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Expressing and Ranking of Uncertain Digital Information by Using Multi-Knots Piecewise Linear Fuzzy Numbers

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Abstract

In this paper, the expression and the ranking of uncertain or imprecise digital information are studied by using multi-knots piecewise linear fuzzy numbers. A method to construct multi-knots piecewise linear fuzzy numbers which can be used to express uncertain digital information is proposed, and the calculation formulas of the centroid and dispersion degree of multi-knots piecewise linear fuzzy number are obtained. Then by using the results obtained by us, a method of ranking of some objects (to be dealt with) which are characterized by uncertain or imprecise real number information is established. At last, a specific application example in decision making is given to show the application and the feasibility of the established method of ranking.

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Acknowledgements

This work is supported partially by the Nature Science Foundation of China (Nos. 61771174 and U1934221).

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Authors and Affiliations

  1. Institute of Operations Research and Cybernetics, Hangzhou Dianzi University, Hangzhou, 310018, China

    Guixiang Wang & Miaomiao Wang

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  1. Guixiang Wang
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  2. Miaomiao Wang
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Correspondence to Guixiang Wang.

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Wang, G., Wang, M. Expressing and Ranking of Uncertain Digital Information by Using Multi-Knots Piecewise Linear Fuzzy Numbers. Int. J. Fuzzy Syst. 24, 3067–3081 (2022). https://doi.org/10.1007/s40815-022-01305-z

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  • DOI: https://doi.org/10.1007/s40815-022-01305-z

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