### Abstract

The Choquet and the Sugeno integral provide a useful tool in many problems in engineering and social choice where the aggregation of data is required. However, their applicability is somehow restricted because of the special operations used in the construction of these integrals. This survey presents the main ideas and results concerning the construction of a universal integral generalizing both the Choquet and the Sugeno case. For functions with values in the nonnegative real numbers, universal integrals can be defined on arbitrary measurable spaces and for arbitrary monotone measures. A more detailed exposition and the proofs of the propositions can be found in [38].

Original language | English |
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Title of host publication | Quantitative Logic and Soft Computing 2010 |

Subtitle of host publication | Volume 2 |

Editors | Bing-yuan Cao, Guo-jun Wang, Shui-li Chen, Si-zong Guo |

Pages | 39-52 |

Number of pages | 14 |

DOIs | |

Publication status | Published - Dec 1 2010 |

### Publication series

Name | Advances in Intelligent and Soft Computing |
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Volume | 82 |

ISSN (Print) | 1867-5662 |

### Keywords

- Choquet integral
- Sugeno integral
- Universal integral
- aggregation
- pseudo-multiplication

### ASJC Scopus subject areas

- Computer Science(all)

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## Cite this

*Quantitative Logic and Soft Computing 2010: Volume 2*(pp. 39-52). (Advances in Intelligent and Soft Computing; Vol. 82). https://doi.org/10.1007/978-3-642-15660-1_3