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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Vychislitelnaya Matematika i Informatika" // Archive

Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2016 Volume 5, Issue 1, Pages 63–68 (Mi vyurv102)

Discrete Mathematics and Mathematical Cybernetics

The analysis of the mechanism of collective behaviour based on fuzzy logic

V. I. Ukhobotov, E. S. Mikhailova

Chelyabinsk State University

Abstract: In this paper an elementary mechanism of collective behaviour has been examined. This collective is considered as number of persons. Each member of the group makes a certain decisionbased on his own relation and the relations of other members. For instance, whether to engage incertain activity, whether to join to public organisation, whether to participate in the arrangements,to vote affirmatively etc. These cases can be united into one: the person should decide whetherto go into certain state. Personal opinion of each member of the group and opinions of othermembers according to the problem can be inaccurate or fuzzy. In this paper this fuzziness isconsidered according the theory of fuzzy sets and modeling. The behaviour of several types ofcollectives is researched.

Keywords: fuzzy set, collective behaviour, leader.

UDC: 519.816

Received: 07.07.2015

DOI: 10.14529/cmse160106



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