A collector for information without probability in a fuzzy setting

Doretta Vivona; Maria Divari

Kybernetika (2005)

  • Volume: 41, Issue: 3, page [389]-396
  • ISSN: 0023-5954

Abstract

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In the fuzzy setting, we define a collector of fuzzy information without probability, which allows us to consider the reliability of the observers. This problem is transformed in a system of functional equations. We give the general solution of that system for collectors which are compatible with composition law of the kind “inf”.

How to cite

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Vivona, Doretta, and Divari, Maria. "A collector for information without probability in a fuzzy setting." Kybernetika 41.3 (2005): [389]-396. <http://eudml.org/doc/33761>.

@article{Vivona2005,
abstract = {In the fuzzy setting, we define a collector of fuzzy information without probability, which allows us to consider the reliability of the observers. This problem is transformed in a system of functional equations. We give the general solution of that system for collectors which are compatible with composition law of the kind “inf”.},
author = {Vivona, Doretta, Divari, Maria},
journal = {Kybernetika},
keywords = {information measure; system of functional equations; information measure; system of functional equations},
language = {eng},
number = {3},
pages = {[389]-396},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A collector for information without probability in a fuzzy setting},
url = {http://eudml.org/doc/33761},
volume = {41},
year = {2005},
}

TY - JOUR
AU - Vivona, Doretta
AU - Divari, Maria
TI - A collector for information without probability in a fuzzy setting
JO - Kybernetika
PY - 2005
PB - Institute of Information Theory and Automation AS CR
VL - 41
IS - 3
SP - [389]
EP - 396
AB - In the fuzzy setting, we define a collector of fuzzy information without probability, which allows us to consider the reliability of the observers. This problem is transformed in a system of functional equations. We give the general solution of that system for collectors which are compatible with composition law of the kind “inf”.
LA - eng
KW - information measure; system of functional equations; information measure; system of functional equations
UR - http://eudml.org/doc/33761
ER -

References

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  2. Aczél J., Forte, B., Ng C. T., On a triangular functional equation and some application, in particular to the generalized theory of information, Aequationes Math. XI (1974), 11–30 (1974) MR0352760
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  12. Fériet J. Kampé de, La Theorie Generale de L’Information et La Misure Subjective de L’Information, In: Lectures Notes in Mathematics 398, Springer–Verlag, Heidelberg 1974, pp. 1–35 (1974) 
  13. Fériet J. Kampé de, Forte, B., Benvenuti P., Forme générale de l’opération de composition continue d’une information, C. R. Acad. Sci. Paris 269 (1969), 529–534 (1969) MR0252110
  14. Klement E. P., Mesiar, R., Pap E., Triangular Norms, Kluwer Academic Publishers, Dordrecht 2000 Zbl1087.20041MR1790096
  15. Maschio G., Note di teoria dell’informazione, In: Quaderno dei gruppi di ricerca del C.N.R. 97 (1972) (1972) 
  16. Vivona D., Divari M., On a collector of ∧ -compositive informations, In: Proc. IPMU’04, 2004, pp. 1199–1203 
  17. Zadeh L. A., 10.1016/S0019-9958(65)90241-X, Inform. and Control 8 (1965), 338–353 (1965) Zbl0139.24606MR0219427DOI10.1016/S0019-9958(65)90241-X

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