Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On the invariance of the Pareto optimal set
Authors: Vincentiu Dumitru, Florica Luban
Keywords: Pareto invariance, monotone operators and topological maps in multicriteria optimization.
– 0.15 Mb
Keywords: Pareto invariance, monotone operators and topological maps in multicriteria optimization.
Abstract
In the previous paper presented at the 11th SOR, Darmstadt 1986, the authors had shown that the Pareto optimal set of a multicriteria problem remains invariable if on the objective vector function operates a strictly monotone operator of strictly monotone kind. In the present paper we give new proofs of two main theorems of this result and we show that the invariance of Pareto optimal set takes place also in the case of a topological transformation of the problem's variables. A possible interpretation of the above results in decision theory is suggested.Vincentiu Dumitru, Florica Luban
The Academy of Economic Studies
Dept. of Cybernetics, 15-17 Calea Dorobantilor,
Bucharest, 71131,
ROMANIA
The Academy of Economic Studies
Dept. of Cybernetics, 15-17 Calea Dorobantilor,
Bucharest, 71131,
ROMANIA
Fulltext
– 0.15 Mb
Contents
- Distributed operating systems for multiprocessors and networks
- Applied program system for the prognosis of the biological activity of chemical compounds: development and use
- Automatized systems for knowledge acquisition
- On the invariance of the Pareto optimal set
- On link diameter of a simple rectilinear polygon
- A note on two constrained parametric problems on networks
- An Invitation to GAP
- The model of the stochastic generator of the test programs and a method of its analyse
- About Shannon's problem for turing machines
