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Fuzzy Medians as Aggregators of Fuzzy Information

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Abstract—

On the basis of the fuzzy medians of fuzzy number systems, a class of averaging operators is introduced and studied for the implementation of the problem of the aggregation of fuzzy information. The established properties of symmetry, idempotence, continuity, and monotonicity of averaging operators are a modification of the characteristic properties of scalar aggregation functions for the fuzzy case. Additionally, the properties of additivity and homogeneity, as an extreme property, are established. This determines the adequacy of the use of fuzzy medians in the tasks of aggregating fuzzy information.

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  1. Zhukovsky and Gagarin Air Force Academy, Voronezh, Russia

    V. L. Khatskevich

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  1. V. L. Khatskevich
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Khatskevich, V.L. Fuzzy Medians as Aggregators of Fuzzy Information. Sci. Tech. Inf. Proc. 50, 557–562 (2023). https://doi.org/10.3103/S0147688223060060

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