کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6855795 1437689 2018 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the properties of the F-partial order and the equivalence of nullnorms
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
On the properties of the F-partial order and the equivalence of nullnorms
چکیده انگلیسی
In this study, we investigate a partial order induced by a nullnorm F on a bounded lattice L, called the F-partial order, which was recently introduced by Aşıcı. We consider the case where L=[0,1]. First, we define and comprehensively study the set of all incomparable elements with arbitrary but fixed x∈(0,1) according to the F-partial order. We then define and discuss the equivalence relation on the class of nullnorms according to the partial orders that they generate. By defining this relation, the equivalence relations defined on the class of t-norms and t-conorms are extended to a more general form. Finally, we provide an answer to an open problem regarding the relation between the lattice order and the F-partial order on [0,1].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 346, 1 September 2018, Pages 72-84
نویسندگان
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