Academic Journal

Stability of multi-objective dynamic programming problems with fuzzy parameters

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Stability of multi-objective dynamic programming problems with fuzzy parameters
Συγγραφείς: Abo-Sinna, Mahmoud A.
Στοιχεία εκδότη: International Fuzzy Mathematics Institute, Los Angeles, CA
Θεματικοί όροι: 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
Περιγραφή: 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.
Τύπος εγγράφου: Article
Περιγραφή αρχείου: application/xml
Σύνδεσμος πρόσβασης: https://zbmath.org/1251529
Αριθμός Καταχώρησης: edsair.c2b0b933574d..bde9bde9290648e9a1c2df0bf2ad98f9
Βάση Δεδομένων: OpenAIRE
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