Decomposable measures and nonlinear equations

Research output: Contribution to journalArticle

46 Citations (Scopus)

Abstract

Using integrals based on ⊕-decomposable measures with respect to a pseudo-addition ⊕ (related to a semiring ([a,b], ⊖,⊙), [a,b] C [-∞, +∞]) 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.

Original languageEnglish
Pages (from-to)205-221
Number of pages17
JournalFuzzy Sets and Systems
Volume92
Issue number2
Publication statusPublished - 1997

Fingerprint

Semiring
Laplace transforms
Decomposable
Nonlinear equations
Laplace transform
Superposition
Nonlinear Equations
Partial
Optimization
Integral

Keywords

  • Bellman equation
  • Decomposable measure
  • Hamilton-jacobi equation
  • Pseudo-addition
  • Pseudo-integral
  • Pseudo-laplace transform
  • Pseudo-multiplication

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Science Applications
  • Computer Vision and Pattern Recognition
  • Information Systems and Management
  • Statistics, Probability and Uncertainty
  • Electrical and Electronic Engineering
  • Statistics and Probability

Cite this

Decomposable measures and nonlinear equations. / Pap, E.

In: Fuzzy Sets and Systems, Vol. 92, No. 2, 1997, p. 205-221.

Research output: Contribution to journalArticle

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