Abstract
Hardware implementation of fuzzy systems plays important role in many industrial applications of fuzzy logic. The most popular applications of fuzzy hardware systems were found in the domain of control systems but the area of application of these systems is extending on other areas such as signal processing, pattern recognition, expert systems etc. The digital fuzzy hardware systems usually use only basic operations of fuzzy logic like min, max and some others, first, due to their popularity in traditional fuzzy control systems and, second, due to the difficulties of hardware implementation of more complicated operations, e.g. parametric classes of t-norms and t-conorms. But for extending the area of applications and flexibility of fuzzy hardware systems it is necessary to develop the methods of digital hardware implementation of wide range of fuzzy operations. The paper studies the problem of digital hardware implementation of fuzzy parametric conjunction and disjunction operations. A new class of such operations is proposed which is simple for digital hardware implementation and is flexible, due to its parametric form, for possible tuning in fuzzy models. The methods of hardware implementation of these operations in digital systems are proposed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Terano, T., Asai, K., Sugeno, M.: Applied Fuzzy Systems. Academic Press Professional, San Diego (1994)
Yen, J., Langari, R., Zadeh, L.A.: Industrial Applications of Fuzzy Logic and Intelligent Systems. IEEE Press, NJ (1995)
Jang, J.-S.R., Sun, C.T., Mizutani, E.: Neuro-Fuzzy and Soft Computing. A Computational Approach to Learning and Machine Intelligence (1997)
Jespers, P.G.A., Dualibe, C., Verleysen, M.: Design of Analog Fuzzy Logic Controllers in CMOS Technologies. In: Implementation, Test and Application, Kluwer Academic Publishers, New York (2003)
Kandel, A., Langholz, G.: Fuzzy Hardware: Architectures and Applications. Kluwer Academic Publishers, Dordrecht (1997)
Patyra, M.J., Grantner, J.L., Koster, K.: Digital Fuzzy Logic Controller: Design and Implementation. IEEE Transactions on Fuzzy Systems 4, 439–459 (1996)
Togai, M., Watanabe, H.: A VLSI Implementation of a Fuzzy-Inference Engine: Toward an Expert System on a Chip. Information Sci. 38, 147–163 (1986)
Cardarilli, G.C., Re, M., Lojacono, R., Salmeri, M.: A New Architecture for High-Speed COG Based Defuzzification. In: TOOLMET 1997. International Workshop on Tool Environments and Development Methods for Intelligent Systems, pp. 165–172 (1997)
Gaona, A., Olea, D., Melgarejo, M.: Distributed Arithmetic in the Design of High Speed Hardware Fuzzy Inference Systems. In: 22nd International Conference of the North American Fuzzy Information Processing Society, pp. 116–120 (2003)
Banaiyan, A., Fakhraie, S.M., Mahdiani, H.R.: Cost-Performance Co-Analysis in VLSI Implementation of Existing and New Defuzzification Methods. In: Computational Intelligence for Modelling, Control and Automation and International Conference on Intelligent Agents, Web Technologies and Internet Commerce, vol. 1, pp. 828–833 (2005)
Tamukoh, H., Horio, K., Yamakawa, T.: A Bit-Shifting-Based Fuzzy Inference for Self-Organizing Relationship (SOR) Network. IEICE Electronics Express 4, 60–65 (2007)
Salapura, V., Hamann, V.: Implementing Fuzzy Control Systems Using VHDL and Statecharts. In: EURO-DAC 1996 with EURO-VHDL 1996. Proc. of the European Design Automation Conference, pp. 53–58. IEEE Computer Society Press, Geneva (1996)
Sánchez-Solano, S., Senhadji, R., Cabrera, A., Baturone, I., Jiménez, C.J., Barriga, A.: Prototyping of Fuzzy Logic–Based Controllers Using Standard FPGA Development Boards. In: Proc. IEEE International Workshop on Rapid System Prototyping, pp. 25–32. IEEE Computer Society Press, Los Alamitos (2002)
Garrigos-Guerrero, F.J., Ruiz Merino, R.: Implementacion de Sistemas Fuzzy Complejos sobre FPGAs. In: Computación Reconfigurable y FPGAs, pp. 351–358 (2003)
Raychev, R., Mtibaa, A., Abid, M.: VHDL Modelling of a Fuzzy Co-Processor Architecture. In: International Conference on Computer Systems and Technologies – CompSysTech (2005)
Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)
Klement, E.P., Mesiar, R., Pap, E.: Triangular Norms. Kluwer, Dordrecht (2000)
Patterson, D.A., Hennessy, J.L.: Computer Organization and Design: The Hardware/Software Interface, 2nd edn. Morgan Kaufmann Publishers, San Francisco (1998)
Zargham, M.R.: Computer Architecture: Single and Parallel Systems. Prentice-Hall, Englewood Cliffs (1995)
Kosko, B.: Fuzzy Systems as Universal Approximators. In: Proc. IEEE Int. Conf. on Fuzzy Systems, pp. 1153–1162. IEEE Computer Society Press, Los Alamitos (1992)
Wang, L.X.: Fuzzy Systems are Universal Approximators. In: Proc. IEEE Int. Conf. On Fuzzy Systems, pp. 1163–1170. IEEE Computer Society Press, Los Alamitos (1992)
Kosko, B.: Fuzzy Engineering. Prentice-Hall, New Jersey (1997)
Wang, L.-X.: A Course in Fuzzy Systems and Control. Prentice Hall PTR, Upper Saddle River, NJ (1997)
Batyrshin, I., Kaynak, O.: Parametric Classes of Generalized Conjunction and Disjunction Operations for Fuzzy Modeling. IEEE Transactions on Fuzzy Systems 7, 586–596 (1999)
Batyrshin, I., Kaynak, O., Rudas, I.: Fuzzy Modeling Based on Generalized Conjunction Operations. IEEE Transactions on Fuzzy Systems 10, 678–683 (2002)
Tocci, R.J., Widmer, N.S., Moss, G.L.: Digital Systems: Principles and Applications, 9th edn. Prentice-Hall, Englewood Cliffs (2003)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Batyrshin, I., Hernández Zavala, A., Camacho Nieto, O., Villa Vargas, L. (2007). Generalized Fuzzy Operations for Digital Hardware Implementation. In: Gelbukh, A., Kuri Morales, Á.F. (eds) MICAI 2007: Advances in Artificial Intelligence. MICAI 2007. Lecture Notes in Computer Science(), vol 4827. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76631-5_2
Download citation
DOI: https://doi.org/10.1007/978-3-540-76631-5_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-76630-8
Online ISBN: 978-3-540-76631-5
eBook Packages: Computer ScienceComputer Science (R0)