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Similarity and dissimilarity measures of basic uncertain information and their applications in group decision-making

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Abstract

This paper introduces some information measures include distance measure, similarity measure, entropy measure, cross-entropy measure and correlation measure in a basic uncertain information (BUI) environment, which are used to compare BUI or to measure the uncertainty, and which can be further utilized to the determination of candidates in group decision-making problems. Some simple rules to generate these measures are provided. The VIKOR method is extended to solve group decision-making problems with BUI, in which the developed information measures are used to derive the weighting vector of attributes. Finally, a case study and some comparative results show the validity of the develop group decision approach.

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Acknowledgements

The authors would like to thank the editors and the anonymous reviewers for their valuable comments and suggestions which have helped immensely in improving the quality of this paper. The work was supported by Natural Science Foundation of Anhui Province (Nos. 2108085MG239, 1808085QG211), the Humanities and Social Science Research Project of Universities in Anhui Province (Nos. SK2020A0049, SK2019A0013), National Natural Science Foundation of China (Nos. 71701001, 71871001, 71901088), the College Excellent Youth Talent Support Program (Nos. gxyq2019236, gxyq2020041), University Natural Science Research Project of Anhui Province (No. KJ2020A0120), and Research Center for Ecology and Economic Development of Anhui Province, 2021 (No. AHST2021002).

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Authors and Affiliations

  1. School of Big Data and Statistics, Anhui University, Hefei, Anhui, 230601, China

    Xuewei Chen, Zhifu Tao, Jian Zhang & Haifeng Luo

  2. School of Mathematics and Statistics, Hefei Normal University, Hefei, Anhui, 230601, China

    Xi Liu

  3. School of Social Sciences, The University of Manchester, Manchester, M139PL, UK

    Xuewei Chen

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  1. Xuewei Chen
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  2. Xi Liu
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  3. Zhifu Tao
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  4. Jian Zhang
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  5. Haifeng Luo
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Correspondence to Xi Liu.

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This manuscript has not been published in whole or in part elsewhere, which has also not currently been considered for publication in another journal. All authors have been personally and actively involved in substantive work leading to the manuscript, and will hold themselves jointly and individually responsible for its content. The authors declare that there are no conflicts of interest.

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Communicated by Anibal Tavares de Azevedo.

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Chen, X., Liu, X., Tao, Z. et al. Similarity and dissimilarity measures of basic uncertain information and their applications in group decision-making. Comp. Appl. Math. 41, 275 (2022). https://doi.org/10.1007/s40314-022-01892-5

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  • DOI: https://doi.org/10.1007/s40314-022-01892-5

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