- Tytuł:
- On the convergence of sigmoidal fuzzy grey cognitive maps
- Autorzy:
-
Harmati, István Á.
Kóczy, László T. - Powiązania:
- https://bibliotekanauki.pl/articles/331060.pdf
- Data publikacji:
- 2019
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
fuzzy cognitive map
grey system theory
fuzzy grey cognitive map
fixed point
mapa kognitywna rozmyta
teoria szarych systemów
rozmyta mapa poznawcza
punkt stały - Opis:
- Fuzzy cognitive maps (FCMs) are recurrent neural networks applied for modelling complex systems using weighted causal relations. In FCM-based decision-making, the inference about the modelled system is provided by the behaviour of an iteration. Fuzzy grey cognitive maps (FGCMs) are extensions of fuzzy cognitive maps, applying uncertain weights between the concepts. This uncertainty is expressed by the so-called grey numbers. Similarly as in FCMs, the inference is determined by an iteration process which may converge to an equilibrium point, but limit cycles or chaotic behaviour may also turn up. In this paper, based on the grey connections between the concepts and the parameters of the sigmoid threshold function, we give sufficient conditions for the existence and uniqueness of fixed points of sigmoid FGCMs.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2019, 29, 3; 453-466
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł