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Combination of Hamming Distance and Entropy Measure of Picture Fuzzy Sets: Case Study of COVID-19 Medicine Selection

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Evolution in Computational Intelligence (FICTA 2022)

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 326))

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Abstract

The picture fuzzy set (PFS) is a general form of the fuzzy and intuitionistic fuzzy set for solving real-world problems. Entropy and distance measures play significant measures in solving problems involving fuzzy environments. In multi-criteria decision-making (MCDM) problems, entropy is used to determine the weights of each criterion. Distance measures are used to rank alternatives using fuzzy picture sets. In this paper, we consider relationship between Hamming distance and entropy measures on picture fuzzy sets (PFS) and apply them to solving MCDM problems. Firstly, some distance of picture fuzzy sets are constructed by using the axioms. Secondly, a method to build the entropy measure of the picture fuzzy sets is defined as new Hamming distance measure. Finally, the distance measures apply to solve the MCDM problems. To illustrate the Hamming distance measure, this method is used to construct an entropy based on distance measures of PFS for selection of COVID-19 medicine.

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Acknowledgements

This work was supported by the University of Economics Ho Chi Minh City (UEH), Vietnam under project CS-2021-51.

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Authors and Affiliations

  1. International School, Vietnam National University, Hanoi and Vietnam National University of Agriculture, Hanoi, Vietnam

    Xuan Thao Nguyen

  2. University of Economics Ho Chi Minh City (UEH), Ho Chi Minh City, Vietnam

    Quoc Hung Nguyen & Duy Dong Le

  3. School of Information Technology and Communication, Hanoi University of Science and Technology, Hanoi, Vietnam

    Hai Van Pham

Authors
  1. Xuan Thao Nguyen
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  2. Quoc Hung Nguyen
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  3. Duy Dong Le
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  4. Hai Van Pham
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Corresponding author

Correspondence to Hai Van Pham .

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Editors and Affiliations

  1. Department of Electronics Engineering, Faculty of Engineering and Technology, Veer Bahadur Singh Purvanchal University, Jaunpur, Uttar Pradesh, India

    Vikrant Bhateja

  2. School of Science and Technology, Middlesex University London, London, UK

    Xin-She Yang

  3. Western Norway University of Applied Sciences, Bergen, Norway

    Jerry Chun-Wei Lin

  4. Department of Computer Science and Engineering, National Institute of Technology Agartala, Agartala, West Tripura, India

    Ranjita Das

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Nguyen, X.T., Nguyen, Q.H., Le, D.D., Van Pham, H. (2023). Combination of Hamming Distance and Entropy Measure of Picture Fuzzy Sets: Case Study of COVID-19 Medicine Selection. In: Bhateja, V., Yang, XS., Lin, J.CW., Das, R. (eds) Evolution in Computational Intelligence. FICTA 2022. Smart Innovation, Systems and Technologies, vol 326. Springer, Singapore. https://doi.org/10.1007/978-981-19-7513-4_52

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