کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
391032 | 661333 | 2008 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Matrix representation of discrete quasi-copulas
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
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چکیده انگلیسی
In this paper discrete quasi-copulas (defined on a square grid of [0,1]2) are studied and it is proved that they can be represented by means of a special class of matrices with entries in [-1,1]. Special considerations are made for the case of irreducible discrete quasi-copulas (those with range In), showing that they can be represented through alternating-sign matrices and that they generate all discrete quasi-copulas through convex sums. In the process, the number of irreducible quasi-copulas on In is given and those functions δ for which there exists a unique copula with δ as its diagonal section are characterized.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 159, Issue 13, 1 July 2008, Pages 1658-1672
Journal: Fuzzy Sets and Systems - Volume 159, Issue 13, 1 July 2008, Pages 1658-1672