IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i10p1726-d818352.html
   My bibliography  Save this article

Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support Systems

Author

Listed:
  • Tahir Mahmood

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

  • Ubaid ur Rehman

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

  • Zeeshan Ali

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

  • Muhammad Aslam

    (Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia)

  • Ronnason Chinram

    (Algebra and Applications Research Unit, Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand)

Abstract

The idea of bipolar complex fuzzy (BCF) sets, as a genuine modification of both bipolar fuzzy sets and complex fuzzy sets, gives a massive valuable framework for representing and evaluating ambiguous information. In intelligence decision making based on BCF sets, it is a critical dilemma to compare or rank positive and negative membership grades. In this framework, we deliberated various techniques for aggregating the collection of information into a singleton set, called BCF weighted arithmetic averaging (BCFWAA), BCF ordered weighted arithmetic averaging (BCFOWAA), BCF weighted geometric averaging (BCFWGA), and BCF ordered weighted geometric averaging (BCFOWGA) operators for BCF numbers (BCFNs). To illustrate the feasibility and original worth of the diagnosed approaches, we demonstrated various properties of the diagnosed operators, in addition to their capability that the evaluated value of a set of BCF numbers is a unique BCF number. Further, multiattribute decision making (“MADM”) refers to a technique employed to compute a brief and dominant assessment of opinions with multiattributes. The main influence of this theory is implementing the diagnosed theory in the field of the MADM tool using BCF settings. Finally, a benchmark dilemma is used for comparison with various prevailing techniques to justify the cogency and dominancy of the evaluated operators.

Suggested Citation

  • Tahir Mahmood & Ubaid ur Rehman & Zeeshan Ali & Muhammad Aslam & Ronnason Chinram, 2022. "Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support Systems," Mathematics, MDPI, vol. 10(10), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:10:p:1726-:d:818352
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/10/1726/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/10/1726/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Songsong Dai & Lvqing Bi & Bo Hu, 2019. "Distance Measures between the Interval-Valued Complex Fuzzy Sets," Mathematics, MDPI, vol. 7(6), pages 1-12, June.
    2. Haifeng Song & Lvqing Bi & Bo Hu & Yingying Xu & Songsong Dai, 2021. "New Distance Measures between the Interval-Valued Complex Fuzzy Sets with Applications to Decision-Making," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-9, March.
    3. Tahir Mahmood & Ali Jaballah, 2020. "A Novel Approach towards Bipolar Soft Sets and Their Applications," Journal of Mathematics, Hindawi, vol. 2020, pages 1-11, October.
    4. Kifayat Ullah, 2021. "Picture Fuzzy Maclaurin Symmetric Mean Operators and Their Applications in Solving Multiattribute Decision-Making Problems," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-13, October.
    5. Lvqing Bi & Zhiqiang Zeng & Bo Hu & Songsong Dai, 2019. "Two Classes of Entropy Measures for Complex Fuzzy Sets," Mathematics, MDPI, vol. 7(1), pages 1-10, January.
    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. Zeeshan Ali & Miin-Shen Yang, 2024. "Improving Risk Assessment Model for Cyber Security Using Robust Aggregation Operators for Bipolar Complex Fuzzy Soft Inference Systems," Mathematics, MDPI, vol. 12(4), pages 1-20, February.
    2. Zhiping Xu & Ubaid ur Rehman & Tahir Mahmood & Jabbar Ahmmad & Yun Jin, 2023. "Assessment of Structural Systems to Design Earthquake Resistance Buildings by Employing Multi-Attribute Decision-Making Method Based on the Bipolar Complex Fuzzy Dombi Prioritized Aggregation Operator," Mathematics, MDPI, vol. 11(10), pages 1-22, May.

    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. Mujab Waqar & Kifayat Ullah & Dragan Pamucar & Goran Jovanov & Ðordje Vranješ, 2022. "An Approach for the Analysis of Energy Resource Selection Based on Attributes by Using Dombi T-Norm Based Aggregation Operators," Energies, MDPI, vol. 15(11), pages 1-23, May.
    2. Majed Albaity & Tahir Mahmood, 2022. "Medical Diagnosis and Pattern Recognition Based on Generalized Dice Similarity Measures for Managing Intuitionistic Hesitant Fuzzy Information," Mathematics, MDPI, vol. 10(15), pages 1-15, August.
    3. Areeba Naseem & Kifayat Ullah & Maria Akram & Darko Božanić & Goran Ćirović, 2022. "Assessment of Smart Grid Systems for Electricity Using Power Maclaurin Symmetric Mean Operators Based on T-Spherical Fuzzy Information," Energies, MDPI, vol. 15(21), pages 1-25, October.
    4. Taiwo Olubunmi Sangodapo & Babatunde Oluwaseun Onasanya & Sarka Mayerova-Hoskova, 2021. "Decision-Making with Fuzzy Soft Matrix Using a Revised Method: A Case of Medical Diagnosis of Diseases," Mathematics, MDPI, vol. 9(18), pages 1-12, September.
    5. Sagvan Y. Musa & Baravan A. Asaad, 2021. "Bipolar Hypersoft Sets," Mathematics, MDPI, vol. 9(15), pages 1-15, August.
    6. Tahir Mahmood & Ubaid Ur Rehman & Abdul Jaleel & Jabbar Ahmmad & Ronnason Chinram, 2022. "Bipolar Complex Fuzzy Soft Sets and Their Applications in Decision-Making," Mathematics, MDPI, vol. 10(7), pages 1-19, March.
    7. Zeeshan Ali & Tahir Mahmood & Gustavo Santos-García, 2021. "Heronian Mean Operators Based on Novel Complex Linear Diophantine Uncertain Linguistic Variables and Their Applications in Multi-Attribute Decision Making," Mathematics, MDPI, vol. 9(21), pages 1-37, October.
    8. 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.
    9. Tran Manh Tuan & Luong Thi Hong Lan & Shuo-Yan Chou & Tran Thi Ngan & Le Hoang Son & Nguyen Long Giang & Mumtaz Ali, 2020. "M-CFIS-R: Mamdani Complex Fuzzy Inference System with Rule Reduction Using Complex Fuzzy Measures in Granular Computing," Mathematics, MDPI, vol. 8(5), pages 1-24, May.
    10. Majed Albaity & Tahir Mahmood & Zeeshan Ali, 2023. "Impact of Machine Learning and Artificial Intelligence in Business Based on Intuitionistic Fuzzy Soft WASPAS Method," Mathematics, MDPI, vol. 11(6), pages 1-21, March.
    11. Shuker Khalil & Ahmed Hassan & Haya Alaskar & Wasiq Khan & Abir Hussain, 2021. "Fuzzy Logical Algebra and Study of the Effectiveness of Medications for COVID-19," Mathematics, MDPI, vol. 9(22), pages 1-12, November.
    12. Hari Darshan Arora & Anjali Naithani, 2022. "Logarithmic similarity measures on Pythagorean fuzzy sets in admission process," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 32(1), pages 5-24.
    13. Manivannan Balamurugan & Thukkaraman Ramesh & Anas Al-Masarwah & Kholood Alsager, 2024. "A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras," Mathematics, MDPI, vol. 12(10), pages 1-18, May.
    14. Zeeshan Ali & Tahir Mahmood & Muhammad Aslam & Ronnason Chinram, 2021. "Another View of Complex Intuitionistic Fuzzy Soft Sets Based on Prioritized Aggregation Operators and Their Applications to Multiattribute Decision Making," Mathematics, MDPI, vol. 9(16), pages 1-29, August.
    15. Wei Liu & Youfa Sun & Serhat Yüksel & Hasan Dinçer, 2021. "Consensus-based multidimensional due diligence of fintech-enhanced green energy investment projects," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 7(1), pages 1-31, December.

    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:10:y:2022:i:10:p:1726-:d:818352. 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.