IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i7p1189-d386916.html
   My bibliography  Save this article

A Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Partitioned Heronian Mean Operator

Author

Listed:
  • Chao Tian

    (School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China)

  • Juan Juan Peng

    (School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China)

  • Zhi Qiang Zhang

    (School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China)

  • Mark Goh

    (NUS School of Business, National University of Singapore, Singapore 117592, Singapore)

  • Jian Qiang Wang

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

Abstract

A multi-criteria decision-making (MCDM) method with single-valued neutrosophic information is developed based on the Partitioned Heronian Mean (PHM) operator and the Shapley fuzzy measure, which recognizes correlation among the selection criteria. Motivated by the PHM operator and Shapley fuzzy measure, two new aggregation operators, namely the single-valued neutrosophic PHM operator and the weighted single-valued neutrosophic Shapley PHM operator, are defined, and their corresponding properties and some special cases are investigated. An MCDM model is applied to solve the single-valued neutrosophic problem where weight information is not completely known. An example is provided to validate the proposed method.

Suggested Citation

  • Chao Tian & Juan Juan Peng & Zhi Qiang Zhang & Mark Goh & Jian Qiang Wang, 2020. "A Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Partitioned Heronian Mean Operator," Mathematics, MDPI, vol. 8(7), pages 1-25, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1189-:d:386916
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/7/1189/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/7/1189/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Juan-juan Peng & Jian-qiang Wang & Jing Wang & Hong-yu Zhang & Xiao-hong Chen, 2016. "Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2342-2358, July.
    2. Hong-gang Peng & Jian-qiang Wang, 2020. "Multi-criteria sorting decision making based on dominance and opposition relations with probabilistic linguistic information," Fuzzy Optimization and Decision Making, Springer, vol. 19(4), pages 435-470, December.
    3. Meiling Liu & Shouzhen Zeng & Tomas Baležentis & Dalia Streimikiene, 2019. "Picture Fuzzy Weighted Distance Measures and their Application to Investment Selection," The AMFITEATRU ECONOMIC journal, Academy of Economic Studies - Bucharest, Romania, vol. 21(52), pages 682-682, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mohamed Abdel-Basset & Abduallah Gamal & Nour Moustafa & S. S. Askar & Mohamed Abouhawwash, 2022. "A Risk Assessment Model for Cyber-Physical Water and Wastewater Systems: Towards Sustainable Development," Sustainability, MDPI, vol. 14(8), pages 1-34, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Shengjun Wu & Jie Wang & Guiwu Wei & Yu Wei, 2018. "Research on Construction Engineering Project Risk Assessment with Some 2-Tuple Linguistic Neutrosophic Hamy Mean Operators," Sustainability, MDPI, vol. 10(5), pages 1-26, May.
    2. Kuei-Hu Chang, 2022. "A novel reliability calculation method under neutrosophic environments," Annals of Operations Research, Springer, vol. 315(2), pages 1599-1615, August.
    3. Nuraini Rahim & Lazim Abdullah & Binyamin Yusoff, 2020. "A Border Approximation Area Approach Considering Bipolar Neutrosophic Linguistic Variable for Sustainable Energy Selection," Sustainability, MDPI, vol. 12(10), pages 1-21, May.
    4. Wendi Chen & Jiaxing Gu & Shouzhen Zeng & Xiaoying Xie, 2023. "Solid Waste Landfill Site Assessment Framework Based on Single-Valued Neutrosophic Hybrid Aggregation and Multi-Criteria Analysis," Sustainability, MDPI, vol. 15(7), pages 1-21, March.
    5. Huimin Xiao & Shouwen Wu & Chunsheng Cui, 2022. "The Research on Consistency Checking and Improvement of Probabilistic Linguistic Preference Relation Based on Similarity Measure and Minimum Adjustment Model," Mathematics, MDPI, vol. 10(9), pages 1-18, April.
    6. Xiao-kang Wang & Sheng-hui Wang & Hong-yu Zhang & Jian-qiang Wang & Lin Li, 2021. "The Recommendation Method for Hotel Selection Under Traveller Preference Characteristics: A Cloud-Based Multi-Criteria Group Decision Support Model," Group Decision and Negotiation, Springer, vol. 30(6), pages 1433-1469, December.
    7. Fabio Blanco-Mesa & Ernesto León-Castro & Jorge Romero-Muñoz, 2021. "Pythagorean Membership Grade Aggregation Operators: Application in Financial knowledge," Mathematics, MDPI, vol. 9(17), pages 1-15, September.
    8. Qaisar Khan & Peide Liu & Tahir Mahmood, 2018. "Some Generalized Dice Measures for Double-Valued Neutrosophic Sets and Their Applications," Mathematics, MDPI, vol. 6(7), pages 1-16, July.
    9. Juan-juan Peng & Chao Tian & Zhi-qiang Zhang & Hai-yu Song & Jian-qiang Wang, 2019. "Single-Valued Neutrosophic Power Shapley Choquet Average Operators and Their Applications to Multi-Criteria Decision-Making," Mathematics, MDPI, vol. 7(11), pages 1-27, November.
    10. Naeem Jan & Kifayat Ullah & Tahir Mahmood & Harish Garg & Bijan Davvaz & Arsham Borumand Saeid & Said Broumi, 2019. "Some Root Level Modifications in Interval Valued Fuzzy Graphs and Their Generalizations Including Neutrosophic Graphs," Mathematics, MDPI, vol. 7(1), pages 1-22, January.
    11. Chao Tian & Wen Yu Zhang & Shuai Zhang & Juan Juan Peng, 2019. "An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method," Mathematics, MDPI, vol. 7(1), pages 1-16, January.
    12. 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.
    13. Muhammad Riaz & Hafiz Muhammad Athar Farid & Jurgita Antucheviciene & Gülay Demir, 2023. "Efficient Decision Making for Sustainable Energy Using Single-Valued Neutrosophic Prioritized Interactive Aggregation Operators," Mathematics, MDPI, vol. 11(9), pages 1-29, May.
    14. Dan-Ping Li & Li Xie & Peng-Fei Cheng & Xiang-Hong Zhou & Cheng-Xun Fu, 2021. "Green Supplier Selection Under Cloud Manufacturing Environment: A Hybrid MCDM Model," SAGE Open, , vol. 11(4), pages 21582440211, November.
    15. Xiao-Kang Wang & Yi-Ting Wang & Jian-Qiang Wang & Peng-Fei Cheng & Lin Li, 2020. "A TODIM-PROMETHEE Ⅱ Based Multi-Criteria Group Decision Making Method for Risk Evaluation of Water Resource Carrying Capacity under Probabilistic Linguistic Z-Number Circumstances," Mathematics, MDPI, vol. 8(7), pages 1-27, July.
    16. Chao Tian & Juan Juan Peng, 2020. "A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator," Mathematics, MDPI, vol. 8(7), pages 1-17, June.
    17. Jie Wang & Jianping Lu & Guiwu Wei & Rui Lin & Cun Wei, 2019. "Models for MADM with Single-Valued Neutrosophic 2-Tuple Linguistic Muirhead Mean Operators," Mathematics, MDPI, vol. 7(5), pages 1-26, May.
    18. Zhang-peng Tian & Jing Wang & Jian-qiang Wang & Hong-yu Zhang, 2017. "Simplified Neutrosophic Linguistic Multi-criteria Group Decision-Making Approach to Green Product Development," Group Decision and Negotiation, Springer, vol. 26(3), pages 597-627, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1189-:d:386916. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.