کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6858839 1438411 2018 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the characterizations of fuzzy implications satisfying I(x,I(y,z))=I(I(x,y),I(x,z))
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
On the characterizations of fuzzy implications satisfying I(x,I(y,z))=I(I(x,y),I(x,z))
چکیده انگلیسی
Boolean-like laws is inspired by many works in Fuzzy Logic. In this paper, we investigate the fuzzy generalization of: x→(y→z)≡(x→y)→(x→z) law. More precisely, we will show under which conditions such Boolean-like law holds for the following classes of fuzzy implications: (S,N)-, R-, QL-, D-, (T,N)- and H. To achieve that we introduce a new fuzzy property called Distributivity over De Morgan. Finally, we will show that a fuzzy implication I satisfies such Boolean-like law if, and only if, it is also satisfied by its Φ-conjugate.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Approximate Reasoning - Volume 93, February 2018, Pages 261-276
نویسندگان
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