Aggregation operators and fuzzy measures on hypographs
Kybernetika (2002)
- Volume: 38, Issue: 3, page [245]-257
- ISSN: 0023-5954
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topVivona, 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- Benvenuti P., Vivona D., Comonotone aggregation operators, Rend. Mat. 20 (2000), 323–336 Zbl0999.28011MR1823104
- Benvenuti P., Vivona, D., Divari M., Characterization of comonotone aggregation operators, In: Proc. EUSFLAT, Palma de Mallorca 1999, pp. 367–370 (1999)
- Benvenuti P., Vivona, D., Divari M., General integral and fuzzy measures on subgraphs, In: VIII. IPMU, Madrid 2000, vol. II, pp. 1173–1176
- 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
- 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
- Birkhoff G., Lattice Theory, Amer. Math. Soc., Providence, RI 1967 Zbl0537.06001MR0227053
- Calvo T., Kolesárová A., Komorníková, M., Mesiar R., A Review on Aggregation Operators, University of Alcalá, Alcalá de Henares, Madrid 2001
- Imaoka H., 10.1142/S0218488597000403, Internat. J. Uncertainty, Fuzziness and Knowledge–Based Systems 5 (1997), 517–529 (1997) Zbl1232.68132MR1480749DOI10.1142/S0218488597000403
- Klement E. P., Mesiar, R., Pap E., Triangular Norms, Kluwer, Dordrecht 2000 Zbl1087.20041MR1790096
- Klement E. P., Mesiar, R., Pap E., A geometric approach to aggregation, In: Proc. EUSFLAT 2001, Leicester 2001, pp. 466–469
- Mesiar R., Komorníková M., Aggregation operators, In: Proc. Prim. 36, XI Conference on Applied Mathematics, Novi Sad 1997, pp. 173–211 (1997) Zbl0960.03045MR1492233
- Mostert P. S., Shields A. L., 10.2307/1969668, Ann. Math. 65 (1957), 117–143 (1957) MR0084103DOI10.2307/1969668
- Vivona D., Mathematical aspects of the theory of measures of fuzziness, Mathware and Math. Soft Comp. 3 (1996), 211–224 (1996) Zbl0859.04007MR1414268
- Wang Z., Klir G. J., Fuzzy Measure Theory, Plenum Press, New York 1992 Zbl0812.28010MR1212086
- 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
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