Abstract
This chapter applies granular computing to Aristotle’s categorical syllogism. Such kind of reasoning is called granular reasoning. For the purpose, two operations called zooming in and out are introduced to reconstruct granules of possible worlds.
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References
Akama, S., Murai, T., Kudo, Y.: Reasoning with Rough Sets. Springer, Heidelberg (2018)
Chellas, B.: Modal Logic: An Introduction. Cambridge University Press, Cambridge (1980)
Lin, T.Y.: Granular computing on binary relation, I data mining and neighborhood systems, II rough set representations and belief functions. In: L. Polkowski, A. Skowron (eds.) Rough Sets in Knowledge Discovery 1: Methodology and Applications, pp. 107–121, 122–140. Physica-Verlag, Heidelberg (1998)
Murai, T., Nakata, M., Sato, Y.: A note on filtration and granular reasoning. Terano, T. et al. (eds.) New Frontiers in Artificial Intelligence, LNAI 2253, pp. 385–389. Springer (2001)
Murai, T., Resconi, G., Nakata, M., Sato, Y.: Operations of zooming in and out on possible worlds for semantic fields. In: Damiani, E. et al. (eds.) Knowledge-Based Intelligent Information Engineering Systems and Allied Technologies, pp. 1083–1087 (2002)
Murai, T., Resconi, G., Nakata, M., Sato, Y.: Granular reasoning using zooming in & out: Part 1. Propositional Reasoning. In: Proceedings of International Conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing (2003)
Pawlak, P.: Rough sets. Int. J. Comput. Inf. Sci. 11, 341–356 (1982)
Pawlak, P.: Rough Sets: Theoretical Aspects of Reasoning about Data. Kluwer, Dordrecht (1991)
Resconi, G., Murai, T., Shimbo, M.: Field theory and modal logic by semantic field to make uncertainty emerge from information. Int. J. Gen. Syst. 29, 737–782 (2000)
Skowron, A.: Toward intelligent systems: calculi of information granules. In: Terano et al. (eds.) New Frontiers in Artificial Intelligence, LNAI 2253, pp. 251–260, Springer (2001)
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Akama, S., Kudo, Y., Murai, T. (2020). Granular Computing and Aristotle’s Categorical Syllogism. In: Topics in Rough Set Theory. Intelligent Systems Reference Library, vol 168. Springer, Cham. https://doi.org/10.1007/978-3-030-29566-0_10
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DOI: https://doi.org/10.1007/978-3-030-29566-0_10
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