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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
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    References listed on IDEAS

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    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. 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.
    3. 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.
    4. 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.
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