Bibliographic Details
| Title: |
Stability of multi-objective dynamic programming problems with fuzzy parameters |
| Authors: |
Abo-Sinna, Mahmoud A. |
| Publisher Information: |
International Fuzzy Mathematics Institute, Los Angeles, CA |
| Subject Terms: |
multi-objective dynamic programming, Sensitivity, stability, parametric optimization, Fuzzy and other nonstochastic uncertainty mathematical programming, stability, Dynamic programming, fuzzy parameters, Multi-objective and goal programming |
| Description: |
Summary: The aim of this paper is to study the stability of a multi-objective dynamic programming problem with fuzzy parameters in the objective functions. These fuzzy parameters are characterized by fuzzy numbers. To study the stability of such a problem under the concept of \(\alpha\)-Pareto optimality, some basic notions in parametric nonlinear programming problems are redefined and analyzed qualitatively. Also, an algorithm for obtaining any subset of the parametric space which has the same corresponding \(\alpha\)-Pareto optimal solution is presented. A numerical example is given for the sake of illustration. |
| Document Type: |
Article |
| File Description: |
application/xml |
| Access URL: |
https://zbmath.org/1251529 |
| Accession Number: |
edsair.c2b0b933574d..bde9bde9290648e9a1c2df0bf2ad98f9 |
| Database: |
OpenAIRE |