Some classes of binary operations in approximate reasoning

INES'05: IEEE 9th International Conference on Intelligent Engineering Systems - Proceedings

Volumn 2005, Issue , 2005, Pages 123-128

  Tick, József ^a   Fodor, János ^a  

^a OBUDA UNIVERSITY   (Hungary)

Author keywords

Approximate reasoning; Conjunctions; Generalized modus ponens; Nilpotent minimum and the related implication; R and S implications

Indexed keywords

BINARY CODES; NUMERICAL METHODS;

APPROXIMATE REASONING; CONJUNCTIONS; GENERALIZED MODUS PONENS;

FORMAL LOGIC;

EID: 33845503688     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/INES.2005.1555143     Document Type: Conference Paper

References (13)

1. E. Czogała, J. Fodor, and J. Łȩski, The Fodor fuzzy implication in approximate reasoning, Systems Science, 23 (1997) 17-28.
2. D. Dubois and H. Prade, Fuzzy sets in approximate reasoning, Part 1: Inference with possibility distributions, Fuzzy Sets and Systems 40 (1991) 143-202.
3. J. Fodor, Contrapositive symmetry of fuzzy implications, Fuzzy Sets and Systems 69 (1995) 141-156.
4. J. Fodor and T. Keresztfalvi, Non-standard conjunctions and implications in fuzzy logic, Internat. J. Approx. Reason. 12 (1995) 69-84.
5. J.C. Fodor and T. Keresztfalvi, A characterization of the Harnacher family of t-norms, Fuzzy Sets and Systems 65 (1994) 51-58.
6. H. Harnacher, Über logische Verknüpfungen unscharfer Aussagen und deren zugehörige Bewertungsfunktionen, Working Paper 75/14, RWTH Aachen, Aachen, Germany, 1975.
7. E.P. Klement, R. Mesiar, and E. Pap, Triangular Norms, (Kluwer Academic Publishers, Dordrecht, 2000).
8. L. Madarász, Intelligent Technologies and their Applications in the Complex Systems. (University Press, ELFA, TU Košice, Slovakia, 2004), 384 pp.
9. P. Magrez and P. Smets, Fuzzy modus ponens: a new model suitable for applications in knowledge-based systems, Internat. J. Intelligent Systems 4 (1989) 181-200.
10. E.H. Mamdani and S. Assilian, An experiment in linguistic synthesis with a fuzzy logic controller, Intern. J. Man-Machine Stud. 7 (1975) 1-13.
11. J. Tick and J. Fodor, Fuzzy implications and inference processes, in: Proc. of the IEEE 3rd International Conference on Computational Cybernetics (ICCC 2005), (April 13-16, 2005, Hotel Le Victoria, Mauritius).
12. J. Vaščák and L. Madarász, Similary relations in diagnosis fuzzy systems. Journal of Advanced Computional Intelligence 4 (2000) 246-250.
13. L.A. Zadeh, Outline of a new approach to the analysis of complex systems and decision processes, IEEE Trans. Syst., Man Cybern. 3 (1973) 28-44.