کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4943763 | 1437709 | 2017 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On (a,b)-transformations of conjunctive functions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We introduce and study transformations that assign to each conjunctive real-valued function F:[0,1]2âR and any pair of parameters (a,b)â[0,1]2 a function Fa,b:[0,1]2âR that is shown to be conjunctive, too. In more details, we study the proposed transformations in the classes of all binary copulas, quasi-copulas, conjunctive k-Lipschitz functions and the class of all conjunctive Lipschitz functions. We discuss the invariance of these classes with respect to all possible transformations. An interesting result is, that although the class of all copulas is invariant with respect to all considered transformations, the only copula that is not changed by any of them is the product copula. We also show that (a,b)-transformations of copulas yield the same results as constructions of copulas based on special measure-preserving transformations; and using measure-preserving transformations we extend the studied binary constructions to n-dimensional copulas. Finally, we focus our attention on consecutive realization of the proposed transformations in the class of binary copulas and we also show several properties of (a,b)-transforms of the basic copulas, including some dependence parameters.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 326, 1 November 2017, Pages 89-105
Journal: Fuzzy Sets and Systems - Volume 326, 1 November 2017, Pages 89-105
نویسندگان
ĽubomÃra Horanská, Anna Kolesárová,