Summary
We consider the “missing value” semantics and the “absent value” semantics in object–oriented rough set models proposed by Kudo and Murai. The object–oriented rough set model (OORS) is an extension of rough set theory by introducing object–oriented paradigm, and treats semi-structured objects and hierarchies among objects based on is-a and has-a relationships. In this chapter, we propose null value objects of OORS and revise Kryszkiewicz’s tolerance relations, which characterize “missing value” semantics in OORS as incompleteness by “lack of parts”. Moreover, we discuss connections between “absent value” semantics and is-a relationship in OORS, and revise similarity relations proposed by Stefanowski and Tsoukiàs, which characterize “absent value” semantics in OORS as incompleteness by difference of architecture of objects.
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Kudo, Y., Murai, T. (2008). Missing Value Semantics and Absent Value Semantics for Incomplete Information in Object-Oriented Rough Set Models. In: Bello, R., Falcón, R., Pedrycz, W., Kacprzyk, J. (eds) Granular Computing: At the Junction of Rough Sets and Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol 224. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76973-6_1
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DOI: https://doi.org/10.1007/978-3-540-76973-6_1
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