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A Stochastic Dominance-Based Approach for Hotel Selection under Probabilistic Linguistic Environment

Author

Listed:
  • Su-min Yu

    (Institute of Big Data Intelligent Management and Decision, College of Management, Shenzhen University, Shenzhen 518060, China)

  • Zhi-jiao Du

    (Business School, Sun Yat-sen University, Guangzhou 510275, China)

  • Xu-dong Lin

    (Institute of Big Data Intelligent Management and Decision, College of Management, Shenzhen University, Shenzhen 518060, China)

  • Han-yang Luo

    (Institute of Big Data Intelligent Management and Decision, College of Management, Shenzhen University, Shenzhen 518060, China)

  • Jian-qiang Wang

    (School of Business, Central South University, Changsha 410083, China)

Abstract

Online reviews of hotels reflect tourist perception and evaluation, which are becoming an important perspective of studying hotel selection. In this paper, we prefer to use a probabilistic linguistic term set (PLTS) to fully reveal evaluation grades and the corresponding probability distribution in the online reviews of hotels. In this way, we propose a novel stochastic dominance-based approach based on stochastic dominance degrees of PLTSs and a stochastic multi-criteria acceptability analysis (SMAA) method that tolerates missing information. Among them, first-, second-, and third-order stochastic dominance degrees of PLTSs are calculated on the premise that the dominance relationships between PLTSs can be defined based on first-, second-, and third-order stochastic dominance rules of PLTSs. Based on these basic researches, five hotels are selected as alternatives in our case study to verify the validity and feasibility of the proposed approach. In the end, data analysis illustrates the influence of parameter and linguistic scale functions and how to choose appropriate parameter values. Furthermore, comparative analysis with other methods shows the stability of the proposed approach.

Suggested Citation

  • Su-min Yu & Zhi-jiao Du & Xu-dong Lin & Han-yang Luo & Jian-qiang Wang, 2020. "A Stochastic Dominance-Based Approach for Hotel Selection under Probabilistic Linguistic Environment," Mathematics, MDPI, vol. 8(9), pages 1-25, September.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1525-:d:409958
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    References listed on IDEAS

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    1. Fang, Bin & Ye, Qiang & Kucukusta, Deniz & Law, Rob, 2016. "Analysis of the perceived value of online tourism reviews: Influence of readability and reviewer characteristics," Tourism Management, Elsevier, vol. 52(C), pages 498-506.
    2. Govindan, Kannan & Kadziński, Miłosz & Ehling, Ronja & Miebs, Grzegorz, 2019. "Selection of a sustainable third-party reverse logistics provider based on the robustness analysis of an outranking graph kernel conducted with ELECTRE I and SMAA," Omega, Elsevier, vol. 85(C), pages 1-15.
    3. Nowak, Maciej, 2006. "INSDECM--an interactive procedure for stochastic multicriteria decision problems," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1413-1430, December.
    4. Lahdelma, Risto & Hokkanen, Joonas & Salminen, Pekka, 1998. "SMAA - Stochastic multiobjective acceptability analysis," European Journal of Operational Research, Elsevier, vol. 106(1), pages 137-143, April.
    5. Lahdelma, Risto & Salminen, Pekka, 2002. "Pseudo-criteria versus linear utility function in stochastic multi-criteria acceptability analysis," European Journal of Operational Research, Elsevier, vol. 141(2), pages 454-469, September.
    6. Tan, Huimin & Lv, Xingyang & Liu, Xiaoyan & Gursoy, Dogan, 2018. "Evaluation nudge: Effect of evaluation mode of online customer reviews on consumers’ preferences," Tourism Management, Elsevier, vol. 65(C), pages 29-40.
    7. Liu, Zhiwei & Park, Sangwon, 2015. "What makes a useful online review? Implication for travel product websites," Tourism Management, Elsevier, vol. 47(C), pages 140-151.
    8. Li, Gang & Law, Rob & Vu, Huy Quan & Rong, Jia, 2013. "Discovering the hotel selection preferences of Hong Kong inbound travelers using the Choquet Integral," Tourism Management, Elsevier, vol. 36(C), pages 321-330.
    9. Zaras, Kazimierz, 2001. "Rough approximation of a preference relation by a multi-attribute stochastic dominance for determinist and stochastic evaluation problems," European Journal of Operational Research, Elsevier, vol. 130(2), pages 305-314, April.
    10. Zaras, Kazimierz, 2004. "Rough approximation of a preference relation by a multi-attribute dominance for deterministic, stochastic and fuzzy decision problems," European Journal of Operational Research, Elsevier, vol. 159(1), pages 196-206, November.
    11. Jiang, Yanping & Liang, Xia & Liang, Haiming & Yang, Ningman, 2018. "Multiple criteria decision making with interval stochastic variables: A method based on interval stochastic dominance," European Journal of Operational Research, Elsevier, vol. 271(2), pages 632-643.
    12. Zhang-Peng Tian & Ru-Xin Nie & Jian-Qiang Wang, 2020. "Probabilistic linguistic multi-criteria decision-making based on evidential reasoning and combined ranking methods considering decision-makers’ psychological preferences," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 71(5), pages 700-717, May.
    13. Angilella, Silvia & Corrente, Salvatore & Greco, Salvatore, 2015. "Stochastic multiobjective acceptability analysis for the Choquet integral preference model and the scale construction problem," European Journal of Operational Research, Elsevier, vol. 240(1), pages 172-182.
    14. Risto Lahdelma & Pekka Salminen, 2001. "SMAA-2: Stochastic Multicriteria Acceptability Analysis for Group Decision Making," Operations Research, INFORMS, vol. 49(3), pages 444-454, June.
    15. Nowak, Maciej, 2004. "Preference and veto thresholds in multicriteria analysis based on stochastic dominance," European Journal of Operational Research, Elsevier, vol. 158(2), pages 339-350, October.
    16. Corrente, Salvatore & Figueira, José Rui & Greco, Salvatore, 2014. "The SMAA-PROMETHEE method," European Journal of Operational Research, Elsevier, vol. 239(2), pages 514-522.
    17. Sparks, Beverley A. & Perkins, Helen E. & Buckley, Ralf, 2013. "Online travel reviews as persuasive communication: The effects of content type, source, and certification logos on consumer behavior," Tourism Management, Elsevier, vol. 39(C), pages 1-9.
    18. Deniz Okul & Cevriye Gencer & Emel Kizilkaya Aydogan, 2014. "A Method Based on SMAA-Topsis for Stochastic Multi-Criteria Decision Making and a Real-World Application," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 13(05), pages 957-978.
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    Cited by:

    1. Minhui Ren & Yu Fan & Jindong Chen & Jian Zhang, 2023. "A Multi-Stage Model for Perceived Quality Evaluation of Clothing Brands," Mathematics, MDPI, vol. 11(18), pages 1-16, September.
    2. Bilbao-Terol, Amelia & Bilbao-Terol, Celia, 2024. "The Choquet integral supported by a hedonic approach for modelling preferences in hotel selection," Omega, Elsevier, vol. 122(C).

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