Optimization, System Analysis, and Operations Research

Mean values of fuzzy numbers and their extremal properties

V. L. Khatskevich

N.E. Zhukovskii and Yu.A. Gagarin Air Force Academy, Voronezh, 394064 Russia

Abstract: The extremal properties of the mean characteristics of systems of fuzzy numbers with respect to some metrics on the set of fuzzy numbers are established. The extremal properties of mean values for systems of discrete fuzzy sets are considered.

Keywords: fuzzy number, mean value, extremal property.

Presented by the member of Editorial Board: D. E. Pal'chunov

Received: 06.02.2021
Revised: 08.12.2021
Accepted: 30.12.2021

DOI: 10.31857/S0005231022040092

 English version: Automation and Remote Control, 2022, 83:4, 626–634