Information Measure for Vague Symbols

Milan Mareš

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2011)

  • Volume: 50, Issue: 2, page 89-94
  • ISSN: 0231-9721

Abstract

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The structures of the fuzzy information theory are focused on the concept of fuzzy entropy, where the individual information of symbols is considered only implicitely. This paper aims to fill this gap and to study the concepts of fuzzy information. Special attention is paid to the typical fuzzy set theoretical paradigma of monotonicity of operations.

How to cite

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Mareš, Milan. "Information Measure for Vague Symbols." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 50.2 (2011): 89-94. <http://eudml.org/doc/196929>.

@article{Mareš2011,
abstract = {The structures of the fuzzy information theory are focused on the concept of fuzzy entropy, where the individual information of symbols is considered only implicitely. This paper aims to fill this gap and to study the concepts of fuzzy information. Special attention is paid to the typical fuzzy set theoretical paradigma of monotonicity of operations.},
author = {Mareš, Milan},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {information source; alphabet; fuzzy information; vague information; information measures; symbol; fuzzy entropy; information source; alphabet; fuzzy information; vague information; information measures; symbol; fuzzy entropy},
language = {eng},
number = {2},
pages = {89-94},
publisher = {Palacký University Olomouc},
title = {Information Measure for Vague Symbols},
url = {http://eudml.org/doc/196929},
volume = {50},
year = {2011},
}

TY - JOUR
AU - Mareš, Milan
TI - Information Measure for Vague Symbols
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2011
PB - Palacký University Olomouc
VL - 50
IS - 2
SP - 89
EP - 94
AB - The structures of the fuzzy information theory are focused on the concept of fuzzy entropy, where the individual information of symbols is considered only implicitely. This paper aims to fill this gap and to study the concepts of fuzzy information. Special attention is paid to the typical fuzzy set theoretical paradigma of monotonicity of operations.
LA - eng
KW - information source; alphabet; fuzzy information; vague information; information measures; symbol; fuzzy entropy; information source; alphabet; fuzzy information; vague information; information measures; symbol; fuzzy entropy
UR - http://eudml.org/doc/196929
ER -

References

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  1. De Luca, A., Termini, S.:, 10.1016/S0019-9958(72)90199-4, Information and Control 20 (1972), 301–312. (1972) MR0327383DOI10.1016/S0019-9958(72)90199-4
  2. Forte, B., Measures of information. The general axiomatic theory, RAIRO Information Theory, Appl. 3 (1979), 63–90. (1979) MR0260479
  3. Kampé de Fériet, J.-M., La théorie general de l’information et la mesure subjective de l’information, In: Lecture Notes in Math. 398 Springer Verlag, Heidelberg, 1974, 1–35. (1974) 
  4. Kolesárová, A., Vivona, D., Entropy of T-sums and T-products of L-R fuzzy numbers, Kybernetika 37 (2001), 127–145. (2001) Zbl1265.03020MR1839223
  5. Mareš, M., 10.1016/S0165-0114(97)00136-X, Fuzzy Sets and Systems 91, 2 (1997), 143–154. (1997) MR1480041DOI10.1016/S0165-0114(97)00136-X
  6. Mareš, M., Information measures and uncertainty of particular symbols, Kybernetika 46, 1 (2011), 144–163. (2011) Zbl1208.94036MR2807870
  7. Mareš, M., Entropies of vague information sources, Kybernetika (submitted). 
  8. Shannon, C. E., Weaver, W., 10.1002/j.1538-7305.1948.tb01338.x, Bell. Syst. Techn. J. 27 (1948), 379–423, 623–653. (1948) MR0026286DOI10.1002/j.1538-7305.1948.tb01338.x
  9. Zadeh, L. A., 10.1016/S0019-9958(65)90241-X, Information and Control 8, 3 (1965), 338–353. (1965) Zbl0139.24606MR0219427DOI10.1016/S0019-9958(65)90241-X

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