| Title:
|
Information Measure for Vague Symbols (English) |
| Author:
|
Mareš, Milan |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
50 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
89-94 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
information source |
| Keyword:
|
alphabet |
| Keyword:
|
fuzzy information |
| Keyword:
|
vague information |
| Keyword:
|
information measures |
| Keyword:
|
symbol |
| Keyword:
|
fuzzy entropy |
| MSC:
|
03E72 |
| MSC:
|
62B86 |
| MSC:
|
94A17 |
| idZBL:
|
Zbl 1244.94023 |
| idMR:
|
MR2920710 |
| . |
| Date available:
|
2011-12-16T14:50:40Z |
| Last updated:
|
2013-09-18 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141756 |
| . |
| Reference:
|
[1] De Luca, A., Termini, S.:: A definition of a non-probabilistic entropy in the setting of fuzzy set theory. Information and Control 20 (1972), 301–312. MR 0327383, 10.1016/S0019-9958(72)90199-4 |
| Reference:
|
[2] Forte, B.: Measures of information. The general axiomatic theory. RAIRO Information Theory, Appl. 3 (1979), 63–90. MR 0260479 |
| Reference:
|
[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. |
| Reference:
|
[4] Kolesárová, A., Vivona, D.: Entropy of T-sums and T-products of L-R fuzzy numbers. Kybernetika 37 (2001), 127–145. Zbl 1265.03020, MR 1839223 |
| Reference:
|
[5] Mareš, M.: Weak arithmetics of fuzzy numbers. Fuzzy Sets and Systems 91, 2 (1997), 143–154. MR 1480041, 10.1016/S0165-0114(97)00136-X |
| Reference:
|
[6] Mareš, M.: Information measures and uncertainty of particular symbols. Kybernetika 46, 1 (2011), 144–163. Zbl 1208.94036, MR 2807870 |
| Reference:
|
[7] Mareš, M.: Entropies of vague information sources. Kybernetika (submitted). |
| Reference:
|
[8] Shannon, C. E., Weaver, W.: A mathematical theory of communication. Bell. Syst. Techn. J. 27 (1948), 379–423, 623–653. MR 0026286, 10.1002/j.1538-7305.1948.tb01338.x |
| Reference:
|
[9] Zadeh, L. A.: Fuzzy sets. Information and Control 8, 3 (1965), 338–353. Zbl 0139.24606, MR 0219427, 10.1016/S0019-9958(65)90241-X |
| . |
