IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i2p223-d318497.html
   My bibliography  Save this article

Multi-Attribute Group Decision Making Based on Multigranulation Probabilistic Models with Interval-Valued Neutrosophic Information

Author

Listed:
  • Chao Zhang

    (Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, School of Computer and Information Technology, Shanxi University, Taiyuan 030006, China)

  • Deyu Li

    (Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, School of Computer and Information Technology, Shanxi University, Taiyuan 030006, China)

  • Xiangping Kang

    (Key Laboratory of Embedded System and Service Computing, Ministry of Education, Department of Computer Science and Technology, Tongji University, Shanghai 201804, China
    China National Tobacco Corporation, Shanxi, Taiyuan 030000, China)

  • Yudong Liang

    (Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, School of Computer and Information Technology, Shanxi University, Taiyuan 030006, China)

  • Said Broumi

    (Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Sidi Othman, Casablanca B.P 7955, Morocco)

  • Arun Kumar Sangaiah

    (School of Computing Science and Engineering, Vellore Institute of Technology (VIT), Vellore 632014, India)

Abstract

In plenty of realistic situations, multi-attribute group decision-making (MAGDM) is ubiquitous and significant in daily activities of individuals and organizations. Among diverse tools for coping with MAGDM, granular computing-based approaches constitute a series of viable and efficient theories by means of multi-view problem solving strategies. In this paper, in order to handle MAGDM issues with interval-valued neutrosophic (IN) information, we adopt one of the granular computing (GrC)-based approaches, known as multigranulation probabilistic models, to address IN MAGDM problems. More specifically, after revisiting the related fundamental knowledge, three types of IN multigranulation probabilistic models are designed at first. Then, some key properties of the developed theoretical models are explored. Afterwards, a MAGDM algorithm for merger and acquisition target selections (M&A TSs) with IN information is summed up. Finally, a real-life case study together with several detailed discussions is investigated to present the validity of the developed models.

Suggested Citation

  • Chao Zhang & Deyu Li & Xiangping Kang & Yudong Liang & Said Broumi & Arun Kumar Sangaiah, 2020. "Multi-Attribute Group Decision Making Based on Multigranulation Probabilistic Models with Interval-Valued Neutrosophic Information," Mathematics, MDPI, vol. 8(2), pages 1-21, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:223-:d:318497
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/2/223/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/2/223/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Zeshui Xu, 2015. "Uncertain Multi-Attribute Decision Making," Springer Books, Springer, edition 127, number 978-3-662-45640-8, December.
    2. Changxing Fan & Jun Ye & Sheng Feng & En Fan & Keli Hu, 2019. "Multi-Criteria Decision-Making Method Using Heronian Mean Operators under a Bipolar Neutrosophic Environment," Mathematics, MDPI, vol. 7(1), pages 1-16, January.
    3. 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.
    4. Chao Zhang & Deyu Li & Yimin Mu & Dong Song, 2018. "A Pythagorean Fuzzy Multigranulation Probabilistic Model for Mine Ventilator Fault Diagnosis," Complexity, Hindawi, vol. 2018, pages 1-19, October.
    5. Florentin Smarandache, 2019. "Refined Neutrosophy and Lattices vs. Pair Structures and YinYang Bipolar Fuzzy Set," Mathematics, MDPI, vol. 7(4), pages 1-16, April.
    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. Jascha-Alexander Koch & Jens Lausen & Moritz Kohlhase, 2021. "Internalizing the externalities of overfunding: an agent-based model approach for analyzing the market dynamics on crowdfunding platforms," Journal of Business Economics, Springer, vol. 91(9), pages 1387-1430, November.
    2. Ping Wang & Jie Wang & Guiwu Wei & Cun Wei, 2019. "Similarity Measures of q-Rung Orthopair Fuzzy Sets Based on Cosine Function and Their Applications," Mathematics, MDPI, vol. 7(4), pages 1-23, April.
    3. Fabio Blanco-Mesa & Anna M. Gil-Lafuente & José M. Merigó, 2018. "Subjective stakeholder dynamics relationships treatment: a methodological approach using fuzzy decision-making," Computational and Mathematical Organization Theory, Springer, vol. 24(4), pages 441-472, December.
    4. Yayi Yuan & Zeshui Xu & Yixin Zhang, 2022. "The DEMATEL–COPRAS hybrid method under probabilistic linguistic environment and its application in Third Party Logistics provider selection," Fuzzy Optimization and Decision Making, Springer, vol. 21(1), pages 137-156, March.
    5. Ferrarese, Moreno & Sychev, Sergey A. & Badin, Gennady M., 2015. "Aspetti di efficacia per la formazione di un sistema di trasporto e di controllo di processo nel settore delle macro costruzioni secondo il Supply Chain Management-SCM," Working Papers 1508, SIET Società Italiana di Economia dei Trasporti e della Logistica.
    6. Gao, Kun & Sun, Lijun & Yang, Ying & Meng, Fanyu & Qu, Xiaobo, 2021. "Cumulative prospect theory coupled with multi-attribute decision making for modeling travel behavior," Transportation Research Part A: Policy and Practice, Elsevier, vol. 148(C), pages 1-21.
    7. Ferrarese, Moreno & Sychev, Sergey A. & Badin, Gennady M., 2015. "Aspetti di efficacia per la formazione di un sistema di trasporto e di controllo di processo nel settore delle macro costruzioni secondo il Supply Chain Management-SCM," Working Papers 15_8, SIET Società Italiana di Economia dei Trasporti e della Logistica.
    8. Wanying Xie & Zeshui Xu & Zhiliang Ren & Hai Wang, 2018. "Probabilistic Linguistic Analytic Hierarchy Process and Its Application on the Performance Assessment of Xiongan New Area," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(06), pages 1693-1724, November.
    9. Xunjie Gou & Zeshui Xu, 2017. "Exponential operations for intuitionistic fuzzy numbers and interval numbers in multi-attribute decision making," Fuzzy Optimization and Decision Making, Springer, vol. 16(2), pages 183-204, June.
    10. Donghai Liu & Xiaohong Chen & Dan Peng, 2018. "The Intuitionistic Fuzzy Linguistic Cosine Similarity Measure and Its Application in Pattern Recognition," Complexity, Hindawi, vol. 2018, pages 1-11, April.
    11. Dejian Yu, 2015. "A scientometrics review on aggregation operator research," Scientometrics, Springer;Akadémiai Kiadó, vol. 105(1), pages 115-133, October.
    12. Nicola Bellantuono & Pierpaolo Pontrandolfo & Barbara Scozzi, 2016. "Capturing the Stakeholders’ View in Sustainability Reporting: A Novel Approach," Sustainability, MDPI, vol. 8(4), pages 1-12, April.
    13. Mingwei Lin & Chao Huang & Zeshui Xu, 2019. "TOPSIS Method Based on Correlation Coefficient and Entropy Measure for Linguistic Pythagorean Fuzzy Sets and Its Application to Multiple Attribute Decision Making," Complexity, Hindawi, vol. 2019, pages 1-16, October.
    14. Youcef Askoura & Antoine Billot, 2018. "A probabilistic aggregation rule for large societies," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 251-262, October.
    15. Blanco-Mesa, Fabio & León-Castro, Ernesto & Acosta-Sandoval, Alejandra, 2020. "Toma de Decisiones Estratégicas en Entornos Inciertos || Strategic Decision-Making in Uncertain Environments," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 30(1), pages 79-96, December.
    16. Naif M. Alsanabani & Khalid S. Al-Gahtani & Abdulrahman A. Bin Mahmoud & Saad I. Aljadhai, 2023. "Integrated Methods for Selecting Construction Foundation Type Based on Using a Value Engineering Principle," Sustainability, MDPI, vol. 15(11), pages 1-19, May.
    17. Marcel-Ioan Boloș & Ioana-Alexandra Bradea & Camelia Delcea, 2019. "Neutrosophic Portfolios of Financial Assets. Minimizing the Risk of Neutrosophic Portfolios," Mathematics, MDPI, vol. 7(11), pages 1-27, November.
    18. Arie Taal & Marc X. Makkes & Marijke Kaat & Paola Grosso, 2019. "A multiple attribute relative quality measure based on the harmonic and arithmetic mean," Operational Research, Springer, vol. 19(1), pages 117-134, March.
    19. Michał Piasecki & Krystyna Kostyrko, 2020. "Development of Weighting Scheme for Indoor Air Quality Model Using a Multi-Attribute Decision Making Method," Energies, MDPI, vol. 13(12), pages 1-35, June.

    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:2:p:223-:d:318497. 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.