Object
Title: On granular derivatives and the solution of a granular initial value problem
Contributor:
Rutkowska, Danuta - ed. ; Kacprzyk, Janusz - ed. ; Zadeh, Lotfi A. - ed.
Subtitle:
Computing with Words and Perceptions
Group publication title:
Abstract:
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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 12, number 3 (2002) ; click here to follow the link
Language:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS)
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2002)
Last modified:
Sep 2, 2021
In our library since:
Sep 2, 2021
Number of object content hits:
36
All available object's versions:
https://www.zbc.uz.zgora.pl/publication/65742
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International Journal of Applied Mathematics and Computer Science (AMCS)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 1 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 2 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12, number 3 (2002)
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- A context-based approach to linguistic hedges
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
| Edition name | Date |
|---|---|
| On granular derivatives and the solution of a granular initial value problem | Sep 2, 2021 |
