کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
396398 666426 2006 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
H-transformation of t-norms
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
H-transformation of t-norms
چکیده انگلیسی

Cancellative t-norms are generated only if they do not posses anomalous pairs and then they are isomorphic to subsemigroups of ([0, ∞], +). A new construction method for t-norms, so-called H-transformation of t-norms, is introduced and studied, generalizing a recent example of Hájek. H-transformation allows to construct non-generated cancellative (left-continuous) t-norms with prescribed number of non-trivial Archimedean components. The unique t-norm stable under H-transformation is also described. In an analogous way, H-transformation of residual implications is given. Finally, a general H-transformation based on cancellative discrete t-conorms is proposed and examined.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Sciences - Volume 176, Issue 11, 3 June 2006, Pages 1531–1545
نویسندگان
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