- Tytuł:
- On Granular Derivatives and the Solution of a Granular Initial Value Problem
- Autorzy:
- Batyrshin, I.
- Powiązania:
- https://bibliotekanauki.pl/articles/908040.pdf
- Data publikacji:
- 2002
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
informatyka
fuzzy differential
fuzzy granule
initial value problem
cylindrical extension - Opis:
- Perceptions about function changes are represented by rules like "If X is SMALL then Y is QUICKLY INCREASING." The consequent part of a rule describes a granule of directions of the function change when X is increasing on the fuzzy interval given in the antecedent part of the rule. Each rule defines a granular differential and a rule base defines a granular derivative. A reconstruction of a fuzzy function given by the granular derivative and the initial value given by the rule is similar to Euler's piecewise linear solution of an initial value problem. The solution method is based on a granulation of the directions of the function change, on an extension of the initial value in directions and on a propagation of fuzzy constraints given in antecedent parts of rules on possible function values. The proposed method is illustrated with an example.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2002, 12, 3; 403-410
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł