Syncretic argumentation for multi-agents by lattice homomorphism, fusion and sum

Authors:
Yoshifumi Maruyama;Taichi Hasegawa;Takeshi Hagiwara;Hajime Sawamura
Affiliations:
Graduate School of Science and Technology, Niigata University, Niigata, Japan;Graduate School of Science and Technology, Niigata University, Niigata, Japan;Institute of Science and Technology, Niigata University, Niigata, Japan;Institute of Science and Technology, Niigata University, Niigata, Japan
Venue:
ArgMAS'11 Proceedings of the 8th international conference on Argumentation in Multi-Agent Systems
Year:
2011

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Abstract

In this paper, we describe 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 first devise a new way of fusing two lattices through the lattice product, and then give a syncretic argumentation framework in which argumentation is done under the fused lattice. We further touch upon the third approach to the syncretic argumentation, by the lattice sum.