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A TOPSIS Method Based on Entropy Measure for q-Rung Orthopair Fuzzy Sets and Its Application in MADM

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Soft Computing for Problem Solving

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 547))

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Abstract

In this article, we develop a novel TOPSIS approach for solving the multi-attribute decision-making (MADM) problems under the q-rung orthopair fuzzy numbers (q-RONs) environment. For this, we have proposed a new entropy measure (EM) for q-rung orthopair fuzzy set (q-ROFS) to measure the fuzziness of the q-ROFS. Numerous features of the proposed EM of q-ROFS are also illustrated. Afterwards, by utilizing the proposed EM, a TOPSIS approach has been developed for tackling MADM issues under the q-ROFNs context. To exemplify the proposed TOPSIS technique, a real-life MADM example has been studied. Comparative studies are also developed to illustrate the TOPSIS approach’s efficiency.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Humanities, MM Engineering College, Maharishi Markandeshwar (Deemed to be University), Mullana, Ambala, Haryana, India

    Rishu Arora

  2. Department of Mathematics, Amity School of Applied Sciences, Amity University Haryana, Gurugram, 122413, Haryana, India

    Chirag Dhankhar, A. K. Yadav & Kamal Kumar

Authors
  1. Rishu Arora
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  2. Chirag Dhankhar
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  3. A. K. Yadav
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  4. Kamal Kumar
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Corresponding author

Correspondence to Kamal Kumar .

Editor information

Editors and Affiliations

  1. School of Mathematical and Statistical Sciences, Indian Institute of Technology Mandi, Mandi, Himachal Pradesh, India

    Manoj Thakur

  2. School of Computing and Electrical Engineering, Indian Institute of Technology Mandi, Mandi, Himachal Pradesh, India

    Samar Agnihotri

  3. School of Computing and Electrical Engineering, Indian Institute of Technology Mandi, Mandi, Himachal Pradesh, India

    Bharat Singh Rajpurohit

  4. Department of Applied Science and Engineering, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Millie Pant

  5. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Kusum Deep

  6. School of Mathematics, Computer Science and Engineering, Liverpool Hope University, Liverpool, UK

    Atulya K. Nagar

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© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Arora, R., Dhankhar, C., Yadav, A.K., Kumar, K. (2023). A TOPSIS Method Based on Entropy Measure for q-Rung Orthopair Fuzzy Sets and Its Application in MADM. In: Thakur, M., Agnihotri, S., Rajpurohit, B.S., Pant, M., Deep, K., Nagar, A.K. (eds) Soft Computing for Problem Solving. Lecture Notes in Networks and Systems, vol 547. Springer, Singapore. https://doi.org/10.1007/978-981-19-6525-8_54

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