Fourier analysis is one of the powerful tool for many problems. In the present paper, we have defined the membership function for the closed interval which helps us in time frequency analysis. The Fourier series periodic function for Pentadecagonal fuzzy number is defined and it found to be symmetric. The reverse order pentadecagonal fuzzy number for fourier series fuzzy valued function is also defined and it is found to be symmetric

Topics
Time-frequency analysis, Fourier analysis
1.
Irina
 
Perfilieva
 and
Petra
 
Hod'áková
,
"Fuzzy and Fourier Transform"
,
Aix-les-Bain
.
France
,
2011
.
Google Scholar
Crossref
Search ADS
 
2.
N. Ruth
 
Naveena
,
A.
 
Rajkumar
, "
Pentadecagonal Fuzzy Number [PoFN] and Its Arithmetic Operations Using Alpha Cut
".
Journal of Computational and Theoretical Nanoscience.
 
15
,
3412
–
3417
(
2018
)
Google Scholar
Crossref
Search ADS
 
3.
Rajkumar
,
N. Ruth
 
Naveena
, "
Intuitionistic Pentadecagonal Fuzzy Number to Analyze the Fault Rate of a Computer System
",
International Journal of Pure and Applied Mathesmatics
 
119
(
13
):
271
–
279
, (
2018
) ISSN: (on-line version)
Google Scholar
 
4.
N. Ruth
 
Naveena
,
A.
 
Rajkumar
: "A New Reverse Order Pentadecagonal, Nanogonal and Decagonal Fuzzy Number with Arithmetic Operations" in
International Journal of Recent Technology and Engineering (IJRTE)
ISSN: , Volume-
8
Issue-
3
, pp.
7937
–
7943
September
2019
Google Scholar
 
5.
Hugh L.
 
Montgomery
, "Early Fourier Analysis, Pure and Applied text book".
American Mathematical Society
,
2014
.
6.
Ugur
 
Kadak
 and
Feyzi
 
Basar
, "
On Fourier Series of Fuzzy-valued functions
".
The scientific World Journal
, vol.
14
,
2014
.
Google Scholar
 
7.
T.
 
Pathinathan
 and
K.
 
Ponnivalavan
,
"Reverse order Triangular, Trapezoidal and Pentagonal Fuzzy numbers". The Annals of Pure and Applied Mathematics
, vol.
9
, no.
1
, pp.
107
–
117
,
2015
.
Google Scholar
 
This content is only available via PDF.
© 2020 Author(s).
2020
Author(s)
You do not currently have access to this content.