Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-11-127-45
DOI: https://dx.doi.org/10.15863/TAS.2023.11.127.45
Language: Russian
Citation: Zhanatauov, S. U. (2023). Semantic variables with non-dominated variances. ISJ Theoretical & Applied Science, 11 (127), 362-383. Soi: http://s-o-i.org/1.1/TAS-11-127-45 Doi: https://dx.doi.org/10.15863/TAS.2023.11.127.45 |
Pages: 362-383
Published: 30.11.2023
Abstract: A cognitive model of financial debts of municipalities in 20 US cities has been developed. The model identified (discovered) new conceptual and quantitative manifestations of numerous subtypes for the known 2 types of debt. The model uses all components of all eigenvectors from the C66 eigenvector matrix. The initial semantic equality is a semantic matrix equality of the form: meaning (Ym6=meaning(Zm6C66). Found 6 semantic solutions to the semantic multidimensional equation meaning(y1)(…(meaning(y6)=meaning(Zm6c1)(…(meaning (Zm6c6), cj=(c1j,c2j…,c6j) T, yj=(y1j,…,ymj) T, Zm6={zi}, zi=(z1j,z2j,…,zmj) T, j=1,…,6. A system of 6 semantic equations with 6 unknown y-senses has been developed. 6 semantic solutions have been found: meaning(y1), meaning(y2), meaning (y3),…, meaning (y6), which significantly complement the initial knowledge. Each solution is obtained from its own semantic equation. The model allows us to extract new knowledge about the structures of receivables and payables from multidimensional data on municipal debts of 20 US cities. The model cognitively models semantic variables and numerically models quantitative relationships between the manifestations of subtypes of debt. Their formulaic and phraseological types have been implemented, justified, and the descriptions of mutual relations of debts of 20 cities are visualized on graphs. Their formulaic and phraseological types have been implemented, justified, and the descriptions of mutual relations of debts of 20 cities are visualized on graphs.
Key words: semantic variables with non-dominant variances, matrix semantic equality, multi-semantic equation with known and unknown semantic variables, cognitive model of financial debts of municipalities of 20 US cities.
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