Alternative views on fuzzy numbers and their application to fuzzy differential equations
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914887892992000 |
|---|---|
| author | Borzabadi, Akbar H. Heidari, Mohammad Torres, Delfim F. M. |
| author_facet | Borzabadi, Akbar H. Heidari, Mohammad Torres, Delfim F. M. |
| contents | We consider fuzzy valued functions from two parametric representations of $α$-level sets. New concepts are introduced and compared with available notions. Following the two proposed approaches, we study fuzzy differential equations. Their relation with Zadeh's extension principle and the generalized Hukuhara derivative is discussed. Moreover, we prove existence and uniqueness theorems for fuzzy differential equations. Illustrative examples are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07906 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Alternative views on fuzzy numbers and their application to fuzzy differential equations Borzabadi, Akbar H. Heidari, Mohammad Torres, Delfim F. M. General Mathematics 03E72, 34A07 We consider fuzzy valued functions from two parametric representations of $α$-level sets. New concepts are introduced and compared with available notions. Following the two proposed approaches, we study fuzzy differential equations. Their relation with Zadeh's extension principle and the generalized Hukuhara derivative is discussed. Moreover, we prove existence and uniqueness theorems for fuzzy differential equations. Illustrative examples are given. |
| title | Alternative views on fuzzy numbers and their application to fuzzy differential equations |
| topic | General Mathematics 03E72, 34A07 |
| url | https://arxiv.org/abs/2407.07906 |