IDEAS home Printed from https://ideas.repec.org/a/gam/jsusta/v12y2020i22p9602-d446905.html
   My bibliography  Save this article

The Hierarchical VIKOR Method with Incomplete Information: Supplier Selection Problem

Author

Listed:
  • Jong Hyen Kim

    (College of Business and Economics, Chung-Ang University, 221 Heukseok, Dongjak, Seoul 156-756, Korea)

  • Byeong Seok Ahn

    (College of Business and Economics, Chung-Ang University, 221 Heukseok, Dongjak, Seoul 156-756, Korea)

Abstract

To solve a multi-criteria decision-making problem, many attempts have been made to alleviate difficulties of obtaining precise preference information attributed to time pressure, lack of data and domain knowledge, limited attention and information processing capabilities, etc. Structuring any decision problem hierarchically is known to be an efficient way of dealing with complexity and identifying the major components of the problem. In this paper, we propose the hierarchical VIKOR method that uses incomplete alternatives’ values as well as incomplete criteria weights, extending previous works that consider mostly intervals or fuzzy under a flat structure of criteria. It ranks alternatives using the aggregated scores of group utility and individual regret scores which are computed from the linear programs. To show how to use our proposed method, we exemplified an international supplier selection problem that affects the organization’s sustainable growth.

Suggested Citation

  • Jong Hyen Kim & Byeong Seok Ahn, 2020. "The Hierarchical VIKOR Method with Incomplete Information: Supplier Selection Problem," Sustainability, MDPI, vol. 12(22), pages 1-15, November.
    • Handle: RePEc:gam:jsusta:v:12:y:2020:i:22:p:9602-:d:446905
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2071-1050/12/22/9602/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2071-1050/12/22/9602/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mateos, A. & Jimenez, A. & Rios-Insua, S., 2006. "Monte Carlo simulation techniques for group decision making with incomplete information," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1842-1864, November.
    2. Alexei Pérez-Velázquez & Leandro Leysdian Oro-Carralero & Jorge Laureano Moya-Rodríguez, 2020. "Supplier Selection for Photovoltaic Module Installation Utilizing Fuzzy Inference and the VIKOR Method: A Green Approach," Sustainability, MDPI, vol. 12(6), pages 1-19, March.
    3. Amir Hossein Salimi & Amir Noori & Hossein Bonakdari & Jafar Masoompour Samakosh & Ehsan Sharifi & Mohammadreza Hassanvand & Baharam Gharabaghi & Mehdi Agharazi, 2020. "Exploring the Role of Advertising Types on Improving the Water Consumption Behavior: An Application of Integrated Fuzzy AHP and Fuzzy VIKOR Method," Sustainability, MDPI, vol. 12(3), pages 1-33, February.
    4. Craig W. Kirkwood & Rakesh K. Sarin, 1985. "Ranking with Partial Information: A Method and an Application," Operations Research, INFORMS, vol. 33(1), pages 38-48, February.
    5. Opricovic, Serafim & Tzeng, Gwo-Hshiung, 2004. "Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS," European Journal of Operational Research, Elsevier, vol. 156(2), pages 445-455, July.
    6. Weber, Martin, 1987. "Decision making with incomplete information," European Journal of Operational Research, Elsevier, vol. 28(1), pages 44-57, January.
    7. M. Weber, 1985. "A Method of Multiattribute Decision Making with Incomplete Information," Management Science, INFORMS, vol. 31(11), pages 1365-1371, November.
    8. Nansheng Pang & Wenjing Guo, 2019. "Uncertain Hybrid Multiple Attribute Group Decision of Offshore Wind Power Transmission Mode Based on theVIKOR Method," Sustainability, MDPI, vol. 11(21), pages 1-21, November.
    9. Opricovic, Serafim & Tzeng, Gwo-Hshiung, 2007. "Extended VIKOR method in comparison with outranking methods," European Journal of Operational Research, Elsevier, vol. 178(2), pages 514-529, April.
    10. Patchara Phochanikorn & Chunqiao Tan, 2019. "A New Extension to a Multi-Criteria Decision-Making Model for Sustainable Supplier Selection under an Intuitionistic Fuzzy Environment," Sustainability, MDPI, vol. 11(19), pages 1-24, September.
    11. Marmol, Amparo M. & Puerto, Justo & Fernandez, Francisco R., 2002. "Sequential incorporation of imprecise information in multiple criteria decision processes," European Journal of Operational Research, Elsevier, vol. 137(1), pages 123-133, February.
    12. A Mateos & S Ríos-Insua & A Jiménez, 2007. "Dominance, potential optimality and alternative ranking in imprecise multi-attribute decision making," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(3), pages 326-336, March.
    13. Ahn, Byeong Seok, 2015. "Extreme point-based multi-attribute decision analysis with incomplete information," European Journal of Operational Research, Elsevier, vol. 240(3), pages 748-755.
    14. Ahn, Byeong Seok & Sam Park, Kyung & Hee Han, Chang & Kyeong Kim, Jae, 2000. "Multi-attribute decision aid under incomplete information and hierarchical structure," European Journal of Operational Research, Elsevier, vol. 125(2), pages 431-439, September.
    15. Artiom Volkov & Mangirdas Morkunas & Tomas Balezentis & Vaida Šapolaitė, 2020. "Economic and Environmental Performance of the Agricultural Sectors of the Selected EU Countries," Sustainability, MDPI, vol. 12(3), pages 1-17, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Pratibha Rani & Arunodaya Raj Mishra & Abbas Mardani & Fausto Cavallaro & Dalia Štreimikienė & Syed Abdul Rehman Khan, 2020. "Pythagorean Fuzzy SWARA–VIKOR Framework for Performance Evaluation of Solar Panel Selection," Sustainability, MDPI, vol. 12(10), pages 1-18, May.
    2. G Özerol & E Karasakal, 2008. "Interactive outranking approaches for multicriteria decision-making problems with imprecise information," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(9), pages 1253-1268, September.
    3. Ahn, Byeong Seok, 2015. "Extreme point-based multi-attribute decision analysis with incomplete information," European Journal of Operational Research, Elsevier, vol. 240(3), pages 748-755.
    4. Ahn, Byeong Seok, 2017. "Approximate weighting method for multiattribute decision problems with imprecise parameters," Omega, Elsevier, vol. 72(C), pages 87-95.
    5. Ngwenyama, Ojelanki K. & Bryson, Noel, 1999. "Eliciting and mapping qualitative preferences to numeric rankings in group decision making," European Journal of Operational Research, Elsevier, vol. 116(3), pages 487-497, August.
    6. Salo, Ahti A., 1995. "Interactive decision aiding for group decision support," European Journal of Operational Research, Elsevier, vol. 84(1), pages 134-149, July.
    7. Kim, Soung Hie & Han, Chang Hee, 2000. "Establishing dominance between alternatives with incomplete information in a hierarchically structured attribute tree," European Journal of Operational Research, Elsevier, vol. 122(1), pages 79-90, April.
    8. Park, Kyung Sam & Kim, Soung Hie, 1997. "Tools for interactive multiattribute decisionmaking with incompletely identified information," European Journal of Operational Research, Elsevier, vol. 98(1), pages 111-123, April.
    9. Eduarda Asfora Frej & Danielle Costa Morais & Adiel Teixeira de Almeida, 2022. "Negotiation Support Through Interactive Dominance Relationship Specification," Group Decision and Negotiation, Springer, vol. 31(3), pages 591-620, June.
    10. Sam Park, Kyung & Sang Lee, Kyung & Seong Eum, Yun & Park, Kwangtae, 2001. "Extended methods for identifying dominance and potential optimality in multi-criteria analysis with imprecise information," European Journal of Operational Research, Elsevier, vol. 134(3), pages 557-563, November.
    11. Harju, Mikko & Liesiö, Juuso & Virtanen, Kai, 2019. "Spatial multi-attribute decision analysis: Axiomatic foundations and incomplete preference information," European Journal of Operational Research, Elsevier, vol. 275(1), pages 167-181.
    12. Amparo María Mármol Conde & Justo Puerto Albandoz, 1996. "Incorporación de la información adicional sobre las preferencias en un problema de transporte multiobjetivo," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 5, pages 81-103, Junio.
    13. de Almeida, Jonatas Araujo & Costa, Ana Paula Cabral Seixas & de Almeida-Filho, Adiel Teixeira, 2016. "A new method for elicitation of criteria weights in additive models: Flexible and interactive tradeoffAuthor-Name: de Almeida, Adiel Teixeira," European Journal of Operational Research, Elsevier, vol. 250(1), pages 179-191.
    14. Pavel Anselmo Alvarez Carrillo & Lucia Reis Peixoto Roselli & Eduarda Asfora Frej & Adiel Teixeira Almeida, 2022. "Selecting an agricultural technology package based on the flexible and interactive tradeoff method," Annals of Operations Research, Springer, vol. 314(2), pages 377-392, July.
    15. Park, Kyung Sam & Kim, Soung Hie & Yoon, Wan Chul, 1997. "Establishing strict dominance between alternatives with special type of incomplete information," European Journal of Operational Research, Elsevier, vol. 96(2), pages 398-406, January.
    16. K S Park & I Jeong, 2011. "How to treat strict preference information in multicriteria decision analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1771-1783, October.
    17. Eduarda Asfora Frej & Adiel Teixeira Almeida & Ana Paula Cabral Seixas Costa, 2019. "Using data visualization for ranking alternatives with partial information and interactive tradeoff elicitation," Operational Research, Springer, vol. 19(4), pages 909-931, December.
    18. Mustajoki, Jyri, 2012. "Effects of imprecise weighting in hierarchical preference programming," European Journal of Operational Research, Elsevier, vol. 218(1), pages 193-201.
    19. Gül Özerol & Esra Karasakal, 2008. "A Parallel between Regret Theory and Outranking Methods for Multicriteria Decision Making Under Imprecise Information," Theory and Decision, Springer, vol. 65(1), pages 45-70, August.
    20. M. A. Hinojosa & A. M. Mármol, 2011. "Egalitarianism and Utilitarianism in Multiple Criteria Decision Problems with Partial Information," Group Decision and Negotiation, Springer, vol. 20(6), pages 707-724, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jsusta:v:12:y:2020:i:22:p:9602-:d:446905. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.