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A Decision Framework under a Linguistic Hesitant Fuzzy Set for Solving Multi-Criteria Group Decision Making Problems

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  • R. Krishankumar

    (School of computing, SASTRA University, Thanjavur 613401, India)

  • K. S. Ravichandran

    (School of computing, SASTRA University, Thanjavur 613401, India)

  • J. Premaladha

    (School of computing, SASTRA University, Thanjavur 613401, India)

  • Samarjit Kar

    (Department of Mathematics, National Institute of Technology Durgapur, West Bengal 713209, India)

  • Edmundas Kazimieras Zavadskas

    (Department of Construction Technology and Management, Vilnius Gediminas Technical University, Sauletekio al. 11, Vilnius LT-10223, Lithuania)

  • Jurgita Antucheviciene

    (Laboratory of Operational Research, Research Institute of Sustainable Construction, Vilnius Gediminas Technical University, Sauletekio al. 11, Vilnius LT-10223, Lithuania)

Abstract

With fast-growing interest in sustainable healthcare management, proper selection and evaluation of hospitals become highly essential. Generally, experts/decision-makers (DMs) prefer qualitative information for rating objects. Motivated by this idea, in this paper, a linguistic hesitant fuzzy set (LHFS) is adopted for elicitation of preference information. The LHFS provides qualitative preferences of DMs as well as reflects their hesitancy, inconsistency, and vagueness. Motivated by the power of LHFS, in this paper we present a new decision framework that initially presents some operational laws and properties. Further, a new aggregation operator called simple linguistic hesitant fuzzy weighted geometry (SLHFWG) is proposed under the LHFS context that uses the strength of power operators. Some properties of SLHFWG are also investigated. Criteria weights are estimated using a newly proposed linguistic hesitant fuzzy statistical variance (LHFSV) method, and objects are ranked using the newly proposed linguistic hesitant fuzzy VIKOR (visekriterijumska optimizacijai kompromisno resenje) (LHFVIKOR) method, which is an extension of VIKOR under the LHFS context. The practicality and usefulness of the proposal are demonstrated by using a hospital evaluation example for sustainable healthcare management. Finally, the strengths and weaknesses of the proposal are realized by comparison with other methods.

Suggested Citation

  • R. Krishankumar & K. S. Ravichandran & J. Premaladha & Samarjit Kar & Edmundas Kazimieras Zavadskas & Jurgita Antucheviciene, 2018. "A Decision Framework under a Linguistic Hesitant Fuzzy Set for Solving Multi-Criteria Group Decision Making Problems," Sustainability, MDPI, vol. 10(8), pages 1-21, July.
    • Handle: RePEc:gam:jsusta:v:10:y:2018:i:8:p:2608-:d:159891
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    References listed on IDEAS

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    1. Su-Min Yu & Huan Zhou & Xiao-Hong Chen & Jian-Qiang Wang, 2015. "A Multi-Criteria Decision-Making Method Based on Heronian Mean Operators Under a Linguistic Hesitant Fuzzy Environment," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(05), pages 1-35.
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    6. Animesh Debnath & Jagannath Roy & Samarjit Kar & Edmundas Kazimieras Zavadskas & Jurgita Antucheviciene, 2017. "A Hybrid MCDM Approach for Strategic Project Portfolio Selection of Agro By-Products," Sustainability, MDPI, vol. 9(8), pages 1-33, July.
    7. Huchang Liao & Di Wu & Yulong Huang & Peijia Ren & Zeshui Xu & Mohit Verma, 2018. "Green Logistic Provider Selection with a Hesitant Fuzzy Linguistic Thermodynamic Method Integrating Cumulative Prospect Theory and PROMETHEE," Sustainability, MDPI, vol. 10(4), pages 1-16, April.
    8. Huan Zhou & Jian-qiang Wang & Hong-yu Zhang & Xiao-hong Chen, 2016. "Linguistic hesitant fuzzy multi-criteria decision-making method based on evidential reasoning," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(2), pages 314-327, January.
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    2. Xue-Guo Xu & Hua Shi & Li-Jun Zhang & Hu-Chen Liu, 2019. "Green Supplier Evaluation and Selection with an Extended MABAC Method Under the Heterogeneous Information Environment," Sustainability, MDPI, vol. 11(23), pages 1-16, November.
    3. Kiruba Nagini R. & S. Uma Devi & Sayed Mohamed, 2020. "A Proposal on Developing a 360° Agile Organizational Structure by Superimposing Matrix Organizational Structure with Cross-functional Teams," Management and Labour Studies, XLRI Jamshedpur, School of Business Management & Human Resources, vol. 45(3), pages 270-294, August.
    4. Raghunathan Krishankumar & Arunodaya Raj Mishra & Fausto Cavallaro & Edmundas Kazimieras Zavadskas & Jurgita Antuchevičienė & Kattur Soundarapandian Ravichandran, 2022. "A New Approach to the Viable Ranking of Zero-Carbon Construction Materials with Generalized Fuzzy Information," Sustainability, MDPI, vol. 14(13), pages 1-24, June.
    5. Wojciech Sałabun & Krzysztof Palczewski & Jarosław Wątróbski, 2019. "Multicriteria Approach to Sustainable Transport Evaluation under Incomplete Knowledge: Electric Bikes Case Study," Sustainability, MDPI, vol. 11(12), pages 1-19, June.
    6. Peide Liu & Xiaoxiao Liu & Guiying Ma & Zhaolong Liang & Changhai Wang & Fawaz E. Alsaadi, 2020. "A Multi-Attribute Group Decision-Making Method Based on Linguistic Intuitionistic Fuzzy Numbers and Dempster–Shafer Evidence Theory," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 499-524, April.

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