Abstract
In rough set theory, information systems are used to represent knowledge-bases, particularly when practical applications are involved. We explore one such use of information systems, for representing the open world model. Open world information systems are defined, and a temporal logic, including descriptors and the global modality, is proposed as a formal reasoning framework for these structures.
The author acknowledges support of the Institute of Logic and Cognition, Sun Yat-Sen University, Guangzhou, during a visit from which the work was initiated.
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Notes
- 1.
In this discourse, we identify ‘knowledge’ with ‘information’.
References
Banerjee, M., Khan, M.A.: Rough set theory: a temporal logic view. In: Chakraborty, M.K., Löwe, B., Mitra, M.N., Sarukkai, S. (eds.) Studies in Logic. Proceedings of the Logic, Navya-Nyaya and Applications: Homage to Bimal Krishna Matilal, 3–6 January 2007, Kolkata, Vol. 15, pp. 1–20. College Publications, London (2008)
Ju, S., Liu, H.: The logical structure of open sets. In: Ju, S. (ed.) Logic and Cognition: The Progress in Logical Study in China, pp. 596–603. Social Sciences in China Press, Beijing (2003)
Khan, M.A., Banerjee, M.: Logics for some dynamic spaces—I and II. J. Log. Comput. (2014). doi:10.1093/logcom/exu055-56
Khan, M.A., Banerjee, M.: A logic for complete information systems. In: Sossai, C., Chemello, G. (eds.) The 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, Verona, Italy. LNAI, vol. 5590, pp. 829–840. Springer (2009)
Khan, M.A., Banerjee, M.: Logics for information systems and their dynamic extensions. ACM Trans. Comput. Log. 12(4), 29 (2011)
Khan, M.A., Banerjee, M.: An update logic for information systems. Int. J. Approx. Reason. 55(1), 436–456 (2014)
Orłowska, E.: Dynamic information system. Fundam. Inf. 5, 101–118 (1982)
Pawlak, Z.: Rough Sets. Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht (1991)
Synak, P.: Temporal feature extraction from temporal information systems. In: Zhong, Z., Ras, Z.W., Tsumoto, S., Suzuki, E. (eds.) Foundations of Intelligent Systems. Proceedings of ISMIS 2003, LNCS 2871, pp. 270–278. Springer, Berlin (2003)
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Banerjee, M., Ju, S., Khan, M.A., Tang, L. (2015). Open World Models: A View from Rough Set Theory. In: Chakraborty, M.K., Skowron, A., Maiti, M., Kar, S. (eds) Facets of Uncertainties and Applications. Springer Proceedings in Mathematics & Statistics, vol 125. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2301-6_6
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DOI: https://doi.org/10.1007/978-81-322-2301-6_6
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