Publication: Spectral Lattices of reducible matrices over completed idempotent semifields
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2013
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Ceur Workshop Proceedings
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Abstract
Previous work has shown a relation between L-valued extensions of FCA and the spectra of some matrices related to L-valued contexts. We investigate the spectra of reducible matrices over completed idempotent semifields in the framework of dioids, naturally-ordered semirings, that encompass several of those extensions. Considering special sets of eigenvectors also brings out complete lattices in the picture and we argue that such structure may be more important than standard eigenspace structure for matrices over completed idempotent semifields.
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Proceedings of: 10th International Conference on Concept Lattices and Their Applications. (CLA 2013). La Rochelle, France, October 15-18, 2013.
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Formal Concept Analysis, Concept lattices, Clustering, Classification, Data mining, Visualisation
Bibliographic citation
Ojeda-Aciego, M. and Outrata, J. (eds.) (2013). CLA 2013: The Tenth International Conference on Concept Lattices and Their Applications. La Rochelle, France, October 15-18, 2013. (pp. 211-224). CEUR workshop Proceedings.