- Tytuł:
- Constructive Consistent Approximations in Pairwise Comparisons
- Autorzy:
-
Smarzewski, Ryszard
Kozera, Ryszard - Powiązania:
- https://bibliotekanauki.pl/articles/2201835.pdf
- Data publikacji:
- 2022
- Wydawca:
- Stowarzyszenie Inżynierów i Techników Mechaników Polskich
- Tematy:
-
cryptography
computer science
applied mathematics - Opis:
- In this paper we investigate groups which admit the existence of weighted consistent approximations for pairwise comparisons matrices. These approximations are defined by extending the classical matrix projection for R_{+} to abstract weighted projections on the non-linear sets of transitive group-valued matrices. It is of interest that all of them are represented by general explicit formulae dependent on an abstract logarithmic function. This general approach is applied to the groups Z^{∗}_{p} and F^{∗}_{2m} which are of fundamental importance in in cryptography. Finally, we use our unified mathematical model of pairwise comparisons for continuous one-parameter unitary groups, which play a fundamental role in physics.
- Źródło:
-
Advances in Science and Technology. Research Journal; 2022, 16, 4; 243--255
2299-8624 - Pojawia się w:
- Advances in Science and Technology. Research Journal
- Dostawca treści:
- Biblioteka Nauki
Artykuł