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Title: Approximate fuzzy continuity of functions
Authors: Burgin, Mark
Duman, Oktay.
Keywords: Approximate Continuity
Approximate Fuzzy Continuity
Fuzzy Convergence
Issue Date: 2011
Publisher: IGI Global
Abstract: The conventional continuity of a function was further advanced by the concept of approximate continuity introduced by Denjoy to solve some problems of differentiation and integration. According to this new type of continuity, the (classical) continuity conditions may be true not necessarily everywhere, but almost everywhere with respect to some measure, e.g., Borel measure or Lebesgue measure. However, functions that come from real life sources, such as measurement and computation, do not allow, in a general case, to test whether they are continuous or even approximately continuous in the strict mathematical sense. Hence, in this paper, the authors overcome these limitations by introducing and studying the more realistic concept of the approximate fuzzy continuity of functions. © 2011, IGI Global.
ISSN: 2156-177X
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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