Study on the Behaviour of Cosine Imprecise Functions

Sahalad Borgoyary

doi:https://doi.org/10.14445/22315373/IJMTT-V47P516

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 47 | Number 2 | Year 2017 | Article Id. IJMTT-V47P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P516

Study on the Behaviour of Cosine Imprecise Functions

Sahalad Borgoyary

Citation :

Sahalad Borgoyary, "Study on the Behaviour of Cosine Imprecise Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 2, pp. 128-136, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P516

Abstract

We convert polynomial function of finite degree into Cosine imprecise function with the help of multiplication of cosine function. For some particular region we collect finite number of the points to define the most economical function called cosine imprecise function passing very close to those points in the region. Further we define area formula of the Cosine imprecise functions in terms of membership functions and the reference functions into summation form. We also study the conversion points of the different imprecise functions.

Keywords

Cosine imprecise function, imprecise function, conversion point, imprecise number, polynomial function.

References

[1] KrahulaJ.K. and Polhemus J.F., Use of Fourier Series in the Finite Element Method, AIAA Journal, Vol. 6, No. 4 (1968), 726-728.
[2] Attinger E.O., Anné A. and McDonald D.A., Use of Fourier Series for the Analysis of Biological Systems,The Biophysical Society. Published by Elsevier Inc., Vol. 6, No.3 (1966), 291–304.
[3] Akima A., A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures,Journal of the ACM,Vol. 17, No. 4 (1970), 589-602.
[4] ZhuC. and Paul F.W., A Fourier Series Neural Network and Its Application to System Identification,J. Dyn. Sys., Meas., Control Vol.117, No.3 (1995), 253-261.
[5] Cheng C.H., A new Approach to Ranking Fuzzy Numbers by Distance Method, Fuzzy Sets and Systems, Vol. 95 (1998), 307-317.
[6] Ekpenyong E.J., Omekara C.O., Application of Fourier Series Analysis To Temperature Data, Global Journal of Mathematical Sciences Vol. 7, No.1( 2008), 5-14.
[7] Toutounian F. andAtaei A., A New Method for Computing Moore-Penrose Inverse Matrices,Journal of Computational and Applied Mathematics,Vol. 228, No. 1 (2009) , 412-417.
[8] Kahm M., Fitting Biological Growth Curves with R, Journal of Statistical Software, Vol. 33, No.7 (2010).
[9] Baruah H.K., Theory of Fuzzy Sets: Beliefs and Realities, I.J. Energy Information and Communications. Vol.2, No.2 (2011), 1-22.
[10] Baruah H.K., Construction of Membership Function of a Fuzzy Number, ICIC Express Letters, Vol. 5, No.2 (2011), 545-549.
[11] Abbasian M., Yazdi H.S., and Mazloom A.V., Kernel Machine Based Fourier Series, I. J. of Advanced Science and Technology Vol. 33 (2011).
[12] Baruah H.K., An introduction to the theory of imprecise Sets: The Mathematics of Partial Presence, J. Math. Computer Science, Vol. 2, No.2 (2012), 110-124.
[13] NeogT.J. and Sut D.K., An Introduction to the Theory of Imprecise Soft Sets, I.J. Intelligent Systems and Applications, Vol.11 (2012), 75-83.
[14] Narayanamoorthy S.,Saranya S., and Maheswari S.,A Method for Solving Fuzzy Transportation Problem (FTP) using Fuzzy Russell's Method, I.J. Intelligent Systems and Applications, Vol. 2 (2013), 71-75.
[15] Borgoyary S., A Few Applications of Imprecise Numbers, I.J. Intelligent Systems and Applications, Vol. 7, No.8 (2015), 9-17.
[16] Borgoyary S., An Introduction of Two and Three Dimensional Imprecise Numbers, I.J. Information Engineering and Electronic Business, Vol.7, No.5 (2015), 27-38.
[17] BorgoyaryS. andSingh K.P, Rate of Convergence of the Sine Imprecise Functions, I.J. Intelligent Systems and Applications,Vol. 8 No. 10(2016), 31-43.
[18] Basumatary B., Borgoyary B., Singh K.P. and Baruah H.K., 2017,”Towards Forming the Field of Fuzzy Boundary on the Basis reference Function”, Global Journal of Pure and Applied Mathematics, Vol. 13, no. 6, pp.2703-2716.
[19] Borgoyary S. and Singh K.P, Rate of Convergence of the Cosine Imprecise Functions, Advances in Computational Sciences and Technology, Vol.10, no.7 (2017) pp. 2019-2036.
[13] B. Srinivas and B. Sankararao, An Optimal Solution For intuitionistic Fuzzy Assignment Problem Using Genetic Algorithm, I. J. Mathematics Trends and Technology, Vol. 41 no.5(2017), pp:443-436.