کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4621471 1339484 2008 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multivariate integration of functions depending explicitly on the minimum and the maximum of the variables
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Multivariate integration of functions depending explicitly on the minimum and the maximum of the variables
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 341, Issue 1, 1 May 2008, Pages 200–210
نویسندگان
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