کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
395791 666017 2009 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Cancellativity properties for t-norms and t-subnorms
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Cancellativity properties for t-norms and t-subnorms
چکیده انگلیسی

On the one hand, cancellativity properties are mainly used to express to which extend the partial functions of a t-subnorm T are injective. On the other hand, the zooms of T corresponding to its non-trivial Archimedean components are t-subnorms that largely determine T. Fixing one out of four basic types of cancellativity (cancellativity, conditional cancellativity, weak cancellativity and weak conditional cancellativity) we figure out which less restrictive type of cancellativity expresses that all maximal Archimedean zooms of T satisfy the given cancellativity property. We lay bare the mutual relationships between all these types of cancellativity and solve an open problem posed by Klement et al.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Sciences - Volume 179, Issue 9, 15 April 2009, Pages 1221–1233
نویسندگان
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