Decomposable measures and nonlinear equations
β Scribed by Endre Pap
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 778 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
β¦ Synopsis
Using integrals based on O-decomposable measures with respect to a pseudo-addition @ (related to a semiring ([a, b]
) a unified method is given for solving some nonlinear differential (ordinary and partial), difference and optimization equations. For that purpose important tools as pseudo-superposition principle and pseudo-Laplace transform are used.
π SIMILAR VOLUMES
In this work we introduce hierarchically decomposable fuzzy measures that allow the user to define measures more general than t-decomposable ones without having to deal with exponential complexity.
We can stress three main problems which usually occurs in complex modeling: uncertainty, nonlinearity and optimization. We can usually describe these models with same nonlinear equations (ordinary differential , difference , partial differential, optimization, etc.). Different kinds of nonlinear e