The optimistic hyperlink and the unfavorable link carry the other effect on the dynamics occurring in social networks. In the paper, we extend the edge q-voter model to a fully connected signed community and analyze the collective phenomenon of opinion formation by employing the backward Fokker–Planck formalism. We find that the mixture of optimistic and negative relationships, just because the noise parameter , performs an necessary position within the part transition of opinion formation. Randomness and anti-conformity relationships hamper the emergence of the majority states in opinion formation, while the threshold worth q0 performs a significant role in the robustness of a system under the noise effect and the signs competitors. Numerical simulation outcomes confirm our theoretical analysis and reveal the effect of signed relationships on the range in society.
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