Publication:
Towards Galois Connections over Positive Semifields

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URI: https://hdl.handle.net/10016/24695
ISSN: 1865-0929
ISBN: 978-3-319-40580-3
DOI: https://dx.doi.org/10.1007/978-3-319-40581-0_8
UXXI: CC/0000025328
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information_IPMU_2016_ps.pdf (459.61 KB)
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2016-06-11
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Springer
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Abstract
In this paper we try to extend the Galois connection construction of K-Formal Concept Analysis to handle semifields which are not idempotent. Important examples of such algebras are the extended non-negative reals and the extended non-negative rationals, but we provide a construction that suggests that such semifields are much more abundant than suspected. This would broaden enormously the scope and applications of K-Formal Concept Analysis.
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Formal Concept Analysis extensions, K-Formal Concept Analysis, Positive semifields, Galois connection
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Information Processing and Management of Uncertainty in Knowledge-Based Systems: 16th International Conference, IPMU 2016, Eindhoven, The Netherlands, June 20-24, Proceedings: Part II, pp. 81-92. Communications in Computer and Information Science, 611. Springer: Switzerland.
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