Concepts in fuzzy logics

In this paper we present a method for early identification of students who would have serious difficulties in studying a particular subject due to lack of preliminary knowledge. Methods from formal concept analysis are applied for finding relationships between results from a test on students' preliminary knowledge and the outcome of learning new knowledge within the same subject. Fuzzy logic rules are further incorporated into the process of establishing level of difficulties a student would have while learning new concepts and skills within a particular topic in that subject.

[1]  菅野 道夫,et al.  Industrial applications of fuzzy control , 1985 .

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

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

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

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

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

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

[8]  Nasa Contractor,et al.  DECISION-MAKING IN A FUZZY ENVIRONMENT , 1970 .

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

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

[11]  Valeri Mladenov,et al.  Proceedings of the 10th WSEAS international conference on Automation & information , 2009 .

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

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

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

[15]  Guido van Rossum,et al.  Python Programming Language , 2007, USENIX Annual Technical Conference.

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