IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v17y2024i2p431-d1319961.html
   My bibliography  Save this article

A Novel Trigonometric Entropy Measure Based on the Complex Proportional Assessment Technique for Pythagorean Fuzzy Sets

Author

Listed:
  • Sahil Kashyap

    (Yogananda School of AI, Computer and Data Sciences, Shoolini University, Solan 173229, HP, India)

  • Bartosz Paradowski

    (National Institute of Telecommunications, ul. Szachowa 1, 04-894 Warsaw, Poland)

  • Neeraj Gandotra

    (Yogananda School of AI, Computer and Data Sciences, Shoolini University, Solan 173229, HP, India)

  • Namita Saini

    (Yogananda School of AI, Computer and Data Sciences, Shoolini University, Solan 173229, HP, India)

  • Wojciech Sałabun

    (National Institute of Telecommunications, ul. Szachowa 1, 04-894 Warsaw, Poland
    Research Team on Intelligent Decision Support Systems, Department of Artificial Intelligence and Applied Mathematics, Faculty of Computer Science and Information Technology, West Pomeranian University of Technology in Szczecin, ul. Żołnierska 49, 71-210 Szczecin, Poland)

Abstract

The extension of intuitionistic fuzzy sets (IFS) to Pythagorean fuzzy sets (PFS) is a significant advancement, addressing the inherent limitations of IFS. This study introduces a novel entropy measure specifically designed for Pythagorean fuzzy sets, establishing its axiomatic definition and presenting key properties. Decision making guided by entropy is advantageous, as it effectively mitigates ambiguity with increasing entropy values. Furthermore, a numerical example is provided to facilitate a comparative assessment of our newly introduced entropy measure in contrast to existing PFS entropy measures. The validation of our findings is achieved through the application of the COPRAS method, which determines decision outcomes based on a multitude of influencing factors. Notably, the determination of weights in this method is underpinned by the utilization of our innovative entropy measure.

Suggested Citation

  • Sahil Kashyap & Bartosz Paradowski & Neeraj Gandotra & Namita Saini & Wojciech Sałabun, 2024. "A Novel Trigonometric Entropy Measure Based on the Complex Proportional Assessment Technique for Pythagorean Fuzzy Sets," Energies, MDPI, vol. 17(2), pages 1-18, January.
    • Handle: RePEc:gam:jeners:v:17:y:2024:i:2:p:431-:d:1319961
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/17/2/431/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/17/2/431/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Liang, Gin-Shuh & Wang, Mao-Jiun J., 1994. "Personnel selection using fuzzy MCDM algorithm," European Journal of Operational Research, Elsevier, vol. 78(1), pages 22-33, October.
    2. Deveci, Muhammet & Cali, Umit & Kucuksari, Sadik & Erdogan, Nuh, 2020. "Interval type-2 fuzzy sets based multi-criteria decision-making model for offshore wind farm development in Ireland," Energy, Elsevier, vol. 198(C).
    3. Deveci, Muhammet & Demirel, Nihan Çetin & Ahmetoğlu, Emine, 2017. "Airline new route selection based on interval type-2 fuzzy MCDM: A case study of new route between Turkey- North American region destinations," Journal of Air Transport Management, Elsevier, vol. 59(C), pages 83-99.
    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. Aleksandar Aleksić & Danijela Tadić, 2023. "Industrial and Management Applications of Type-2 Multi-Attribute Decision-Making Techniques Extended with Type-2 Fuzzy Sets from 2013 to 2022," Mathematics, MDPI, vol. 11(10), pages 1-24, May.
    2. Men, Jinkun & Zhao, Chunmeng, 2024. "A Type-2 fuzzy hybrid preference optimization methodology for electric vehicle charging station location," Energy, Elsevier, vol. 293(C).
    3. Liu, Xinglei & Liu, Jun & Ren, Kezheng & Liu, Xiaoming & Liu, Jiacheng, 2022. "An integrated fuzzy multi-energy transaction evaluation approach for energy internet markets considering judgement credibility and variable rough precision," Energy, Elsevier, vol. 261(PB).
    4. Mahmut BAKIR & Şahap AKAN & Kasım KIRACI & Darjan KARABASEVIC & Dragisa STANUJKIC & Gabrijela POPOVIC, 2020. "Multiple-Criteria Approach of the Operational Performance Evaluation in the Airline Industry: Evidence from the Emerging Markets," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(2), pages 149-172, July.
    5. Yuzgec, Ugur & Dokur, Emrah & Balci, Mehmet, 2024. "A novel hybrid model based on Empirical Mode Decomposition and Echo State Network for wind power forecasting," Energy, Elsevier, vol. 300(C).
    6. Bartłomiej Kizielewicz & Jarosław Wątróbski & Wojciech Sałabun, 2020. "Identification of Relevant Criteria Set in the MCDA Process—Wind Farm Location Case Study," Energies, MDPI, vol. 13(24), pages 1-40, December.
    7. Dounia El Bourakadi & Hiba Ramadan & Ali Yahyaouy & Jaouad Boumhidi, 2023. "A robust energy management approach in two-steps ahead using deep learning BiLSTM prediction model and type-2 fuzzy decision-making controller," Fuzzy Optimization and Decision Making, Springer, vol. 22(4), pages 645-667, December.
    8. Lu, Zhiming & Gao, Yan & Xu, Chuanbo, 2021. "Evaluation of energy management system for regional integrated energy system under interval type-2 hesitant fuzzy environment," Energy, Elsevier, vol. 222(C).
    9. Dokur, Emrah & Erdogan, Nuh & Salari, Mahdi Ebrahimi & Karakuzu, Cihan & Murphy, Jimmy, 2022. "Offshore wind speed short-term forecasting based on a hybrid method: Swarm decomposition and meta-extreme learning machine," Energy, Elsevier, vol. 248(C).
    10. Deveci, Muhammet & Özcan, Ender & John, Robert & Öner, Sultan Ceren, 2018. "Interval type-2 hesitant fuzzy set method for improving the service quality of domestic airlines in Turkey," Journal of Air Transport Management, Elsevier, vol. 69(C), pages 83-98.
    11. Gang Kou & Özlem Olgu Akdeniz & Hasan Dinçer & Serhat Yüksel, 2021. "Fintech investments in European banks: a hybrid IT2 fuzzy multidimensional decision-making approach," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 7(1), pages 1-28, December.
    12. Ziemba, Paweł, 2022. "Uncertain Multi-Criteria analysis of offshore wind farms projects investments – Case study of the Polish Economic Zone of the Baltic Sea," Applied Energy, Elsevier, vol. 309(C).
    13. Zhang, Hua & Li, Zongkun & Ge, Wei & Zhang, Yadong & Wang, Te & Sun, Heqiang & Jiao, Yutie, 2024. "An extended Bayesian network model for calculating dam failure probability based on fuzzy sets and dynamic evidential reasoning," Energy, Elsevier, vol. 301(C).
    14. Pablo A. Pinto-DelaCadena & Vicente Liern & Andrea Vinueza-Cabezas, 2024. "A Comparative Analysis of Multi-Criteria Decision Methods for Personnel Selection: A Practical Approach," Mathematics, MDPI, vol. 12(2), pages 1-18, January.
    15. Chang, Yu-Chun & Lee, Wei-Hao & Wu, Chi-Hung, 2019. "Airline new route selection using compromise programming - The case of Taiwan-Europe," Journal of Air Transport Management, Elsevier, vol. 76(C), pages 10-20.
    16. Hosseini Dehshiri, Seyyed Shahabaddin & Firoozabadi, Bahar, 2024. "Comprehensive framework on wind energy: A sustainable site selection under uncertainty and reliability, layout optimization and 7E analysis," Applied Energy, Elsevier, vol. 373(C).
    17. Konstantinos Kokkinos & Vayos Karayannis, 2020. "Supportiveness of Low-Carbon Energy Technology Policy Using Fuzzy Multicriteria Decision-Making Methodologies," Mathematics, MDPI, vol. 8(7), pages 1-26, July.
    18. Liu, Jicheng & Lu, Yunyuan, 2023. "A task matching model of photovoltaic storage system under the energy blockchain environment - based on GA-CLOUD-GS algorithm," Energy, Elsevier, vol. 283(C).
    19. Kiracı, Kasım & Akan, Ercan, 2020. "Aircraft selection by applying AHP and TOPSIS in interval type-2 fuzzy sets," Journal of Air Transport Management, Elsevier, vol. 89(C).
    20. Zhao, Chengxuan & Yang, Xiao & Yu, Jie & Yang, Minghan & Wang, Jianye & Chen, Shuai, 2023. "Interval type-2 fuzzy logic control for a space nuclear reactor core power system," Energy, Elsevier, vol. 280(C).

    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:jeners:v:17:y:2024:i:2:p:431-:d:1319961. 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.