کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390296 661239 2012 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A single-point characterization of representable uninorms
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
A single-point characterization of representable uninorms
چکیده انگلیسی

We study uninorms of which both the underlying t-norm and underlying t-conorm are strict. Such uninorms are the only candidates for being representable by an additive generator. We prove that the representability of such a uninorm depends solely on its value at a single arbitrary point in the ‘remaining’ open part of the unit square. More explicitly, such a uninorm turns out to be representable if and only if this single value is located strictly between the minimum and the maximum of the corresponding arguments. If this single value coincides with one of these bounds, then the value of the uninorm at any point in the ‘remaining’ open part is determined by the same bound.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 202, 1 September 2012, Pages 89-99