A version of Stone-Weierstrass theorem in Fuzzy Analysis

[EN] Let C(K, E1) be the space of continuous functions defined between a compact Hausdorff space K and the space of fuzzy numbers E1 endowed with the supremum metric. We provide a sufficient set of conditions on a subspace of C(K, E1) in order that it be dense. We also obtain a similar result for interpolating families of C(K, E1).This research is supported by Spanish Government (MTM2016-77143-P), Universitat Jaume I (Projecte P1-1B2014-35) and Generalitat Valenciana (Projecte AICO/2016/030).Font, JJ.; Sanchis, D.; Sanchis, M. (2017). A version of Stone-Weierstrass theorem in Fuzzy Analysis. En Proceedings of the Workshop on Applied Topological Structures. Editorial Universitat Politècnica de València. 41-46. http://hdl.handle.net/10251/128026OCS414