Aggregation operators and fuzzy measures on hypographs

Doretta Vivona; Maria Divari

Kybernetika (2002)

  • Volume: 38, Issue: 3, page [245]-257
  • ISSN: 0023-5954

Abstract

top
In a fuzzy measure space we study aggregation operators by means of the hypographs of the measurable functions. We extend the fuzzy measures associated to these operators to more general fuzzy measures and we study their properties.

How to cite

top

Vivona, Doretta, and Divari, Maria. "Aggregation operators and fuzzy measures on hypographs." Kybernetika 38.3 (2002): [245]-257. <http://eudml.org/doc/33580>.

@article{Vivona2002,
abstract = {In a fuzzy measure space we study aggregation operators by means of the hypographs of the measurable functions. We extend the fuzzy measures associated to these operators to more general fuzzy measures and we study their properties.},
author = {Vivona, Doretta, Divari, Maria},
journal = {Kybernetika},
keywords = {aggregation operator; hypograph; aggregation operator; hypograph},
language = {eng},
number = {3},
pages = {[245]-257},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Aggregation operators and fuzzy measures on hypographs},
url = {http://eudml.org/doc/33580},
volume = {38},
year = {2002},
}

TY - JOUR
AU - Vivona, Doretta
AU - Divari, Maria
TI - Aggregation operators and fuzzy measures on hypographs
JO - Kybernetika
PY - 2002
PB - Institute of Information Theory and Automation AS CR
VL - 38
IS - 3
SP - [245]
EP - 257
AB - In a fuzzy measure space we study aggregation operators by means of the hypographs of the measurable functions. We extend the fuzzy measures associated to these operators to more general fuzzy measures and we study their properties.
LA - eng
KW - aggregation operator; hypograph; aggregation operator; hypograph
UR - http://eudml.org/doc/33580
ER -

References

top
  1. Benvenuti P., Vivona D., Comonotone aggregation operators, Rend. Mat. 20 (2000), 323–336 Zbl0999.28011MR1823104
  2. Benvenuti P., Vivona, D., Divari M., Characterization of comonotone aggregation operators, In: Proc. EUSFLAT, Palma de Mallorca 1999, pp. 367–370 (1999) 
  3. Benvenuti P., Vivona, D., Divari M., General integral and fuzzy measures on subgraphs, In: VIII. IPMU, Madrid 2000, vol. II, pp. 1173–1176 
  4. Benvenuti P., Vivona, D., Divari M., Aggregation operators and associated fuzzy measures, In: V. International FSTA Conference, Liptovský Mikuláš 2000, pp. 40–44 Zbl1113.68507MR1821988
  5. Benvenuti P., Vivona, D., Divari M., 10.1142/S0218488501000739, Internat. J. Uncertainty, Fuzziness and Knowledge–Based System IX,2 (2001), 197–204 Zbl1113.68507MR1821988DOI10.1142/S0218488501000739
  6. Birkhoff G., Lattice Theory, Amer. Math. Soc., Providence, RI 1967 Zbl0537.06001MR0227053
  7. Calvo T., Kolesárová A., Komorníková, M., Mesiar R., A Review on Aggregation Operators, University of Alcalá, Alcalá de Henares, Madrid 2001 
  8. Imaoka H., 10.1142/S0218488597000403, Internat. J. Uncertainty, Fuzziness and Knowledge–Based Systems 5 (1997), 517–529 (1997) Zbl1232.68132MR1480749DOI10.1142/S0218488597000403
  9. Klement E. P., Mesiar, R., Pap E., Triangular Norms, Kluwer, Dordrecht 2000 Zbl1087.20041MR1790096
  10. Klement E. P., Mesiar, R., Pap E., A geometric approach to aggregation, In: Proc. EUSFLAT 2001, Leicester 2001, pp. 466–469 
  11. Mesiar R., Komorníková M., Aggregation operators, In: Proc. Prim. 36, XI Conference on Applied Mathematics, Novi Sad 1997, pp. 173–211 (1997) Zbl0960.03045MR1492233
  12. Mostert P. S., Shields A. L., 10.2307/1969668, Ann. Math. 65 (1957), 117–143 (1957) MR0084103DOI10.2307/1969668
  13. Vivona D., Mathematical aspects of the theory of measures of fuzziness, Mathware and Math. Soft Comp. 3 (1996), 211–224 (1996) Zbl0859.04007MR1414268
  14. Wang Z., Klir G. J., Fuzzy Measure Theory, Plenum Press, New York 1992 Zbl0812.28010MR1212086
  15. Yager R. R., 10.1016/0165-0114(94)90082-5, Fuzzy Sets and Systems 67 (1994), 129–146 (1994) Zbl0845.93047MR1302575DOI10.1016/0165-0114(94)90082-5

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.