| Full text | |
| Author(s): |
Esmi, Estevao
;
de Barros, Laecio Carvalho
;
Santo Pedro, Francielle
;
Laiate, Beatriz
Total Authors: 4
|
| Document type: | Journal article |
| Source: | FUZZY SETS AND SYSTEMS; v. 417, p. 20-pg., 2021-06-01. |
| Abstract | |
This article introduces the notion of strong linear independence (SLI) for a set of fuzzy numbers. Based on this notion, we prove that there exist isomorphisms between Rn and special classes of fuzzy numbers generated by SLI sets of n fuzzy numbers. Such a bijection can be used to induce the structure of Banach space on its range. We prove that the finite SLI sets are dense in the set of finite fuzzy numbers. Moreover, we proposed two methods to produce SLI sets based on consecutive powering hedges and Zadeh extension of polynomials. (c) 2020 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 16/26040-7 - Differential and integral calculus based on arithmetic of interactive fuzzy numbers |
| Grantee: | Estevão Esmi Laureano |
| Support Opportunities: | Regular Research Grants |