Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders
Joint Authors
Bevilacqua, Paolo
Bosi, Gianni
Zuanon, Magalì
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-28
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We characterize the existence of (weak) Pareto optimal solutions to the classical multiobjective optimization problem by referring to the naturally associated preorders and their finite (Richter-Peleg) multiutility representation.
The case of a compact design space is appropriately considered by using results concerning the existence of maximal elements of preorders.
The possibility of reformulating the multiobjective optimization problem for determining the weak Pareto optimal solutions by means of a scalarization procedure is finally characterized.
American Psychological Association (APA)
Bevilacqua, Paolo& Bosi, Gianni& Zuanon, Magalì. 2018. Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders. Abstract and Applied Analysis،Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1114265
Modern Language Association (MLA)
Bevilacqua, Paolo…[et al.]. Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders. Abstract and Applied Analysis No. 2018 (2018), pp.1-6.
https://search.emarefa.net/detail/BIM-1114265
American Medical Association (AMA)
Bevilacqua, Paolo& Bosi, Gianni& Zuanon, Magalì. Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders. Abstract and Applied Analysis. 2018. Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1114265
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1114265