User-Friendly Fuzzy FCA

Fuzzy FCA is developed and well understood from the algebraic point of view, but the meaning is still not clear to a (potential) real user. In the area of linear residuated lattices we try to explain the meaning of the concept forming operators and their results in a fuzzy FCA. In the area of non-linear residuated lattices we discuss meaningful criteria for using them in fuzzy FCA and we propose examples with a clear meaning for a user.

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

[2]  Juraj Macko,et al.  Formal Concept Analysis as a Framework for Business Intelligence Technologies , 2012, ICFCA.

[3]  Petr Hájek,et al.  Metamathematics of Fuzzy Logic , 1998, Trends in Logic.

[4]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[5]  Guoyin Wang,et al.  Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing , 2013, Lecture Notes in Computer Science.

[6]  Karl Erich Wolff,et al.  Position Paper: Pragmatics in Fuzzy Theory , 2011, RSFDGrC.

[7]  Radim Belohlávek,et al.  Reduction and a Simple Proof of Characterization of Fuzzy Concept Lattices , 2001, Fundam. Informaticae.

[8]  Radim Belohlávek,et al.  Crisply Generated Fuzzy Concepts , 2005, ICFCA.

[9]  Radim Belohlávek,et al.  Optimal decompositions of matrices with grades into binary and graded matrices , 2010, Annals of Mathematics and Artificial Intelligence.

[10]  Vilém Vychodil,et al.  Formal concept analysis and linguistic hedges , 2012, Int. J. Gen. Syst..

[11]  Vilém Vychodil,et al.  Reducing the Size of Fuzzy Concept Lattices by Hedges , 2005, The 14th IEEE International Conference on Fuzzy Systems, 2005. FUZZ '05..

[12]  Radim Bělohlávek,et al.  Fuzzy Relational Systems: Foundations and Principles , 2002 .

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

[14]  Vilém Vychodil,et al.  Residuated Lattices of Size ≤ 12 , 2010, Order.

[15]  R. Belohlávek.  Fuzzy Relational Systems: Foundations and Principles , 2002 .