کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390112 661215 2010 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On dependencies and independencies of fuzzy implication axioms
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
On dependencies and independencies of fuzzy implication axioms
چکیده انگلیسی

A fuzzy implication, commonly defined as a two-place operation on the unit interval, is an extension of the classical binary implication. It plays important roles in both mathematical and applied sides of fuzzy set theory. Besides the basic axioms, there are many potential fuzzy implication axioms, among which eight are widely used in the literature. Different fuzzy implications satisfying different subgroups of these eight axioms can be found. However, certain interrelationships exist between these eight axioms. But the results remain incomplete. This paper aims to lay bare the interrelationships between these eight axioms. The result is instrumental to propose a classification of fuzzy implications.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 161, Issue 10, 16 May 2010, Pages 1388-1405