IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i12p1387-d575215.html
   My bibliography  Save this article

Three-Way Decisions Based on Q-Rung Orthopair Fuzzy 2-Tuple Linguistic Sets with Generalized Maclaurin Symmetric Mean Operators

Author

Listed:
  • Miin-Shen Yang

    (Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, Taoyuan 32023, Taiwan)

  • Zeeshan Ali

    (Department of Mathematics & Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan)

  • Tahir Mahmood

    (Department of Mathematics & Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan)

Abstract

As a typical model of three-way decisions (3WD), decision-theoretic rough sets (DTRS), have gained attention from scholars in decision-making problems. The q-rung orthopair fuzzy 2-tuple linguistic variable (QROF2-TLV) is a mixture of two different notions, q-rung orthopair fuzzy sets (QROFS) and 2-tuple linguistic variables (2-TLV), and is an extensive and proficient technique for coping with awkward and complicated information in realistic decision-making. In this paper, we first propose a DTRS model for 3WD based on QROF2-TLV that gives a new method for evaluating loss functions (LF) of DTRS. We further present the q-rung orthopair fuzzy 2-tuple linguistic generalized Maclaurin symmetric mean (QROF2-TLGMSM) and weighted QROF2-TLGMSM operators and then provide the LFs of DTRS based on QROF2-TLV with the values aggregated by the QROF2-TLGMSM operator. Thus, we propose the q-rung orthopair fuzzy 2-tuple linguistic variable DTRS (QROF2-TLV-DTRS) model. Subsequently, a technique for concluding another DTRS model, which can give the related semantic translation of the decision consequences of every other option, is presented. The model is applied to expound the proposed technique in detail, and the impacts of various conditional probabilities on decision outcomes are discussed. A comparative analysis of the proposed approach is also conducted to examine the proficiency of the proposed method.

Suggested Citation

  • Miin-Shen Yang & Zeeshan Ali & Tahir Mahmood, 2021. "Three-Way Decisions Based on Q-Rung Orthopair Fuzzy 2-Tuple Linguistic Sets with Generalized Maclaurin Symmetric Mean Operators," Mathematics, MDPI, vol. 9(12), pages 1-20, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1387-:d:575215
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/12/1387/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/12/1387/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. V. I. Yukalov & D. Sornette, 2009. "Physics of risk and uncertainty in quantum decision making," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(4), pages 533-548, October.
    2. Miin-Shen Yang & Zahid Hussain & Mehboob Ali, 2020. "Belief and Plausibility Measures on Intuitionistic Fuzzy Sets with Construction of Belief-Plausibility TOPSIS," Complexity, Hindawi, vol. 2020, pages 1-12, August.
    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. Mehrdad Ashtiani & Mohammad Abdollahi Azgomi, 2016. "A formulation of computational trust based on quantum decision theory," Information Systems Frontiers, Springer, vol. 18(4), pages 735-764, August.
    2. Zeeshan Ali & Tahir Mahmood & Miin-Shen Yang, 2023. "Frank Prioritized Aggregation Operators and WASPAS Method Based on Complex Intuitionistic Fuzzy Sets and Their Application in Multi-Attribute Decision-Making," Mathematics, MDPI, vol. 11(9), pages 1-21, April.
    3. Zeeshan Ali & Tahir Mahmood & Miin-Shen Yang, 2020. "TOPSIS Method Based on Complex Spherical Fuzzy Sets with Bonferroni Mean Operators," Mathematics, MDPI, vol. 8(10), pages 1-19, October.
    4. Hanauske, Matthias & Kunz, Jennifer & Bernius, Steffen & König, Wolfgang, 2010. "Doves and hawks in economics revisited: An evolutionary quantum game theory based analysis of financial crises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 5084-5102.
    5. West, B.J. & Grigolini, P., 2010. "A psychophysical model of decision making," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3580-3587.
    6. Maroussia Favre & Amrei Wittwer & Hans Rudolf Heinimann & Vyacheslav I Yukalov & Didier Sornette, 2016. "Quantum Decision Theory in Simple Risky Choices," PLOS ONE, Public Library of Science, vol. 11(12), pages 1-29, December.
    7. V. Yukalov & D. Sornette, 2011. "Decision theory with prospect interference and entanglement," Theory and Decision, Springer, vol. 70(3), pages 283-328, March.
    8. Ashtiani, Mehrdad & Azgomi, Mohammad Abdollahi, 2015. "A survey of quantum-like approaches to decision making and cognition," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 49-80.
    9. Bhattacharyya, Trambak & Shukla, Shanu & Pandey, Ranu, 2022. "A Tsallis-like effective exponential delay discounting model and its implications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    10. V. I. Yukalov & D. Sornette, 2012. "Quantum decision making by social agents," Papers 1202.4918, arXiv.org, revised Oct 2015.

    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:9:y:2021:i:12:p:1387-:d:575215. 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.