English

Jackson-type approximation for fuzzy-valued functions by means of trapezoidal functions

General Mathematics 2025-12-25 v1

Abstract

In this paper we provide new several Jackson-type approximations results for continuous fuzzy-number-valued functions which improve several previous ones. We use alternative techniques adapted from Interval Analysis which rely on the gH-difference (which might not exist) and the generalized difference (which might lack the cancellation law ) of fuzzy numbers.

Keywords

Cite

@article{arxiv.2512.20659,
  title  = {Jackson-type approximation for fuzzy-valued functions by means of trapezoidal functions},
  author = {Juan J. Font and Sergio Macario},
  journal= {arXiv preprint arXiv:2512.20659},
  year   = {2025}
}

Comments

Previous version of published work