Nonstandard set theories and information management |
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Authors: | Varol Akman Müjdat Pakkan |
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Affiliation: | (1) Department of Computer Engineering and Information Science, Bilkent University, Bilkent, 06533 Ankara, Turkey;(2) Department of Computer Engineering, Bosphorus University, Bebek, 80815 Istanbul, Turkey |
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Abstract: | The merits of set theory as a foundational tool in mathematics stimulate its use in various areas of artificial intelligence, in particular intelligent information systems. In this paper, a study of various nonstandard treatments of set theory from this perspective is offered. Applications of these alternative set theories to information or knowledge management are surveyed. |
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Keywords: | set theory knowledge representation information management commonsense reasoning nonwell-founded sets (hypersets) |
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