<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Scalarization is a frequently used approach for finding efficient solutions that satisfy the preferences of the Decision Maker (DM) in multicriteria optimization. The applicability of a scalarization problem to solve integer multicriteria problems depends on the possibilities it provides for the decrease of the computing complexity in finding optimal solutions of this class of problems. This paper presents a reference-neighbourhood scalarizing problem, possessing properties that make it particularly suitable for solving integer problems. One of the aims set in this development has also been the faster obtaining of desired criteria values, defined by the DM, requiring no additional information by him/her. An illustrative example demonstrates the features of this scalarizing problem.</p></abstract>

Scalarization is a frequently used approach for finding efficient solutions that satisfy the preferences of the Decision Maker (DM) in multicriteria optimization. The applicability of a scalarization problem to solve integer multicriteria problems depends on the possibilities it provides for the decrease of the computing complexity in finding optimal solutions of this class of problems. This paper presents a reference-neighbourhood scalarizing problem, possessing properties that make it particularly suitable for solving integer problems. One of the aims set in this development has also been the faster obtaining of desired criteria values, defined by the DM, requiring no additional information by him/her. An illustrative example demonstrates the features of this scalarizing problem.

New Reference-Neighbourhood Scalarization Problem for Multiobjective Integer Programming

Institute of Information and Communication Technologies, 1113 Sofia

Cybernetics and Information Technologies

Scalarization is a frequently used approach for finding efficient solutions that satisfy the preferences of the Decision Maker (DM) in multicriteria...

New Reference-Neighbourhood Scalarization Problem for Multiobjective Integer Programming

Published Online: Mar 22, 2013

Page range: 104 - 114

DOI: https://doi.org/10.2478/cait-2013-0010

Keywords
Multicriteria optimization, integer programming, scalarization function

This content is open access.

New Reference-Neighbourhood Scalarization Problem for Multiobjective Integer Programming

Published Online: Mar 22, 2013

Page range: 104 - 114

DOI: https://doi.org/10.2478/cait-2013-0010

KeywordsMulticriteria optimization, integer programming, scalarization function

This content is open access.

Keywords
Multicriteria optimization, integer programming, scalarization function