# Twofold integral and multi-step Choquet integral

Kybernetika (2004)

- Volume: 40, Issue: 1, page [39]-50
- ISSN: 0023-5954

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topNarukawa, Yasuo, and Torra, Vicenç. "Twofold integral and multi-step Choquet integral." Kybernetika 40.1 (2004): [39]-50. <http://eudml.org/doc/33684>.

@article{Narukawa2004,

abstract = {In this work we study some properties of the twofold integral and, in particular, its relation with the 2-step Choquet integral. First, we prove that the Sugeno integral can be represented as a 2-step Choquet integral. Then, we turn into the twofold integral studying some of its properties, establishing relationships between this integral and the Choquet and Sugeno ones and proving that it can be represented in terms of 2-step Choquet integral.},

author = {Narukawa, Yasuo, Torra, Vicenç},

journal = {Kybernetika},

keywords = {aggregation; Choquet and Sugenointegrals; multi-step integral; twofold integral; aggregation; Choquet integral; Sugeno integral; multi-step integral; twofold integral},

language = {eng},

number = {1},

pages = {[39]-50},

publisher = {Institute of Information Theory and Automation AS CR},

title = {Twofold integral and multi-step Choquet integral},

url = {http://eudml.org/doc/33684},

volume = {40},

year = {2004},

}

TY - JOUR

AU - Narukawa, Yasuo

AU - Torra, Vicenç

TI - Twofold integral and multi-step Choquet integral

JO - Kybernetika

PY - 2004

PB - Institute of Information Theory and Automation AS CR

VL - 40

IS - 1

SP - [39]

EP - 50

AB - In this work we study some properties of the twofold integral and, in particular, its relation with the 2-step Choquet integral. First, we prove that the Sugeno integral can be represented as a 2-step Choquet integral. Then, we turn into the twofold integral studying some of its properties, establishing relationships between this integral and the Choquet and Sugeno ones and proving that it can be represented in terms of 2-step Choquet integral.

LA - eng

KW - aggregation; Choquet and Sugenointegrals; multi-step integral; twofold integral; aggregation; Choquet integral; Sugeno integral; multi-step integral; twofold integral

UR - http://eudml.org/doc/33684

ER -

## References

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