Fractional sampling operators of multivariate fuzzy functions and applications to image processing

Kadak U.

Applied Soft Computing, cilt.132, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 132
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/j.asoc.2022.109901
  • Dergi Adı: Applied Soft Computing
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC
  • Anahtar Kelimeler: Sampling operators, Fuzzy image processing, Fuzzy inference system, Fuzzy image matrix, Fractional integral
  • Gazi Üniversitesi Adresli: Evet

Özet

© 2022 Elsevier B.V.In this work, we introduce a novel family of sampling-type operators of multivariate fuzzy-valued functions based on the fractional mean values of the approximated function. We discuss some convergence properties of these operators concerning an Lp-type fuzzy metric and examine the rate of convergence of the operators in Lipschitz classes of multivariate fuzzy valued functions. Some illustrative examples and graphs are given to demonstrate the convergence behavior of the operators in both one and two-dimensional cases. Finally, we present an algorithm for fuzzy image processing with numerical findings using the rule-based contrast enhancement method including a multidimensional fuzzy image matrix.