کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390994 661328 2009 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On special fuzzy implications
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
On special fuzzy implications
چکیده انگلیسی

Special implications were introduced by Hájek and Kohout [Fuzzy implications and generalized quantifiers, Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 4 (1996) 225–233] in their investigations on some statistics on marginals. They have either suggested or only partially answered three important questions, especially related to special implications and residuals of t-norms. In this work we investigate these posers in-depth and give complete answers. Toward this end, firstly we show that many of the properties considered as part of the definition of special implications are redundant. Then, a geometric interpretation of the specialty property is given, using which many results and bounds for such implications are obtained. We have obtained a characterization of general binary operations whose residuals become special. Finally, some constructive procedures to obtain special fuzzy implications are proposed and methods of obtaining special implications from existing ones are given, showing that there are infinitely many fuzzy implications that are special but cannot be obtained as residuals of t-norms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 160, Issue 14, 16 July 2009, Pages 2063-2085