Analytical descriptions of quantifier solutions to interval linear systems of relations
| Autor: | Irene A. Sharaya, Sergey P. Shary |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Mathematics Open, Vol 01, Iss (2022) |
| Druh dokumentu: | article |
| ISSN: | 28110072 2811-0072 |
| DOI: | 10.1142/S2811007222500043 |
| Popis: | We study systems of relations of the form [Formula: see text], where [Formula: see text] is a vector of binary relations with the components “[Formula: see text]”, “[Formula: see text]”, and “[Formula: see text]”, while the parameters (elements of the matrix A and right-hand side vector b) are uncertain and can take values from prescribed intervals. What is considered to be the set of its solutions depends on which logical quantifier is associated with each interval-valued parameter and what is the order of the quantifier prefixes for specific parameters. For solution sets that correspond to the quantifier prefix of a general form, we present equivalent quantifier-free analytical descriptions in the classical interval arithmetic, in Kaucher complete interval arithmetic and in the usual real arithmetic. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|