IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i7p1051-d378243.html
   My bibliography  Save this article

A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator

Author

Listed:
  • Chao Tian

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

  • Juan Juan Peng

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

Abstract

The aggregation operator is one of the most common techniques to solve multi-criteria decision-making (MCDM) problems. The aim of this paper is to propose an MCDM method based on the improved single-valued neutrosophic weighted geometric (ISVNWG) operator. First, the defects of several existing single-valued neutrosophic weighted geometric aggregation operators in terms of producing uncertain results in some special cases are analyzed. Second, an ISVNWG operator is proposed to avoid the defects of existing operators. Further, the properties of the proposed ISVNWG operator, including idempotency, boundedness, monotonicity, and commutativity, are discussed. Finally, a single-valued neutrosophic MCDM method based on the developed ISVNWG operator is proposed to overcome the defects of existing MCDM methods based on existing operators. Application examples demonstrate that our proposed operator and corresponding MCDM method are effective and rational for avoiding uncertain results in some special cases.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1051-:d:378243
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/7/1051/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/7/1051/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jun Dong & Rong Li & Hui Huang, 2018. "Performance Evaluation of Residential Demand Response Based on a Modified Fuzzy VIKOR and Scalable Computing Method," Energies, MDPI, vol. 11(5), pages 1-27, April.
    2. 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.
    3. 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.
    4. Harish Garg & Rishu Arora, 2018. "Bonferroni mean aggregation operators under intuitionistic fuzzy soft set environment and their applications to decision-making," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(11), pages 1711-1724, November.
    5. 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.
    6. Chia-Nan Wang & Van Thanh Nguyen & Jiin-Tian Chyou & Tsung-Fu Lin & Tran Ngoc Nguyen, 2019. "Fuzzy Multicriteria Decision-Making Model (MCDM) for Raw Materials Supplier Selection in Plastics Industry," Mathematics, MDPI, vol. 7(10), pages 1-17, October.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. 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.
    3. Kuei-Hu Chang, 2022. "A novel reliability calculation method under neutrosophic environments," Annals of Operations Research, Springer, vol. 315(2), pages 1599-1615, August.
    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. 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.
    6. Xiaoli Tian & Zeshui Xu & Xinxin Wang & Jing Gu & Fawaz E. Alsaadi, 2019. "Decision Models to Find a Promising Start-Up Firm with Qualiflex under Probabilistic Linguistic Circumstance," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1379-1402, July.
    7. Tai-Wei Chang & Fei-Fan Chen & Hua-Dong Luan & Yu-Shan Chen, 2019. "Effect of Green Organizational Identity, Green Shared Vision, and Organizational Citizenship Behavior for the Environment on Green Product Development Performance," Sustainability, MDPI, vol. 11(3), pages 1-17, January.
    8. Juan-juan Peng & Jian-qiang Wang & Wu-E Yang, 2017. "A multi-valued neutrosophic qualitative flexible approach based on likelihood for multi-criteria decision-making problems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 425-435, January.
    9. Huiping Chen & Yan Liu, 2024. "Group Decision-Making Method with Incomplete Intuitionistic Fuzzy Soft Information for Medical Diagnosis Model," Mathematics, MDPI, vol. 12(12), pages 1-26, June.
    10. Ke-Qin Wang & Hu-Chen Liu & Liping Liu & Jia Huang, 2017. "Green Supplier Evaluation and Selection Using Cloud Model Theory and the QUALIFLEX Method," Sustainability, MDPI, vol. 9(5), pages 1-17, April.
    11. Sun, Peng & Zhang, Jun, 2020. "Group decision under uncertain information," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    12. Jiaji Pan & Ruilin Fan & Hanlu Zhang & Yi Gao & Zhiquan Shu & Zhongxiang Chen, 2022. "Investigating the Effectiveness of Government Public Health Systems against COVID-19 by Hybrid MCDM Approaches," Mathematics, MDPI, vol. 10(15), pages 1-20, July.
    13. 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.
    14. 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.
    15. 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.
    16. Mei Tang & Jie Wang & Jianping Lu & Guiwu Wei & Cun Wei & Yu Wei, 2019. "Dual Hesitant Pythagorean Fuzzy Heronian Mean Operators in Multiple Attribute Decision Making," Mathematics, MDPI, vol. 7(4), pages 1-27, April.
    17. 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.
    18. Songtao Shao & Xiaohong Zhang, 2019. "Measures of Probabilistic Neutrosophic Hesitant Fuzzy Sets and the Application in Reducing Unnecessary Evaluation Processes," Mathematics, MDPI, vol. 7(7), pages 1-23, July.
    19. Ji Chen & Shouzhen Zeng & Chonghui Zhang, 2018. "An OWA Distance-Based, Single-Valued Neutrosophic Linguistic TOPSIS Approach for Green Supplier Evaluation and Selection in Low-Carbon Supply Chains," IJERPH, MDPI, vol. 15(7), pages 1-15, July.
    20. 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.

    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:1051-:d:378243. 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.