IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i10p1816-d430246.html
   My bibliography  Save this article

A New Method Based on PROMETHEE and TODIM for Multi-Attribute Decision-Making with Single-Valued Neutrosophic Sets

Author

Listed:
  • Dongsheng Xu

    (School of Science, Southwest Petroleum University, Chengdu 610500, China)

  • Xiaolan Wei

    (School of Science, Southwest Petroleum University, Chengdu 610500, China)

  • Hui Ding

    (Department of Mathematical Sciences, The University of Texas at Dallas, 800 West Campbell Road, Richardson, TX 75080, USA)

  • Hongqiong Bin

    (School of Foreign Languages, Sichuan University, Chengdu 610065, China)

Abstract

Single-valued neutrosophic sets (SVNSs) can effectively describe the multi-attribute decision-making (MADM) problems which are characterized by incompleteness and uncertainty. Aiming at the MADM problem of SVNSs, a series of methods are proposed to solve the problem, such as the TODIM and PROMETHEE methods. The main idea of the TODIM method is to establish a relative superiority function of scheme relative to other schemes based on the value function of prospect theory, and the ranking of alternatives is determined according to the obtained superiority. In the PROMETHEE method, the decision maker selects the preference function for each attribute according to their preference, and then calculates the priority index, inflow, outflow and net flow according to the difference of the attribute values of scheme, so as to determine the ranking of alternatives. In this paper, a new method based on PROMETHEE and TODIM is proposed to solve the MADM problem under the single-valued neutrosophic environment. Based on the calculation formula of inflow and outflow in PROMETHEE method, and the calculation formula of overall dominance in the TODIM method, a new integrated formula is obtained.

Suggested Citation

  • Dongsheng Xu & Xiaolan Wei & Hui Ding & Hongqiong Bin, 2020. "A New Method Based on PROMETHEE and TODIM for Multi-Attribute Decision-Making with Single-Valued Neutrosophic Sets," Mathematics, MDPI, vol. 8(10), pages 1-12, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1816-:d:430246
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/10/1816/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/10/1816/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yuan-Sheng Lee & Hsu-Shih Shih, 2016. "Incremental analysis for generalized TODIM," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 24(4), pages 901-922, December.
    2. Tayfun Arar & Serhat Karaoğlan & Ceren Dirik, 2019. "Office location selection by fuzzy AHP and VIKOR," International Journal of Information and Decision Sciences, Inderscience Enterprises Ltd, vol. 11(1), pages 36-54.
    3. Dilip Kumar Sen & Saurav Datta & Siba Sankar Mahapatra, 2017. "Extension of TODIM for decision making in fuzzy environment: a case empirical research on selection of industrial robot," International Journal of Services and Operations Management, Inderscience Enterprises Ltd, vol. 26(2), pages 238-276.
    4. Ling Gai & Zhiyue Peng & Jiming Zhang & Jiafu Zhang, 0. "Emergency medical center location problem with people evacuation solved by extended TODIM and objective programming," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-26.
    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. Leoneti, Alexandre Bevilacqua & Gomes, Luiz Flavio Autran Monteiro, 2021. "Modeling multicriteria group decision making as games from enhanced pairwise comparisons," Operations Research Perspectives, Elsevier, vol. 8(C).
    2. Llamazares, Bonifacio, 2018. "An analysis of the generalized TODIM method," European Journal of Operational Research, Elsevier, vol. 269(3), pages 1041-1049.
    3. Leoneti, Alexandre Bevilacqua & Gomes, Luiz Flavio Autran Monteiro, 2021. "A novel version of the TODIM method based on the exponential model of prospect theory: The ExpTODIM method," European Journal of Operational Research, Elsevier, vol. 295(3), pages 1042-1055.
    4. Jian Wang & Yin Wang & Mingzhu Yu, 0. "A multi-period ambulance location and allocation problem in the disaster," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-24.

    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:jmathe:v:8:y:2020:i:10:p:1816-:d:430246. 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.