Set-theoretic Analysis of Nominative Data

Autor: Volodymyr G. Skobelev, Ievgen Ivanov, Mykola Nikitchenko
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Computer Science Journal of Moldova, Vol 23, Iss 3(69), Pp 270-288 (2015)
Druh dokumentu: article
ISSN: 1561-4042
Popis: In the paper we investigate the notion of nominative data that can be considered as a general mathematical model of data used in computing systems. The main attention is paid to flat nominative data called nominative sets. The structure of the partially-ordered set of nominative sets is investigated in terms of set theory, lattice theory, and algebraic systems theory. To achieve this aim the correct transferring of basic set-theoretic operations to nominative sets is proposed. We investigate a lower semilattice of nominative sets in terms of lower and upper cones, closed and maximal closed intervals of nominative sets. The obtained results can be used in formal software development.
Databáze: Directory of Open Access Journals