Formal Concept Analysis: 4th International Conference, ICFCA - download pdf or read online

By Rudolf Wille (auth.), Rokia Missaoui, Jürg Schmidt (eds.)

ISBN-10: 3540322035

ISBN-13: 9783540322030

ISBN-10: 3540322043

ISBN-13: 9783540322047

This e-book constitutes the refereed lawsuits of the 4th overseas convention on Formal proposal research, ICFCA 2006, held in Dresden, Germany in February 2006.

The 17 revised complete papers offered including four invited papers have been rigorously reviewed and chosen for inclusion within the ebook.

The papers convey advances in utilized lattice and order thought and specifically clinical advances concerning formal suggestion research and its useful functions: info and data processing together with facts visualization, info retrieval, laptop studying, facts research and data management.

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Extra info for Formal Concept Analysis: 4th International Conference, ICFCA 2006, Dresden, Germany, February 13-17, 2006. Proceedings

Sample text

We see SS tends to underestimate. This bias is worse when only 1, 000nm nodes are checked. The systemic bias remains even when allowing 100, 000nm An Enumeration Problem in Ordered Sets 39 Table 1. Estimating the FC search tree for order-preserving maps of the 15-chain estimated nodes actual nodes 1 4 1 1 , 4 3 1 1 , 3 2 1 2 , 2 3 2 4 , 3 5 4 ,1 5 1, 54 5 3 , 4 2 3 ,2 2 < [2, 3) [3, 4) ≥4 SS PF2 PF3 HSc HSg 16 0 0 0 0 17 0 0 0 0 21 2 10 0 0 15 23 16 0 0 10 18 14 0 3 7 25 23 100 97 3 15 14 0 0 6 6 13 0 0 2 4 4 0 0 1 5 5 0 0 1 1 1 0 0 1 1 0 0 0 nodes to be checked for SS.

In formal concept analysis (FCA), formulas A ⇒ B are called attribute implications.

The Automorphism Problem. What is lim |P |→∞ |Aut(P )| |Aut(P )| := lim max ? n→∞ |P |=n |End(P )| |End(P )| The common conjecture is that the limit is zero. 3. The Automorphism Conjecture [11]. lim |P |→∞ |Aut(P )| = 0. |End(P )| The automorphism conjecture was proved for the class of finite lattices in [7]. 288, 289 that prove the automorphism conjecture for some easy classes of ordered sets, such as interval ordered sets and sets of width ≤ 3. To get some experimental insight into the problem, it is natural to use an enumeration algorithm to compute the numbers of endomorphisms and automorphisms for specific ordered sets and investigate these quotients.

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Formal Concept Analysis: 4th International Conference, ICFCA 2006, Dresden, Germany, February 13-17, 2006. Proceedings by Rudolf Wille (auth.), Rokia Missaoui, Jürg Schmidt (eds.)


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