Optimal approximations with rough sets and similarities in measure spaces

DOI10.1016/j.ijar.2015.12.014zbMath1352.68245OpenAlexW2225304112MaRDI QIDQ256472

Adam Lenarčič, Ryszard Janicki

Publication date: 9 March 2016

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2015.12.014

zbMATH Keywords

rough setssimilarityoptimal approximationMarczewski-Steinhaus index

Mathematics Subject Classification ID

Reasoning under uncertainty in the context of artificial intelligence (68T37) Spaces of measures, convergence of measures (28A33)

Related Items (8)

Approximations of arbitrary relations by partial orders ⋮ Yet Another Kind of Rough Sets Induced by Coverings ⋮ On some generalization of rough sets ⋮ Grained matrix and complementary matrix: novel methods for computing information descriptions in covering approximation spaces ⋮ On the properties of subsethood measures ⋮ Rough approximations based on bisimulations ⋮ Mathematical properties of soft cardinality: enhancing Jaccard, Dice and cosine similarity measures with element-wise distance ⋮ On the derivation of weights from incomplete pairwise comparisons matrices via spanning trees with crisp and fuzzy confidence levels

Cites Work

• Rough sets and intelligent systems -- Professor Zdzisław Pawlak in memoriam. Volume 1. Foreword by Roman Słowiński.
• Approximations of Arbitrary Binary Relations by Partial Orders: Classical and Rough Set Models
• On a certain distance of sets and the corresponding distance of functions
• Property-Driven Rough Sets Approximations of Relations
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