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A survey of decision-making methods with probabilistic linguistic information: bibliometrics, preliminaries, methodologies, applications and future directions

Author

Listed:
  • Huchang Liao

    (Sichuan University)

  • Xiaomei Mi

    (Sichuan University)

  • Zeshui Xu

    (Sichuan University
    Nanjing University of Information Science and Technology)

Abstract

Probabilistic linguistic term set (PLTS) has been proposed to tackle qualitative information efficiently in the decision-making process to achieve computing with expressions, which can be regarded as an advanced process of computing with words. The PLTS plays an important role in decision making by providing a comprehensive way for representing complex linguistic information. Owning to its usefulness and efficiency, the PLTS has attracted a lot of researchers’ attention, and fruitful research achievements regarding it has been published since it was introduced in 2016. As the probabilistic linguistic theory is still in its infancy, a survey of it contributes to understanding the previous topics and the current issues, and predicting the future research directions in this area. To implement these goals, this paper is organized by bibliometric analysis, definitions, multiple criteria decision-making methods, preference relations, and applications. Twelve future research directions related to the probabilistic linguistic decision-making theory are indicated. This paper provides some insights for researchers and practitioners who have interest in complex linguistic decision making.

Suggested Citation

  • Huchang Liao & Xiaomei Mi & Zeshui Xu, 2020. "A survey of decision-making methods with probabilistic linguistic information: bibliometrics, preliminaries, methodologies, applications and future directions," Fuzzy Optimization and Decision Making, Springer, vol. 19(1), pages 81-134, March.
    • Handle: RePEc:spr:fuzodm:v:19:y:2020:i:1:d:10.1007_s10700-019-09309-5
    DOI: 10.1007/s10700-019-09309-5
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    1. Ali Gazni & Fereshteh Didegah, 2011. "Investigating different types of research collaboration and citation impact: a case study of Harvard University’s publications," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(2), pages 251-265, May.
    2. Tseng, Ming-Lang & Wu, Kuo-Jui & Hu, Jiayao & Wang, Chin-Hsin, 2018. "Decision-making model for sustainable supply chain finance under uncertainties," International Journal of Production Economics, Elsevier, vol. 205(C), pages 30-36.
    3. Yongming Song, 2018. "Deriving the priority weights from probabilistic linguistic preference relation with unknown probabilities," PLOS ONE, Public Library of Science, vol. 13(12), pages 1-17, December.
    4. Xu, Xiaozhan, 2001. "The SIR method: A superiority and inferiority ranking method for multiple criteria decision making," European Journal of Operational Research, Elsevier, vol. 131(3), pages 587-602, June.
    5. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    6. Zhu, Bin & Xu, Zeshui & Zhang, Ren & Hong, Mei, 2015. "Generalized analytic network process," European Journal of Operational Research, Elsevier, vol. 244(1), pages 277-288.
    7. Beuthe, Michel & Scannella, Giuseppe, 2001. "Comparative analysis of UTA multicriteria methods," European Journal of Operational Research, Elsevier, vol. 130(2), pages 246-262, April.
    8. Wanying Xie & Zeshui Xu & Zhiliang Ren & Hai Wang, 2018. "Probabilistic Linguistic Analytic Hierarchy Process and Its Application on the Performance Assessment of Xiongan New Area," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(06), pages 1693-1724, November.
    9. Xiao Fang Zhang & Ze Shui Xu & Pei Jia Ren, 2019. "A Novel Hybrid Correlation Measure for Probabilistic Linguistic Term Sets and Crisp Numbers and Its Application in Customer Relationship Management," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 673-694, March.
    10. Sui-zhi Luo & Hong-yu Zhang & Jian-qiang Wang & Lin Li, 2019. "Group decision-making approach for evaluating the sustainability of constructed wetlands with probabilistic linguistic preference relations," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(12), pages 2039-2055, December.
    11. Wu, Xingli & Liao, Huchang, 2019. "A consensus-based probabilistic linguistic gained and lost dominance score method," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1017-1027.
    12. Xiaobing Yu & Hong Chen & Zhonghui Ji, 2019. "Combination of Probabilistic Linguistic Term Sets and PROMETHEE to Evaluate Meteorological Disaster Risk: Case Study of Southeastern China," Sustainability, MDPI, vol. 11(5), pages 1-13, March.
    13. Abramo, Giovanni & D’Angelo, Ciriaco Andrea & Solazzi, Marco, 2011. "Are researchers that collaborate more at the international level top performers? An investigation on the Italian university system," Journal of Informetrics, Elsevier, vol. 5(1), pages 204-213.
    14. 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.
    15. Paelinck, J. H. P., 1978. "Qualiflex: A flexible multiple-criteria method," Economics Letters, Elsevier, vol. 1(3), pages 193-197.
    16. Roubens, Marc, 1982. "Preference relations on actions and criteria in multicriteria decision making," European Journal of Operational Research, Elsevier, vol. 10(1), pages 51-55, May.
    17. Nees Jan Eck & Ludo Waltman, 2010. "Software survey: VOSviewer, a computer program for bibliometric mapping," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(2), pages 523-538, August.
    18. Xiaolu Zhang & Xiaoming Xing, 2017. "Probabilistic Linguistic VIKOR Method to Evaluate Green Supply Chain Initiatives," Sustainability, MDPI, vol. 9(7), pages 1-18, July.
    19. Vansnick, Jean-Claude, 1986. "On the problem of weights in multiple criteria decision making (the noncompensatory approach)," European Journal of Operational Research, Elsevier, vol. 24(2), pages 288-294, February.
    20. Rezaei, Jafar, 2015. "Best-worst multi-criteria decision-making method," Omega, Elsevier, vol. 53(C), pages 49-57.
    21. Behzadian, Majid & Kazemzadeh, R.B. & Albadvi, A. & Aghdasi, M., 2010. "PROMETHEE: A comprehensive literature review on methodologies and applications," European Journal of Operational Research, Elsevier, vol. 200(1), pages 198-215, January.
    22. V. Srinivasan & Allan Shocker, 1973. "Linear programming techniques for multidimensional analysis of preferences," Psychometrika, Springer;The Psychometric Society, vol. 38(3), pages 337-369, September.
    23. Llamazares, Bonifacio, 2018. "An analysis of the generalized TODIM method," European Journal of Operational Research, Elsevier, vol. 269(3), pages 1041-1049.
    24. Yongming Song & Guangxu Li, 2019. "A large-scale group decision-making with incomplete multi-granular probabilistic linguistic term sets and its application in sustainable supplier selection," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(5), pages 827-841, May.
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    17. Min Xue & Chao Fu & Shanlin Yang, 2022. "A comparative analysis of probabilistic linguistic preference relations and distributed preference relations for decision making," Fuzzy Optimization and Decision Making, Springer, vol. 21(1), pages 71-97, March.
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    19. Zhenzhen Ma & Jianjun Zhu & Shitao Zhang, 2021. "Probabilistic-based expressions in behavioral multi-attribute decision making considering pre-evaluation," Fuzzy Optimization and Decision Making, Springer, vol. 20(1), pages 145-173, March.
    20. Qi Wang & Shuo Wang & Si Fu, 2023. "A Sustainable Iterative Product Design Method Based on Considering User Needs from Online Reviews," Sustainability, MDPI, vol. 15(7), pages 1-16, March.

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