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Linguistic Picture Fuzzy Dombi Aggregation Operators and Their Application in Multiple Attribute Group Decision Making Problem

Author

Listed:
  • Muhammad Qiyas

    (Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan)

  • Saleem Abdullah

    (Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan)

  • Shahzaib Ashraf

    (Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan)

  • Lazim Abdullah

    (School of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, Kuala Nerus 21030, Malaysia)

Abstract

The aims of this study are to propose the linguistic picture fuzzy Dombi (LPFD) aggregation operators and decision-making approach to deal with uncertainties in the form of linguistic picture fuzzy sets. LPFD operators have more flexibility due to the general fuzzy set. Utilizing the Dombi operational rule, the series of Dombi aggregation operators were proposed, namely linguistic picture fuzzy Dombi arithmetic/geometric, ordered arithmetic/ordered geometric and Hybrid arithmetic/Hybrid geometric aggregation operators. The distinguished feature of these proposed operators is studied. At that point, we have used these Dombi operators to design a model to deal with multiple attribute decision-making (MADM) issues under linguistic picture fuzzy information. Finally, an illustrative example to evaluate the emerging technology enterprises is provided to demonstrate the effectiveness of the proposed approach, together with a sensitivity analysis and comparison analysis, proving that its results are feasible and credible.

Suggested Citation

  • Muhammad Qiyas & Saleem Abdullah & Shahzaib Ashraf & Lazim Abdullah, 2019. "Linguistic Picture Fuzzy Dombi Aggregation Operators and Their Application in Multiple Attribute Group Decision Making Problem," Mathematics, MDPI, vol. 7(8), pages 1-22, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:764-:d:259310
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    References listed on IDEAS

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    1. Shouzhen Zeng & Muhammad Qiyas & Muhammad Arif & Tariq Mahmood, 2019. "Extended Version of Linguistic Picture Fuzzy TOPSIS Method and Its Applications in Enterprise Resource Planning Systems," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-8, January.
    2. Xiaorong He, 2018. "Typhoon disaster assessment based on Dombi hesitant fuzzy information aggregation operators," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 90(3), pages 1153-1175, February.
    3. Peide Liu & Junlin Liu & Shyi-Ming Chen, 2018. "Some intuitionistic fuzzy Dombi Bonferroni mean operators and their application to multi-attribute group decision making," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(1), pages 1-24, January.
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    Cited by:

    1. Fu Zhang & Weimin Ma, 2023. "Study on Chaotic Multi-Attribute Group Decision Making Based on Weighted Neutrosophic Fuzzy Soft Rough Sets," Mathematics, MDPI, vol. 11(4), pages 1-19, February.
    2. Çağlar Karamaşa & Selçuk Korucuk & Ezgi Demir & Salih Memiş, 2023. "A Quantitative Analysis for Prioritizing Success Elements in Agile Logistics Applications: The Case of Giresun and Ordu," Alphanumeric Journal, Bahadir Fatih Yildirim, vol. 11(1), pages 63-84, July.
    3. Kou, Gang & Yüksel, Serhat & Dinçer, Hasan, 2022. "Inventive problem-solving map of innovative carbon emission strategies for solar energy-based transportation investment projects," Applied Energy, Elsevier, vol. 311(C).

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