Axiomatics fuzzy sets logic

IEEE International Conference on Fuzzy Systems

Volumn 1, Issue , 2003, Pages 55-60

  Liu, Xiaodong ^a   Pedrycz, Witold ^b   Zhang, Qingling ^c  

^a DALIAN MARITIME UNIVERSITY   (China)

^b UNIVERSITY OF ALBERTA   (Canada)

^c NORTHEASTERN UNIVERSITY   (China)

Author keywords

AFS algebra; AFS fuzzy logic; AFS structures; Molecular lattices; Preference relations; Sub preference relations

Indexed keywords

ALGORITHMS; DATABASE SYSTEMS; SET THEORY;

AXIOMATICS FUZZY SETS (AFS);

FUZZY SETS;

EID: 0038538240     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. Zadeh, L.A., Fuzzy Sets,Information and Control,vol.8,338-353,1965.
2. Liu Xiaodong, The Fuzzy Sets and System Based on AFS Structure, EI Algebra and EII algebra, Fuzzy Sets and Systems, vol. 95, pp. 179-188, 1998. Holland.
3. Liu Xiaodong, A New Fuzzy Model of Pattern Recognition and Hitch Diagnosis of Complex Systems, Fuzzy Sets and Systems, vol. 104, pp. 289-296, 1999, Holland.
4. Liu Xiaodong, The Fuzzy Theory Based on AFS Algebras and AFS Structure, Journal of Mathematical Analysis and Applications, vol. 217, pp. 459-478, 1998. USA.
5. Liu Xiaodong, The Topology on AFS Algebra and AFS Structure, Journal of Mathematical Analysis and Applications, vol. 217, pp. 479-489, 1998. USA.
6. Liu Xiaodong, The Structure of Fuzzy Matrices, Journal of Fuzzy Mathematics, vol. 2, pp. 311-325, 1994. USA.
7. Graver J. E, Watkins M. E., Combinatorics with Emphasis on the Theory of Graphs. New York, inc.:Springer-Verlag, 1977.
8. Liu Xiaodong, A New Mathematical Axiomatic System of Fuzzy Sets and Systems, Journal of Fuzzy Mathematics, vol. 3, pp. 559-560, 1995. USA.
9. Liu Xiaodong, Two Algebra Structures of AFS structure, Journal of Fuzzy Mathematics, vol. 3, 561-562, 1995. USA.
10. Kim K. H., Boolean matrix Theory and Applications, Inc.: Marcel Dekker, 1982.
11. Wang Guo-jin, Theory of topological molecular lattices, Fuzzy Sets and Systems, vol. 47, pp. 351-376, 1992.
12. Bart Kosko,Fuzzy Engineering, Prentice Hall, 1997.
13. Liu Xiaodong, Zhang Qingling, The EI Algebra Representations of Fuzzy Concepts, Fuzzy Systems and Mathematics, vol.16, No.2, 2002.