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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
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    References listed on IDEAS

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    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.
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