Abstract
Operations used in fuzzy systems to realize conjunction and disjunction over fuzzy sets are commonly minimum and maximum because they are easy to implement and provide good results when fuzzy system is tuned, but tuning of the system is a hard work that can result on knowledge lost. A good choice to tune the system without loss of previously stated knowledge is by using parametric classes of conjunction and disjunction operations, but these operations must be suitable to be efficiently implemented on digital hardware. In this paper, the problem of obtain effective digital hardware for parametric operations of fuzzy systems is studied. The methods for generation of parametric classes of fuzzy conjunctions and disjunctions by means of generators and basic operations are considered. Some types of generators of parametric fuzzy operations simple for hardware implementation are proposed. New hardware implementation for parametric operations with operation selection is presented.
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References
Tocci, R.J., Widmer, N.S., Moss, G.L.: Digital Systems: Principles and Applications, 9th edn. Prentice-Hall, Englewood Cliffs (2003)
Patterson, D.A., Hennessy, J.L.: Computer Organization and Design: The Hardware / Software Interface, 2nd edn. Morgan Kaufmann, San Francisco (1998)
Batyrshin, I., Kaynak, O., Rudas, I.: Generalized Conjunction and Disjunction Operations for Fuzzy Control. In: EUFIT 1998, 6th European Congress on Intelligent Techniques & Soft Computing, Verlag Mainz, Aachen, vol. 1, pp. 52–57 (1998)
Batyrshin, I., Kaynak, O.: Parametric Classes of Generalized Conjunction and Disjunction Operations for Fuzzy Modeling. IEEE Trans. on Fuzzy Systems 7, 586–596 (1999)
Batyrshin, I., Kaynak, O., Rudas, I.: Fuzzy Modeling Based on Generalized Conjunction Operations. IEEE Trans. on Fuzzy Systems 10, 678–683 (2002)
Batyrshin, I.Z., Hernández Zavala, A., Camacho Nieto, O., Villa Vargas, L.: Generalized Fuzzy Operations for Digital Hardware Implementation. In: Gelbukh, A., Kuri Morales, Á.F. (eds.) MICAI 2007. LNCS (LNAI), vol. 4827, pp. 9–18. Springer, Heidelberg (2007)
Rudas, I.J., Batyrshin, I., Hernández Zavala, A., Camacho Nieto, O., Villa Vargas, L., Horváth, L.: Generators of fuzzy operations for hardware implementation of fuzzy systems. In: Gelbukh, A., Morales, E.F. (eds.) MICAI 2008. LNCS (LNAI), vol. 5317, pp. 710–719. Springer, Heidelberg (2008)
Klement, E.P., Mesiar, R., Pap, E.: Triangular Norms. Kluwer, Dordrecht (2000)
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Zavala, A.H., Batyrshin, I.Z., Rudas, I.J., Vargas, L.V., Nieto, O.C. (2009). Parametric Operations for Digital Hardware Implementation of Fuzzy Systems. In: Aguirre, A.H., Borja, R.M., Garciá, C.A.R. (eds) MICAI 2009: Advances in Artificial Intelligence. MICAI 2009. Lecture Notes in Computer Science(), vol 5845. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05258-3_38
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DOI: https://doi.org/10.1007/978-3-642-05258-3_38
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