of information., Bell System Techn. J. 7 (1928), 3, 535-563.
- Havrda, J., Charvát, F., Quantification method of classifications processes. Concept of structural a-entropy., Kybernetika 3 (1967), 1, 30-35. MR0209067
- Fériet, J. Kampé de, Théories de l'information., Springer, Berlin 1974. MR0371504
- Fériet, J. Kampé de, Forte, B., Information et probabilité., C. R. Acad. Sci. Paris, Sér. A 265 1967, 110-114; 142-146; 350-353.
- Kerre, E. E., Wang, X., Reasonable properties for the ordering of fuzzy quantities. Part I., Part II., Fuzzy Sets and Systems 118 (2001), 375-385; 387-405.
- Klement, E. P., Mesiar, R., Pap, E., Triangular Norms., Kluwer, Dordrecht 2000. Zbl1087.20041MR1790096
- Klir, G. J., Folger, T. A., Fuzzy Sets, Uncertainty and Information., Prentice Hall, Englewood Cliffs 1988. Zbl0675.94025MR0930102
- Klir, G. J., 10.1016/S0165-0114(97)00138-3, Fuzzy Sets and Systems 91 (1997), 2, 165-175. Zbl0920.04007MR1480043DOI10.1016/S0165-0114(97)00138-3
- Kolesárová, A., Vivona, D., Entropy of T-sums and T-products of fuzzy numbers., Kybernetika 37 (2001), 2, 127-145. Zbl1265.03020MR1839223
- Mareš, M., Computation Over Fuzzy Quantities., CRC-Press, Boca Raton 1994. Zbl0859.94035MR1327525
- Mareš, M., 10.1016/S0165-0114(97)00136-X, Fuzzy Sets and Systems 91 (1997), 143-154. MR1480041DOI10.1016/S0165-0114(97)00136-X
- Mareš, M., Compenzational vagueness., In: Proc. EUSFLAT'2007 (M. Štepnička, V. Novák, and U. Bodenhofer, eds.), Ostrava 2007, pp. 179-184.
- Mareš, M., Mesiar, R., Verbally generated fuzzy quantities., In: Aggregation Operators. New Trends and Applications(T. Calvo, G. Mayor, and R. Mesiar (eds.), Physica-Verlag, Heidelberg 2002, pp. 291-353. Zbl1039.68128MR1936394
- Mareš, M., Mesiar, R., Information in granulated data sources., In: Proc. Internat. Conf. on Soft Computing, Computing with Words and Perceptions in Systems (W. Pedrycz, R. Aliev, Mo Jamshidi, and B. Turksen, eds.), Antalya 2007.
- Mesiar, R., 10.1016/S0165-0114(97)00143-7, Fuzzy Sets and Systems 91 (1997), 73-78. MR1480048DOI10.1016/S0165-0114(97)00143-7
- Mesiar, R., Saminger, S., 10.1007/s00500-003-0315-x, Soft Computing 8 (2004), 562-570. Zbl1066.68127DOI10.1007/s00500-003-0315-x
- Nguyen, H. T., 10.1016/0022-247X(78)90045-8, J. Math. Anal. Appl. 64 (1978), 369-380. Zbl0377.04004MR0480044DOI10.1016/0022-247X(78)90045-8
- and, C. Shannon, Weaver, W., A mathematical theory of communication., Bell System Techn. J. 27 (1948), 379-423; 623-653. MR0026286
- Sugeno, M., Theory of Fuzzy Integrals and Its Applications., PhD. Thesis, Tokyo Institute of Technology, 1974.
- Vivona, D., Divari, M., On a conditional information for fuzzy sets., In: Proc. AGOP'2005, Lugano 2005, pp. 147-149.
- Winkelbauer, K., Communication channels with finite past history., In: Trans. Second Prague Conference, Statistical Decision Functions and Random Processes, Prague 1959. Publishing House of the Czechoslovak Academy of Sci., Prague 1960, pp. 685-831. Zbl0161.16904MR0129056
- Zadeh, L. A., 10.1016/S0019-9958(65)90241-X, Inform. and Control 8 (1965), 338-353. Zbl0942.00007MR0219427DOI10.1016/S0019-9958(65)90241-X
- Zadeh, L. A., 10.1016/0020-0255(75)90017-1, Inform. Sci. (1975), Part I: 8, 199-249; Part II: 8, 301-357; Part III: 9, 43-80. Zbl0404.68075DOI10.1016/0020-0255(75)90017-1
- Zadeh, L. A., Fuzzy logic Computing with words., IEEE Trans. Fuzzy Systems 2 (1977), 103-111. Zbl0947.03038
- Zadeh, L. A., 10.1016/0165-0114(78)90029-5, Fuzzy Sets and Systems 1 (1978), 3-28. Zbl0377.04002MR0480045DOI10.1016/0165-0114(78)90029-5
- Zadeh, L. A., Yes, no and relatively., Chemtech (1987), June: 340-344; July: 406-410.
- Zadeh, L. A., From computing with numbers to computing with words - from manipulation of measurements to manipulation of perception., IEEE Trans. Circuits Systems 45 (1999), 105-119. MR1683230
- Zadeh, L. A., The concept of cointensive precisation - A key to mechanization of natural language understanding., In: Proc. IPMU, Paris 2006, pp. 13-15.
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.