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Artificial Intelligence and Decision Making, 2022, Issue 1, Pages 71–77
DOI: https://doi.org/10.14357/20718594220107 (Mi iipr59) 		 
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
Full-text PDF (787 kB)
DOI: https://doi.org/10.14357/20718594220107
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.
English version:
Scientific and Technical Information Processing, 2023, Volume 50, Issue 6, Pages 557–562
DOI: https://doi.org/10.3103/S0147688223060060
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. L. Khatskevich, “Fuzzy medians as aggregators of fuzzy information”, Artificial Intelligence and Decision Making, 2022, no. 1, 71–77; Scientific and Technical Information Processing, 50:6 (2023), 557–562
Citation in format AMSBIB
\Bibitem{Kha22}
\by V.~L.~Khatskevich
\paper Fuzzy medians as aggregators of fuzzy information
\jour Artificial Intelligence and Decision Making
\yr 2022
\issue 1
\pages 71--77
\mathnet{http://mi.mathnet.ru/iipr59}
\crossref{https://doi.org/10.14357/20718594220107}
\elib{https://elibrary.ru/item.asp?id=48140575}
\transl
\jour Scientific and Technical Information Processing
\yr 2023
\vol 50
\issue 6
\pages 557--562
\crossref{https://doi.org/10.3103/S0147688223060060}
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