IDEAS home Printed from https://ideas.repec.org/a/gam/jsusta/v15y2022i1p106-d1010515.html
   My bibliography  Save this article

A Novel Linguistic Interval-Valued Pythagorean Fuzzy Multi-Attribute Group Decision-Making for Sustainable Building Materials Selection

Author

Listed:
  • Yang Zhou

    (School of Economics and Management, Zhejiang University of Science and Technology, Hangzhou 310023, China)

  • Guangmin Yang

    (School of Economics and Management, Zhejiang University of Science and Technology, Hangzhou 310023, China)

Abstract

The linguistic interval-valued Pythagorean fuzzy (LIVPF) sets, which absorb the advantages of linguistic terms set and interval-valued Pythagorean fuzzy sets, can efficiently describe decision makers’ evaluation information in multi-attribute group decision-making (MAGDM) problems. When investigating aggregation operators of linguistic interval-valued Pythagorean fuzzy (LIVPF) information, we have to consider two important issues, viz. the operational rules of LIVPF numbers and aggregation functions. The classical Archimedean t-norm and t-conorm (ATT) are a famous t-norm and t-conorm, which can produce some special cases. Recently, ATT has been widely applied in different fuzzy decision-making information. Hence, in this paper, for the first issue, we propose some novel operational rules of LIVPF numbers based on ATT. The new operational laws are flexible and can generate some useful operations. For the second issue, we choose a powerful function, i.e., the extended power average ( EPA ) operator as the aggregation function. The prominent advantages of EPA are that it not only considers the relationship among input arguments, but also dynamically changes the weights of input arguments by employing a parameter. Hence, our proposed novel aggregation operators for LIVPFNs are flexible and is suitable to handle MAGDM problems in actual life. Afterward, we further present a novel MAGDM method under LIVPF conditions. The main finding of our study is a new MAGDM method, which is more powerful and flexible than existing ones. Finally, we apply the method in a sustainable building materials selection to show its effectiveness. Additionally, comparison analysis is provided to demonstrate the advantages and superiorities of the proposed method.

Suggested Citation

  • Yang Zhou & Guangmin Yang, 2022. "A Novel Linguistic Interval-Valued Pythagorean Fuzzy Multi-Attribute Group Decision-Making for Sustainable Building Materials Selection," Sustainability, MDPI, vol. 15(1), pages 1-29, December.
  • Handle: RePEc:gam:jsusta:v:15:y:2022:i:1:p:106-:d:1010515
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2071-1050/15/1/106/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2071-1050/15/1/106/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ye-Jia Ping & Ran Liu & Ze-Ling Wang & Hu-Chen Liu, 2022. "New approach for quality function deployment with an extended alternative queuing method under linguistic Pythagorean fuzzy environment," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 16(3), pages 349-370.
    2. Li, Yanhong & Kou, Gang & Li, Guangxu & Peng, Yi, 2022. "Consensus reaching process in large-scale group decision making based on bounded confidence and social network," European Journal of Operational Research, Elsevier, vol. 303(2), pages 790-802.
    3. Mingwei Lin & Jiuhan Wei & Zeshui Xu & Riqing Chen, 2018. "Multiattribute Group Decision-Making Based on Linguistic Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Aggregation Operators," Complexity, Hindawi, vol. 2018, pages 1-24, November.
    4. Huimin Zhang, 2014. "Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-11, April.
    5. 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.
    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. 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.
    2. Monica Martinez-Blasco & Vanessa Serrano & Francesc Prior & Jordi Cuadros, 2023. "Analysis of an event study using the Fama–French five-factor model: teaching approaches including spreadsheets and the R programming language," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-34, December.
    3. Nikita Moiseev & Alexey Mikhaylov & Hasan Dinçer & Serhat Yüksel, 2023. "Market capitalization shock effects on open innovation models in e-commerce: golden cut q-rung orthopair fuzzy multicriteria decision-making analysis," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-25, December.
    4. Alexey Mikhaylov & Hasan Dinçer & Serhat Yüksel, 2023. "Analysis of financial development and open innovation oriented fintech potential for emerging economies using an integrated decision-making approach of MF-X-DMA and golden cut bipolar q-ROFSs," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-34, December.
    5. Jiří Močkoř, 2021. "Semiring-Valued Fuzzy Sets and F-Transform," Mathematics, MDPI, vol. 9(23), pages 1-24, December.
    6. Jinmuzi Zhang & Haiyan Xu & Ginger Y. Ke, 2024. "A Novel Consensus and Dissent Framework Under Grey Preference Based on the Graph Model for Conflict Resolution for Two Decision Makers," Group Decision and Negotiation, Springer, vol. 33(4), pages 711-744, August.
    7. Hongjie Deng & Daji Ergu & Fangyao Liu & Bo Ma & Ying Cai, 2022. "Applying an Intelligent Approach to Environmental Sustainability Innovation in Complex Scenes," Sustainability, MDPI, vol. 14(24), pages 1-12, December.
    8. Kamal Kumar & Harish Garg, 2018. "Prioritized Linguistic Interval-Valued Aggregation Operators and Their Applications in Group Decision-Making Problems," Mathematics, MDPI, vol. 6(10), pages 1-26, October.
    9. Wang, Peng & Liu, Peide & Li, Yueyuan & Teng, Fei & Pedrycz, Witold, 2024. "Trust exploration- and leadership incubation- based opinion dynamics model for social network group decision-making: A quantum theory perspective," European Journal of Operational Research, Elsevier, vol. 317(1), pages 156-170.
    10. Koundouri, Phoebe & Papayiannis, Georgios I. & Petracou, Electra V. & Yannacopoulos, Athanasios N., 2023. "Consensus group decision making under model uncertainty with a view towards environmental policy making," MPRA Paper 122006, University Library of Munich, Germany.
    11. Li-Chen Cheng & Wei-Ting Lu & Benjamin Yeo, 2023. "Predicting abnormal trading behavior from internet rumor propagation: a machine learning approach," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-23, December.
    12. Jiří Močkoř & David Hýnar, 2021. "On Unification of Methods in Theories of Fuzzy Sets, Hesitant Fuzzy Set, Fuzzy Soft Sets and Intuitionistic Fuzzy Sets," Mathematics, MDPI, vol. 9(4), pages 1-26, February.
    13. Meng, Fan-Yong & Zhao, Deng-Yu & Gong, Zai-Wu & Chu, Jun-Fei & Pedrycz, Witold & Yuan, Zhe, 2024. "Consensus adjustment for multi-attribute group decision making based on cross-allocation," European Journal of Operational Research, Elsevier, vol. 318(1), pages 200-216.
    14. Hua Shi & Ling-Xiang Mao & Ke Li & Xiang-Hu Wang & Hu-Chen Liu, 2022. "Engineering Characteristics Prioritization in Quality Function Deployment Using an Improved ORESTE Method with Double Hierarchy Hesitant Linguistic Information," Sustainability, MDPI, vol. 14(15), pages 1-19, August.
    15. Dombi, József & Jónás, Tamás, 2024. "Consensus measures based on a fuzzy concept," European Journal of Operational Research, Elsevier, vol. 315(2), pages 642-653.
    16. Wolfgang Kuhle, 2023. "Latency arbitrage and the synchronized placement of orders," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-18, December.
    17. Bisht, Garima & Pal, A.K., 2024. "Three-way decisions based multi-attribute decision-making with utility and loss functions," European Journal of Operational Research, Elsevier, vol. 316(1), pages 268-281.
    18. Mingwei Lin & Jiuhan Wei & Zeshui Xu & Riqing Chen, 2018. "Multiattribute Group Decision-Making Based on Linguistic Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Aggregation Operators," Complexity, Hindawi, vol. 2018, pages 1-24, November.
    19. Tiantian Gai & Mingshuo Cao & Francisco Chiclana & Zhen Zhang & Yucheng Dong & Enrique Herrera-Viedma & Jian Wu, 2023. "Consensus-trust Driven Bidirectional Feedback Mechanism for Improving Consensus in Social Network Large-group Decision Making," Group Decision and Negotiation, Springer, vol. 32(1), pages 45-74, February.
    20. Yaya Liu & Rosa M. Rodríguez & Luis Martínez, 2022. "Interval Type-2 Fuzzy Envelope of Proportional Hesitant Fuzzy Linguistic Term Set: Application to Large-Scale Group Decision Making," Mathematics, MDPI, vol. 10(14), pages 1-27, July.

    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:jsusta:v:15:y:2022:i:1:p:106-:d:1010515. 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.