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Iranian Journal of Fuzzy Systems، جلد ۲۱، شماره ۴، صفحات ۸۱-۱۰۰
عنوان فارسی
چکیده فارسی مقاله
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عنوان انگلیسی Curved splicing constructions of (quasi-)copulas with given opposite track sections
چکیده انگلیسی مقاله In this paper, our focus is to construct (quasi-)copulas with a given opposite track section. Three different ways for constructing (quasi-)copulas with a given opposite track section are proposed and the best-possible bounds for all those (quasi-)copulas sharing a common opposite track section are also discussed. Drawing inspiration from the opposite diagonal splicing operation, we propose the curved splicing operation. We obtain that the curved splicing of any two quasi-copulas with a common opposite track section must be a quasi-copula. We also show several sufficient conditions
for the curved splicing of any two copulas sharing a common opposite track section to be a copula. Furthermore, we discuss the characteristics of a copula constructed by the curved splicing operation. Finally, we construct two novel types of semilinear copulas, and by applying the curved splicing operation we obtain two additional types of semilinear copulas.
کلیدواژه‌های انگلیسی مقاله Curved splicing, Copulas, Quasi-copulas, Best-possible bounds, Semilinear copulas
نویسندگان مقاله Qiao Lou |
School of Mathematics and Statistics, Guilin University of Technology, Guilin, China

Haomin Zhang |
School of Mathematics and Statistics, Guilin University of Technology, Guilin, China

Siya Ye |
School of Mathematics and Statistics, Guilin University of Technology, Guilin, China

نشانی اینترنتی https://ijfs.usb.ac.ir/article_8526_06d86cdef4174960623d9d9cad96647e.pdf
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