Fuzzy transforms of higher order approximate derivatives: A theorem
نویسندگان
چکیده
منابع مشابه
Fuzzy transforms of higher order approximate derivatives: A theorem
In many practical applications, it is useful to represent a function f(x) by its fuzzy transform, i.e., by the “average” values Fi = ∫ f(x) ·Ai(x) dx ∫ Ai(x) dx over different elements of a fuzzy partition A1(x), . . . , An(x) (for which Ai(x) ≥ 0 and n ∑ i=1 Ai(x) = 1). It is known that when we increase the number n of the partition elements Ai(x), the resulting approximation get closer and cl...
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ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 2011
ISSN: 0165-0114
DOI: 10.1016/j.fss.2011.05.005