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Conic Scalarization Method in Multiobjective Optimization and Relations with Other Scalarization Methods

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Modelling, Computation and Optimization in Information Systems and Management Sciences

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 359))

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Abstract

The paper presents main features of the conic scalarization method in multiobjective optimization. The conic scalarization method guarantees to generate all proper efficient solutions and does not require any kind of convexity or boundedness conditions. In addition the preference and reference point information of the decision maker is taken into consideration by this method. In this paper, relations with other scalarization methods are investigated and it is shown that some efficient solutions computed by the Pascoletti-Serafini and the Benson’s scalarization methods, can be obtained by the conic scalarization method.

This study was supported by the Anadolu University Scientific Research Projects Commission under the grant no 1304F062.

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Authors and Affiliations

  1. Faculty of Engineering, Department of Industrial Engineering, Aandolu University, Iki Eylul Campus, Eskisehir, 26555, Turkey

    Refail Kasimbeyli, Zehra Kamisli Ozturk, Nergiz Kasimbeyli, Gulcin Dinc Yalcin & Banu Icmen

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  1. Refail Kasimbeyli
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  2. Zehra Kamisli Ozturk
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  3. Nergiz Kasimbeyli
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  4. Gulcin Dinc Yalcin
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  5. Banu Icmen
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Correspondence to Refail Kasimbeyli .

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Editors and Affiliations

  1. Laboratory of Theoretical and Applied Computer Science, University of Lorraine-Metz, Metz, France

    Hoai An Le Thi

  2. Laboratory of Mathematics, National Institute for Applied Sciences-Rouen, Rouen, France

    Tao Pham Dinh

  3. Division of Knowledge Management Systems Institute of Informatics (I-32), Wroclaw University of Technology, Wroclaw, Poland

    Ngoc Thanh Nguyen

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Kasimbeyli, R., Ozturk, Z.K., Kasimbeyli, N., Yalcin, G.D., Icmen, B. (2015). Conic Scalarization Method in Multiobjective Optimization and Relations with Other Scalarization Methods. In: Le Thi, H., Pham Dinh, T., Nguyen, N. (eds) Modelling, Computation and Optimization in Information Systems and Management Sciences. Advances in Intelligent Systems and Computing, vol 359. Springer, Cham. https://doi.org/10.1007/978-3-319-18161-5_27

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  • DOI: https://doi.org/10.1007/978-3-319-18161-5_27

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-18160-8

  • Online ISBN: 978-3-319-18161-5

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