On the L-fuzzy generalization of Chu correspondences

In this position paper, we focus on the framework of Chu correspondences extending Mori’s approach [16] to formal concept analysis by proposing suitable denitions of the required concepts in an L-fuzzy environment.

[1]  Ming-Wen Shao,et al.  Reduction method for concept lattices based on rough set theory and its application , 2007, Comput. Math. Appl..

[2]  Guoqian Jiang,et al.  Context-based ontology building support in clinical domains using formal concept analysis , 2003, Int. J. Medical Informatics.

[3]  Stanislav Krajci A categorical view at generalized concept lattices , 2007, Kybernetika.

[4]  Ming-Wen Shao,et al.  Set approximations in fuzzy formal concept analysis , 2007, Fuzzy Sets Syst..

[5]  Xiaodong Liu,et al.  Approaches to the representations and logic operations of fuzzy concepts in the framework of axiomatic fuzzy set theory I , 2007, Inf. Sci..

[6]  Brian A. Davey,et al.  An Introduction to Lattices and Order , 1989 .

[7]  Vincent Duquenne,et al.  Structuration of phenotypes and genotypes through galois lattices and implications , 2003, Appl. Artif. Intell..

[8]  L. Beran,et al.  [Formal concept analysis]. , 1996, Casopis lekaru ceskych.

[9]  Maokang Luo,et al.  Rough concept lattices and domains , 2009, Ann. Pure Appl. Log..

[10]  Pascal Hitzler,et al.  A Cartesian Closed Category of Approximable Concept Structures , 2004, ICCS.

[12]  Guo-Qiang Zhang Chu Spaces, Concept Lattices, and Domains , 2003, MFPS.

[13]  Xiaodong Liu,et al.  Concept analysis via rough set and AFS algebra , 2008, Inf. Sci..

[14]  Wei Xu,et al.  Fuzzy inference based on fuzzy concept lattice , 2006, Fuzzy Sets Syst..

[15]  Yan-Hui Zhai,et al.  Generating complete set of implications for formal contexts , 2008, Knowl. Based Syst..

[16]  Anna Formica,et al.  Ontology-based concept similarity in Formal Concept Analysis , 2006, Inf. Sci..

[17]  Qiang Wu,et al.  Real formal concept analysis based on grey-rough set theory , 2009, Knowl. Based Syst..

[18]  Hideo Mori,et al.  Functorial Properties of Formal Concept Analysis , 2007, ICCS.

[19]  Vaughan Pratt Chu Spaces , 1999 .

[20]  Sergei O. Kuznetsov,et al.  Complexity of learning in concept lattices from positive and negative examples , 2004, Discret. Appl. Math..

[21]  V. Phan-Luong A framework for integrating information sources under lattice structure , 2008, Inf. Fusion.

[22]  Ramón Fuentes-González,et al.  Treatment of L-Fuzzy contexts with absent values , 2009, Inf. Sci..

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

[24]  Xia Wang,et al.  Relations of attribute reduction between object and property oriented concept lattices , 2008, Knowl. Based Syst..

[25]  Radim Bělohlávek,et al.  Lattices of Fixed Points of Fuzzy Galois Connections , 2001 .

[26]  Pascal Hitzler,et al.  A Categorical View on Algebraic Lattices in Formal Concept Analysis , 2004, Fundam. Informaticae.

[27]  Cungen Cao,et al.  Formal Concept Analysis in Relational Database and Rough Relational Database , 2007, Fundam. Informaticae.

[28]  Alan Day,et al.  The Lattice Theory of Functional Dependencies and Normal Decompositions , 1992, Int. J. Algebra Comput..

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

[30]  Derek G. Bridge,et al.  Collaborative Recommending using Formal Concept Analysis , 2006, Knowl. Based Syst..

[31]  Anna Formica,et al.  Concept similarity in Formal Concept Analysis: An information content approach , 2008, Knowl. Based Syst..