On intent stability index for one-sided concept lattices

The intent stability index represents an useful relevancy measure of the extracted patterns in the FCA data mining method. We describe this kind of relevancy measure for the so-called one-sided concept lattices, which represent a fuzzy generalization of the classical FCA. The basic properties of the stability index and some experimental results concerning this index conducted on randomly generated dataset are discussed.

[1]  Peter Butka,et al.  On equivalence of conceptual scaling and generalized one-sided concept lattices , 2014, Inf. Sci..

[2]  Bernhard Ganter,et al.  Formal Concept Analysis: Mathematical Foundations , 1998 .

[3]  Sergei O. Kuznetsov,et al.  Approximating Concept Stability , 2012, ICFCA.

[4]  Peter Butka,et al.  Generalization of One-Sided Concept Lattices , 2013, Comput. Informatics.

[5]  Martin Sarnovsky,et al.  Cloud-based clustering of text documents using the GHSOM algorithm on the GridGain platform , 2013, 2013 IEEE 8th International Symposium on Applied Computational Intelligence and Informatics (SACI).

[6]  Radomír Halas,et al.  Are basic algebras residuated structures? , 2010, Soft Comput..

[7]  Gregory Piatetsky-Shapiro,et al.  Knowledge Discovery in Databases: An Overview , 1992, AI Mag..

[8]  Jozef Pócs,et al.  Note on generating fuzzy concept lattices via Galois connections , 2012, Inf. Sci..

[9]  Radomír Halas,et al.  On weakly cut-stable maps , 2010, Inf. Sci..

[10]  Bernhard Ganter,et al.  Formal Concept Analysis, 6th International Conference, ICFCA 2008, Montreal, Canada, February 25-28, 2008, Proceedings , 2008, International Conference on Formal Concept Analysis.

[11]  Cherukuri Aswani Kumar,et al.  Bipolar fuzzy graph representation of concept lattice , 2014, Inf. Sci..

[12]  Jozef Pócs,et al.  On the Inverse Problem for Generalized One-Sided Concept Lattices , 2014, Informatica.

[13]  Radomír Halaš.  Some properties of boolean ordered sets , 1996 .

[14]  Manuel Ojeda-Aciego,et al.  On multi-adjoint concept lattices based on heterogeneous conjunctors , 2012, Fuzzy Sets Syst..

[15]  Manuel Ojeda-Aciego,et al.  Formal concept analysis via multi-adjoint concept lattices , 2009, Fuzzy Sets Syst..

[16]  J. Pócsová.  Note on formal contexts of generalized one-sided concept lattices , 2013 .

[17]  Aleksey Buzmakov,et al.  Is Concept Stability a Measure for Pattern Selection? , 2014, ITQM.

[18]  Bernhard Ganter,et al.  Formal Concept Analysis , 2013 .

[19]  Stanislav Krajci,et al.  On heterogeneous formal contexts , 2014, Fuzzy Sets Syst..

[20]  Kenneth McGarry,et al.  A survey of interestingness measures for knowledge discovery , 2005, The Knowledge Engineering Review.

[21]  Frantisek Babic,et al.  Building the prediction model from the aviation incident data , 2014, 2014 IEEE 12th International Symposium on Applied Machine Intelligence and Informatics (SAMI).

[22]  Radomír Halas,et al.  Generalized one-sided concept lattices with attribute preferences , 2015, Inf. Sci..

[23]  A. Jaoua,et al.  Discovering knowledge from fuzzy concept lattice , 2001 .

[24]  Sergei O. Kuznetsov,et al.  On stability of a formal concept , 2007, Annals of Mathematics and Artificial Intelligence.

[25]  Ivan Chajda,et al.  Every effect algebra can be made into a total algebra , 2009 .

[26]  Radomír Halas,et al.  The Zerodivisor Graph of a Qoset , 2010, Order.