Talk:Choquet integral

	Mathematics portal This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics
Low	This article has been rated as Low-priority on the project's priority scale.

Game theory Low‑importance

	This article is part of WikiProject Game theory, an attempt to improve, grow, and standardize Wikipedia's articles related to Game theory. We need your help! Join in \| Fix a red link \| Add content \| Weigh inGame theoryWikipedia:WikiProject Game theoryTemplate:WikiProject Game theorygame theory
Low	This article has been rated as Low-importance on the importance scale.

fixed a few things

I fixed a few things, added links to imprecise probability theory where Choquet integrals are used as well, and added a few more properties. I guess wikipedia needs some pages on n-monotone and n-alternating as well. Feel free to fix further. I do plan to work on this page from time to time. In particular it needs a lot more references.
Mtroffaes (talk) 20:46, 21 February 2008 (UTC)[reply]

What does $\nu$ map to?

I'm confused. What is a set function, and if the range of $\nu$ is $\mathbb {R} ^{+}$ , how can that number be a member of ${\mathcal {F}}$ , a collection of subsets? Crasshopper (talk) 17:28, 25 February 2008 (UTC)[reply]

A "set function" refers to a function defined on a family of sets. A function whose values are sets would be called a "set-valued function" (or a "multivalued function", or a "multifunction") instead. The terminology may be confusing, but is is standard. —Preceding unsigned comment added by 83.97.200.245 (talk) 08:33, 8 August 2009 (UTC)[reply]

Biography

Also, who is Choquet? Crasshopper (talk) 17:55, 25 February 2008 (UTC)[reply]

Examples?

Currently the article is quite technical. I would be happy to see some examples that convey the intuition behind the Choquet integral and its applications. --Erel Segal (talk) 13:57, 22 September 2015 (UTC)[reply]

An example I found online is to measure the output of a team of factory workers.

Suppose a small factory has a total workforce (S). At certain shifts a subset of the workers are present $A\subset S$. The output of the factory is a monotone function of the workers present (I think it will be $\nu$). It's monotone because it doesn't decrease when more workers are added to $A$, but it the dependence is complex. Suppose all the workers start at 8:00 but leave at different times. The workers are labeled $x_1, x_2, .., x_n$ in order of who was the first to leave. The time when worker i left is given by $f(x_i)$. The integral could be used to compute the total output of the factory over the course of a day. Ref: https://www.hse.ru/data/2014/12/03/1104511492/course-moscow14a.pdf Drhealthcaredata (talk) 15:20, 21 January 2025 (UTC)[reply]

fixed a few things

What does ν {\displaystyle \nu } map to?

Biography

Examples?

What does $\nu$ map to?