منابع مشابه
Rough sets and ordinal reducts
Rough set theory has been successfully applied in selecting attributes to improve the effectiveness in deriving decision trees/rules for decisions and classification problems. When decisions involve ordinal classes, the rough set reduction process should try to preserve the order relation generated by the decision classes. Previous works on rough sets when applied to ordinal decision systems st...
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A permutation sum (resp. difference) set on a group G is a set F of bijections from G to G such that fg (resp. f−1g) is again a bijection for all f, g ∈ F (resp. f, g ∈ F with f 6= g ∈ S), where (fg)(x) := f(x)g(x) for all x ∈ G, etc. The maximum size d(G) of a permutation difference set has been well studied, with many connections drawn between such sets and combinatorial objects such as famil...
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A set A of integers is sum-free if A\(A+A) = ;. Cameron conjectured that the number of sum-free sets A f1; : : : ; Ng is O(2 N=2). As a step towards this conjecture, we prove that the number of sets A f1
متن کاملOrdinal operations on graph representations of sets
Editorial Board Marat Arslanov, Kazan John T. Baldwin, Chicago, IL Douglas S. Bridges, Canterbury Armin Hemmerling, Greifswald Ramon Jansana, Barcelona Carl G. Jockusch, Urbana, IL Alexander Kechris, Pasadena, CA Ulrich Kohlenbach, Darmstadt H. Dugald Macpherson, Leeds Johann Makowsky, Haifa Andrzej Rosłanowski, Omaha, NE Jörg Rothe, Düsseldorf Wilfried Sieg, Pittsburgh, PA Stephen G. Simpson, ...
متن کاملOrdinal Classification Using Partially Ordered Feature Sets
This paper presents a method to solve an ordinal classification problem where the objects are described with a set of partially ordered features. To construct an ordinal classification model we aggregate partial orders of features by weighting the incidence matrices of partial order graphs. To describe set of possible solutions we use partial order cones corresponding to the incidence matrices ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1972
ISSN: 0002-9939
DOI: 10.2307/2038479