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


Kadak U.

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

  • Publication Type: Article / Article
  • Volume: 132
  • Publication Date: 2023
  • Doi Number: 10.1016/j.asoc.2022.109901
  • Journal Name: Applied Soft Computing
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC
  • Keywords: Fractional integral, Fuzzy image matrix, Fuzzy image processing, Fuzzy inference system, Sampling operators
  • Gazi University Affiliated: Yes

Abstract

© 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.