Abstract
In this paper, we present a formal model of opinion diffusion among agents which influence each other. Opinions are modelled as propositional formulas or equivalently, as sets of logical interpretations, which allows us to express some kind of uncertainty. Any agent changes its opinion by merging the opinions of its influencers, from the most influential one to the least one. Then we generalize this model by taking topics of opinion into account.
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Notes
- 1.
\(\forall w \forall w'~d(w,w')=d(w',w)\) and \(d(w,w')=0 ~\Longrightarrow ~ w=w'\).
- 2.
By convention, a propositional letter is positive in an interpretation if it is satisfied, negative if it is not satisfied.
- 3.
Proofs are omitted due to paper length limitation.
- 4.
A literal is a propositional letter or the negation of a propositional letter.
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Acknowledgements
This work was supported by ONERA under grant number 25348.01F (project ROSARIO).
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Cholvy, L. (2016). Diffusion of Opinion and Influence. In: Schockaert, S., Senellart, P. (eds) Scalable Uncertainty Management. SUM 2016. Lecture Notes in Computer Science(), vol 9858. Springer, Cham. https://doi.org/10.1007/978-3-319-45856-4_8
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DOI: https://doi.org/10.1007/978-3-319-45856-4_8
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