Further development of Chebyshev type inequalities for Sugeno integrals and T-(S-)evaluators

Hamzeh Agahi; Radko Mesiar; Yao Ouyang

Kybernetika (2010)

  • Volume: 46, Issue: 1, page 83-95
  • ISSN: 0023-5954

Abstract

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In this paper further development of Chebyshev type inequalities for Sugeno integrals based on an aggregation function H and a scale transformation ϕ is given. Consequences for T-(S-)evaluators are established.

How to cite

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Agahi, Hamzeh, Mesiar, Radko, and Ouyang, Yao. "Further development of Chebyshev type inequalities for Sugeno integrals and T-(S-)evaluators." Kybernetika 46.1 (2010): 83-95. <http://eudml.org/doc/37711>.

@article{Agahi2010,
abstract = {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.},
author = {Agahi, Hamzeh, Mesiar, Radko, Ouyang, Yao},
journal = {Kybernetika},
keywords = {Sugeno integral; fuzzy measure; comonotone functions; Chebyshev's inequality; t-norm; t-conorm; T-(S-)evaluators; fuzzy measure; Sugeno integral; comonotone functions; Chebyshev's inequality; t-norm; t-conorm; T-(S-)evaluators},
language = {eng},
number = {1},
pages = {83-95},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Further development of Chebyshev type inequalities for Sugeno integrals and T-(S-)evaluators},
url = {http://eudml.org/doc/37711},
volume = {46},
year = {2010},
}

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
PB - Institute of Information Theory and Automation AS CR
VL - 46
IS - 1
SP - 83
EP - 95
AB - 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.
LA - eng
KW - Sugeno integral; fuzzy measure; comonotone functions; Chebyshev's inequality; t-norm; t-conorm; T-(S-)evaluators; fuzzy measure; Sugeno integral; comonotone functions; Chebyshev's inequality; t-norm; t-conorm; T-(S-)evaluators
UR - http://eudml.org/doc/37711
ER -

References

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