TY - GEN
A1 - Batyrshin, Ildar
A2 - Rutkowska, Danuta - ed.
A2 - Kacprzyk, Janusz - ed.
A2 - Zadeh, Lotfi A. - ed.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - 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.
N2 - 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.
N2 - 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.
L1 - http://www.zbc.uz.zgora.pl/Content/58946/AMCS_2002_12_3_9.pdf
L2 - http://www.zbc.uz.zgora.pl/Content/58946
KW - fuzzy differential
KW - fuzzy granule
KW - initial value problem
KW - cylindrical extension
T1 - On granular derivatives and the solution of a granular initial value problem
UR - http://www.zbc.uz.zgora.pl/dlibra/docmetadata?id=58946
ER -