Article ID Journal Published Year Pages File Type
4621471 Journal of Mathematical Analysis and Applications 2008 11 Pages PDF
Abstract

By using some basic calculus of multiple integration, we provide an alternative expression of the integral∫]a,b[nf(x,minxi,maxxi)dx, in which the minimum and the maximum are replaced with two single variables. We demonstrate the usefulness of that expression in the computation of orness and andness average values of certain aggregation functions. By generalizing our result to Riemann–Stieltjes integrals, we also provide a method for the calculation of certain expected values and distribution functions.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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