Approximate Reasoning and Conceptual Structures

In this paper we are applying approximate reasoning methods for extracting conceptual structures from collected data. Stabilities of previously obtained concepts are investigated by removing attributes from the data set. Another search for interesting patterns by build nested lattices and compare the obtained concepts with the ones resulting from applying the first two approaches is also enclosed.

[1]  Yahachiro Tsukamoto,et al.  AN APPROACH TO FUZZY REASONING METHOD , 1993 .

[2]  Madan M. Gupta,et al.  Fuzzy automata and decision processes , 1977 .

[3]  Christer Carlsson,et al.  Optimization under fuzzy if-then rules , 2001, Fuzzy Sets Syst..

[4]  H. Zimmermann,et al.  Fuzzy reasoning for solving fuzzy mathematical programming problems , 1993 .

[5]  Christoph S. Herrmann.  Fuzzy Logic as Interfacing Technique in Hybrid AI-Systems , 1995, Fuzzy Logic in Artificial Intelligence.

[6]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[7]  R. Wille.  Concept lattices and conceptual knowledge systems , 1992 .

[8]  R. Felix.  Relationships between goals in multiple attribute decision making , 1994 .

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

[10]  Kwoting Fang,et al.  Using Formal Concept Analysis to Leverage Ontology-Based Acu-Point Knowledge System , 2008, ICMB.

[11]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[12]  E. H. Mamdani,et al.  Application of Fuzzy Logic to Approximate Reasoning Using Linguistic Synthesis , 1976, IEEE Transactions on Computers.

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

[14]  M. Sugeno.  FUZZY MEASURES AND FUZZY INTEGRALS—A SURVEY , 1993 .

[15]  Michio Sugeno,et al.  Industrial Applications of Fuzzy Control , 1985 .

[16]  Camille Roth,et al.  Reducing the Representation Complexity of Lattice-Based Taxonomies , 2007, ICCS.

[17]  Simon Polovina,et al.  Conceptual Structures: Knowledge Architectures for Smart Applications, 15th International Conference on Conceptual Structures, ICCS 2007, Sheffield, UK, July 22-27, 2007, Proceedings , 2007, ICCS.

[18]  Steffen Hölldobler,et al.  Fuzzy conceptual knowledge processing , 1996, SAC '96.

[19]  Vijay K. Rohatgi,et al.  Advances in Fuzzy Set Theory and Applications , 1980 .

[20]  Wolfgang Slany,et al.  Fuzzy Logic in Artificial Intelligence , 1993, Lecture Notes in Computer Science.

[21]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .