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A note on Lévy subordinators in cones of fuzzy sets in Banach spaces

  • Roman Urban
Veröffentlicht/Copyright: 11. Juni 2022
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Abstract

Let K be a fixed proper convex cone contained in a separable Banach space E. Our main result in this note is a construction of a fuzzy process taking values in K-positive fuzzy sets, i.e. in a cone FcconvK(E) of fuzzy sets contained in K. We prove that this process can be considered as a fuzzy Lévy subordinator (with values in FcconvK(E)) or simply fuzzyFcconvK(E)-subordinator.

  1. (Communicated by Anatolij Dvurečcenskij)

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Received: 2021-02-23
Accepted: 2021-05-15
Published Online: 2022-06-11
Published in Print: 2022-06-27

© 2022 Mathematical Institute Slovak Academy of Sciences

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