Creator:

Tóth, Boglárka G. ; Kreinovich, Vladik

Contributor:

Rauh, Andreas - ed. ; Auer, Ekaterina - ed. ; Hofer,Eberhard P. - ed. ; Luther, Wolfram - ed.

Title:

Verified methods for computing Pareto sets: General algorithmic analysis

Subtitle:

.

Group publication title:

AMCS, volume 19 (2009)

Subject and Keywords:

multi-objective optimization ; Pareto set ; verified computing

Abstract:

In many engineering problems, we face multi-objective optimization, with several objective functions f1, . . . , fn. We want to provide the user with the Pareto set - a set of all possible solutions x which cannot be improved in all categories. The user should be able to select an appropriate trade-off between, say, cost and durability. We extend the general results about (verified) algorithmic computability of maxima locations to show that Pareto sets can also be computed.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2009

Resource Type:

artykuł

DOI:

10.2478/v10006-009-0031-5

Pages:

369-380

Source:

AMCS, volume 19, number 3 (2009) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego