Best approximation results for fuzzy-number-valued continuous functions
General Mathematics
2025-12-25 v1
Abstract
In this paper we study the best approximation of a fixed fuzzy-number-valued continuous function to a subset of fuzzy-number-valued continuous functions. We also introduce a method to measure the distance between a fuzzy-number-valued continuous function and a real-valued one. Then we prove the existence of the best approximation of a fuzzy-number-valued continuous function to the space of real-valued continuous functions by using the well-known Michael Selection Theorem.
Cite
@article{arxiv.2512.20667,
title = {Best approximation results for fuzzy-number-valued continuous functions},
author = {Juan J. Font and Sergio Macario},
journal= {arXiv preprint arXiv:2512.20667},
year = {2025}
}
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