International Journal of Engineering Research in Electronics and Communication Engineering

Fuzzy Fourier series using Hexagonal, Reverse order Pentagonal Fuzzy Number

Author : T. Pathinathan ¹ E. Anita Dolorosa ²

Date of Publication :21st April 2018

Abstract: In this paper we have used Hexagonal fuzzy number in Fuzzy Fourier series for the period of ï›ï€ï° ,ï° ï .We have observed that Reverse order pentagonal fuzzy number also satisfies the periodic function for the fuzzy Fourier series

Reference :

1. D. Dubois and H. Prade, “Operations on Fuzzy numbers”, International Journal of Systems Science. vol.9, no.6, pp. 613-626, 1978.
2. L.A. Zadeh, “Fuzzy sets on Information and Control Theory”, vol. 8, no. 3, pp. 338-353, 1965.
3. Hugh L Montgomery, “Early Fourier Analysis, Pure and Applied text book”. American Mathematical Society, 2014
4. Ugur Kadak and Feyzi Basar, “On Fourier Series of Fuzzy valued functions”. The scientific World Journal, vol.14, 2014.
5. T.Pathinathan and K. Ponnivalavan., “Pentagonal fuzzy numbers”. International Journal of Computing Algorithm, vol. 3, pp. 1003-1005, 2014.
6. T. Pathinathan and K. Ponnivalavan, “Reverse order Triangular, Trapezoidal and Pentagonal Fuzzy numbers”. Annals of Pure and Applied Mathematics, vol. 9, no. 1, pp. 107-117,2015.
7. Michael Hans, “Applied Fuzzy Arithmetic, An Introduction with Engineering Applications”, 2003.
8. Irina Perfilieva and Petra Hod’áková , “Fuzzy and Fourier Transform”, Aix-les-Bain. France, 2011.
9. P. Rajarajeswari and A. Sahaya Sudha, “Ordering Generalized Hexagonal Fuzzy Numbers Using Rank, Mode, Divergence and Spread”, IOSR Journal of Mathematics, vol. 10 no. 3, pp. 15-22, 2014.
10. S. Banerjee and T.K. Roy, “Arithmetic operations on Generalized Trapezoidal Fuzzy Number and its Applications”, Turkish Journal of Fuzzy systems, vol. 3, no. 1, pp. 16-44, 2012.