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arXiv · 2512.20667

Best approximation results for fuzzy-number-valued continuous functions

Juan J. Font·Sergio Macario
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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.

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Juan J. Font, Sergio Macario. 2025-12-19. Best approximation results for fuzzy-number-valued continuous functions. https://doi.org/10.3390/axioms12020192

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