Abstract
This paper presents a merging approach to solve the logical conflicts in cross-cultural communication. We define each agent’s logic system as a tuple of the language and a binary relation over the language, which can well reflect different inference patterns in different cultures. Then based on the distance measure, merging different logic systems of this kind is a two-step process: (i) all the logic systems are expanded to be based on the same language; and (ii) the distance-based method is used to select a logic system, which is the nearest to the expanded logic systems. In this work, we define a kind of the Hamming distance to measure the distance between any two logic systems. Then based on the distance measure, we define our merging operator and we prove that the operator satisfies the properties of agreement, strong unanimity, groundedness and anonymity in social choice theory.
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References
Konieczny, S., Pino-Pérez, R.: On the logic of merging. In: Proceedings of the Sixth International Conference on Principles of Knowledge Representation and Reasoning, pp. 488–498 (1998)
Konieczny, S., Pérez, R.P.: Merging information under constraints: A logical framework. Journal of Logic and Computation 12(5), 773–808 (2002)
Konieczny, S., Pérez, R.P.: Logic based merging. Journal of Philosophical Logic 40(2), 239–270 (2011)
Tran, T.H., Nguyen, N.T., Vo, Q.B.: Axiomatic characterization of belief merging by negotiation. Multimedia Tools and Applications 65(1), 133–159 (2013)
Tran, T.H., Vo, Q.B.: An axiomatic model for merging stratified belief bases by negotiation. In: Nguyen, N.-T., Hoang, K., Jędrzejowicz, P. (eds.) ICCCI 2012, Part I. LNCS, vol. 7653, pp. 174–184. Springer, Heidelberg (2012)
Tran, T.H., Vo, Q.B., Kowalczyk, R.: Merging belief bases by negotiation. In: König, A., Dengel, A., Hinkelmann, K., Kise, K., Howlett, R.J., Jain, L.C. (eds.) KES 2011, Part I. LNCS, vol. 6881, pp. 200–209. Springer, Heidelberg (2011)
Ju, S.: The cultural relativity of logic: From the viewpoint of ethnography. Social Sciences in China 31(4), 73–89 (2010)
Luo, X., Jennings, N.R.: A spectrum of compromise aggregation operators for multi-attribute decision making. Artificial Intelligence 171(2), 161–184 (2007)
List, C.: The theory of judgment aggregation: An introductory review. Synthese 187(1), 179–207 (2012)
Wen, X., Liu, H.: Logic aggregation. In: Grossi, D., Roy, O., Huang, H. (eds.) LORI 2013. LNCS, vol. 8196, pp. 282–295. Springer, Heidelberg (2013)
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Jing, X., Ju, S., Luo, X. (2014). A Method for Merging Cultural Logic Systems. In: Buchmann, R., Kifor, C.V., Yu, J. (eds) Knowledge Science, Engineering and Management. KSEM 2014. Lecture Notes in Computer Science(), vol 8793. Springer, Cham. https://doi.org/10.1007/978-3-319-12096-6_3
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DOI: https://doi.org/10.1007/978-3-319-12096-6_3
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-12095-9
Online ISBN: 978-3-319-12096-6
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