RANFIS : Rough Adaptive Neuro-Fuzzy Inference System

The paper presents a new hybridization methodology involving Neural, Fuzzy and Rough Computing. A Rough Sets based approximation technique has been proposed based on a certain Neuro – Fuzzy architecture. A New Rough Neuron composition consisting of a combination of a Lower Bound neuron and a Boundary neuron has also been described. The conventional convergence of error in back propagation has been given away for a new framework based on 'Output Excitation Factor' and an inverse input transfer function. The paper also presents a brief comparison of performances, of the existing Rough Neural Networks and ANFIS architecture against the proposed methodology. It can be observed that the rough approximation based neuro-fuzzy architecture is superior to its counterparts.





References:
[1] Z. Pawlak, Rough sets: theoretical aspects of reasoning about data,
Kluwer Academic Publishers, London, 1991.
[2] Z. Pawlak, "Rough sets, rough relations and rough functions", Fundam.
Inform, vol. 27 (2/3), 1996, pp. 103 - 108.
[3] Z. Pawlak, "Rough classification", Intl. J. of Human Computer Studies,
vol. 51 (2), 1999, pp. 369 - 383.
[4] P.Lingras, Y.Y. Yao, "Data mining using extensions of the rough set
model", J. of American Society for Information Science, vol. 49 (5),
1998, pp. 415 - 422.
[5] P. Lingras, "Rough neural networks", In Proc. of the 6th Intl. Conf. on
Information Processing and Management of Uncertainty, Universidad
da Granada, Granada, 1996, pp. 1445 - 1450.
[6] J. S. R. Jang, "ANFIS: adaptive-network-based fuzzy inference system",
IEEE Trans. on Systems, Man and Cybernetics, 1993.
[7] J. S. R. Jang, C.T. Sun, E. Mizutani, Neuro-Fuzzy and soft computing: a
computational approach to learning and machine intelligence, Prentice
Hall, New Jersey, 1997.
[8] S. Chandana, R. V. Mayorga, "Rough approximation based neuro-fuzzy
inference systems," In Proc. of IEEE Intl. Conf. on Hybrid Intelligent
Systems, IEEE, Rio, pp. 518 521,2005.
[9] Boeing Inc., Specifications of F/A-18E/F Super Hornet. Weblink.
Viewed Dec 2004 (www.boeing.com/defense-space/military/fa18ef).
[10] A. Miele, Flight mechanics: theory of flight paths. Addison Wesley.
1962, pp. 107-374.