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New Reference-Neighbourhood Scalarization Problem for Multiobjective Integer Programming Cover

New Reference-Neighbourhood Scalarization Problem for Multiobjective Integer Programming

Open Access
|Mar 2013

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.

DOI: https://doi.org/10.2478/cait-2013-0010 | Journal eISSN: 1314-4081 | Journal ISSN: 1311-9702
Language: English
Page range: 104 - 114
Published on: Mar 22, 2013
Published by: Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2013 Krasimira Genova, Leonid Kirilov, Vasil Guljashki, published by Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
This work is licensed under the Creative Commons License.