Further development of Chebyshev type inequalities for Sugeno integrals and T-(S-)evaluators
Kybernetika, Tome 46 (2010) no. 1, pp. 83-95
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
In this paper further development of Chebyshev type inequalities for Sugeno integrals based on an aggregation function $H$ and a scale transformation $\varphi $ is given. Consequences for T-(S-)evaluators are established.
Classification :
03E72, 06A99, 28E10
Keywords: Sugeno integral; fuzzy measure; comonotone functions; Chebyshev's inequality; t-norm; t-conorm; T-(S-)evaluators
Keywords: Sugeno integral; fuzzy measure; comonotone functions; Chebyshev's inequality; t-norm; t-conorm; T-(S-)evaluators
@article{KYB_2010__46_1_a5,
author = {Agahi, Hamzeh and Mesiar, Radko and Ouyang, Yao},
title = {Further development of {Chebyshev} type inequalities for {Sugeno} integrals and {T-(S-)evaluators}},
journal = {Kybernetika},
pages = {83--95},
publisher = {mathdoc},
volume = {46},
number = {1},
year = {2010},
mrnumber = {2666896},
zbl = {1188.28014},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_2010__46_1_a5/}
}
TY - JOUR AU - Agahi, Hamzeh AU - Mesiar, Radko AU - Ouyang, Yao TI - Further development of Chebyshev type inequalities for Sugeno integrals and T-(S-)evaluators JO - Kybernetika PY - 2010 SP - 83 EP - 95 VL - 46 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/KYB_2010__46_1_a5/ LA - en ID - KYB_2010__46_1_a5 ER -
Agahi, Hamzeh; Mesiar, Radko; Ouyang, Yao. Further development of Chebyshev type inequalities for Sugeno integrals and T-(S-)evaluators. Kybernetika, Tome 46 (2010) no. 1, pp. 83-95. http://geodesic.mathdoc.fr/item/KYB_2010__46_1_a5/