Informatics and Applications
2022, Volume 16, Issue 4, pp 51-56
FUZZY AVERAGING OPERATORS IN THE PROBLEM OF AGGREGATING FUZZY INFORMATION
Abstract
The problem of aggregating fuzzy information by constructing fuzzy averaging operators is considered.
Weighted fuzzy averages of systems of fuzzy numbers are studied and a class of nonlinear fuzzy averages of systems of
fuzzy numbers is introduced which is a modification to fuzzy numbers of the general class of dissipative numerical
averages. The properties of the corresponding averaging operators which are "fuzzy" analogues of the characteristic
properties of scalar aggregating functions, are established. This provides a justification for the use of the introduced
fuzzy averaging operators in the problem of aggregation of fuzzy information. At the same time, the result of
aggregation of fuzzy information given by a set of fuzzy numbers is understood as a fuzzy number that reflects the
essential features of this set.
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[+] About this article
Title
FUZZY AVERAGING OPERATORS IN THE PROBLEM OF AGGREGATING FUZZY INFORMATION
Journal
Informatics and Applications
2022, Volume 16, Issue 4, pp 51-56
Cover Date
2022-12-30
DOI
10.14357/19922264220408
Print ISSN
1992-2264
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
averaging fuzzy operators; aggregation of fuzzy information
Authors
V. L. Khatskevich 
Author Affiliations
N. E. Zhukovsky and Y.A. Gagarin Air Force Academy, 54a Old Bolsheviks Str., 394064 Voronezh, Russian
Federation
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