Computational intelligence

Fuzzy medians as aggregators of fuzzy information

V. L. Khatskevich

Air Force Academy named after N.E. Zhukovsky and Y.U. Gagarin, Voronezh, Russia

Abstract: On the basis of fuzzy medians of fuzzy number systems, a class of averaging operators is introduced and studied for the implementation of the problem of aggregation of fuzzy information. The established properties of symmetry, idempotence, continuity, 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, the extreme property, are established. This determines the adequacy of the use of fuzzy medians in the tasks of aggregating fuzzy information.

Keywords: fuzzy medians, averaging operators, aggregation of information.

DOI: 10.14357/20718594220107

 English version: , 2023, 50:6, 557–562

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