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On generalized knowledge measure and generalized accuracy measure with applications to MADM and pattern recognition

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Abstract

In this communication, we propose a generalized fuzzy knowledge measure and prove its efficiency by comparing it with some existing entropies. We also propose a generalized fuzzy accuracy measure and show some of its properties. This accuracy measure may serve as a compatibility measure between two fuzzy sets and helpful in some specific situations. We introduce a generalized fuzzy knowledge and accuracy measure-based TOPSIS for multiple-attribute decision-making problems and presents its comparison with MOORA method, VIKOR method, and a compromise-type variable weight decision-making method. The application of the proposed TOPSIS approach in multiple-attribute decision-making (MADM) is demonstrated using a numerical example. We also investigate the application and efficiency of the generalized fuzzy accuracy in pattern recognition problems.

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Acknowledgements

The authors would like to thank the editor and anonymous referees for their helpful and constructive suggestions to bring this paper in the present form.

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  1. School of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir, 182320, India

    Surender Singh, Sonam Sharma & Abdul Haseeb Ganie

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  1. Surender Singh
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Correspondence to Surender Singh.

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Singh, S., Sharma, S. & Ganie, A.H. On generalized knowledge measure and generalized accuracy measure with applications to MADM and pattern recognition. Comp. Appl. Math. 39, 231 (2020). https://doi.org/10.1007/s40314-020-01243-2

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