Syncretic argumentation by lattice homomorphism and fusion

In this paper, we attempt to formalize a novel approach to the syncretic argumentation, which allows agents with different epistemology to engage in argumentation, taking into account the Golden Rule in the ethics of reciprocity and Confucius’ Golden Rule. We address this new argumentation framework in two ways. One is by introducing the lattice homomorphism on truth-values (epistemic states) of propositions, and the new definitions of arguments justified under syncretized knowledge base. For the other, we devise the lattice fusion, which is induced through the lattice product.