Full Paper View Go Back

A New Operation on Sinusoidal Fuzzy Number

R. Karthika1 , A. Sahaya Sudha2

Section:Research Paper, Product Type: Journal-Paper
Vol.6 , Issue.4 , pp.104-107, Aug-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i4.104107


Online published on Aug 31, 2019


Copyright © R. Karthika, A. Sahaya Sudha . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library


XML View     PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: R. Karthika, A. Sahaya Sudha, “A New Operation on Sinusoidal Fuzzy Number,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.4, pp.104-107, 2019.

MLA Style Citation: R. Karthika, A. Sahaya Sudha "A New Operation on Sinusoidal Fuzzy Number." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.4 (2019): 104-107.

APA Style Citation: R. Karthika, A. Sahaya Sudha, (2019). A New Operation on Sinusoidal Fuzzy Number. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(4), 104-107.

BibTex Style Citation:
@article{Karthika_2019,
author = {R. Karthika, A. Sahaya Sudha},
title = {A New Operation on Sinusoidal Fuzzy Number},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2019},
volume = {6},
Issue = {4},
month = {8},
year = {2019},
issn = {2347-2693},
pages = {104-107},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1439},
doi = {https://doi.org/10.26438/ijcse/v6i4.104107}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i4.104107}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1439
TI - A New Operation on Sinusoidal Fuzzy Number
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - R. Karthika, A. Sahaya Sudha
PY - 2019
DA - 2019/08/31
PB - IJCSE, Indore, INDIA
SP - 104-107
IS - 4
VL - 6
SN - 2347-2693
ER -

474 Views    241 Downloads    101 Downloads
  
  

Abstract :
Fuzzy numbers exists in many fields such as Management, agriculture, Medicine, Engineering etc. In this paper a new operation on sinusoidal fuzzy number has been defined and introduced. In addition to it, this paper also deals with the study of new basic alpha cut operations on addition, subtraction and multiplication of sinusoidal fuzzy number with the suitable numerical examples.

Key-Words / Index Term :
Fuzzy arithmetic, Sinusoidal Fuzzy number

References :
[1] Abhinav Bansal (2011), “Trapezoidal Fuzzy numbers (a, b, c, d): Arithmetic behavior”, International Journal of Physical and Mathematical Sciences, ISSN-2010-1791.
[2] Bansal, A., (2010),” Some nonlinear arithmetic operations on triangular fuzzy numbers (m, ”, Advances in fuzzy mathematics, 5,147-156.
[3] DuBois and Prade.H, (1978), “Operations on fuzzy numbers”, International Journal of Systems Science, vol.9, no.6., pp.613-626.
[4] Dwyer., (1965), P.S. “Fuzzy sets. Information and Control” l, No.8: 338–353.
[5] Fuller.R and Majlender.P., (2003), “On weighted possibilistic mean and variance of fuzzy numbers”, Fuzzy Sets and Systems, vol.136, pp.363-374
[6] Feng.H, Su. P and Zhang.L, (2014),” Design and Analysis of tubular permanent magnet lines wave generator”, The Scientific world journal, Article ID-258109, pages 7
[7] Heilpern.S., (1997), “Representation and application of fuzzy numbers”, Fuzzy sets and Systems, vol.91, no.2, pp.259-268.
[8] Klaua.D., (1965),” Über einen Ansatz zur mehrwertigen Mengenlehre. Monatsb. Deutsch”. Akad. Wiss. Berlin 7, 859–876
[9] Klir.G.J., (2000), Fuzzy Sets: “An Overview of Fundamentals, Applications, and Personal views”. Beijing Normal University Press, pp.44-49.
[10] Klir., (1997) “Fuzzy arithmetic with requisite constraints”, Fuzzy Sets System, vol. 91, pp. 165–175.
[11] Kauffmann, A., (1980) Gupta, M., “Introduction to Fuzzy Arithmetic: Theory and Applications”, Van Nostrand Reinhold, New York.
[12] Malini.S. U, Felbin.C. Kennedy., (2013), “An approach for solving Fuzzy Transportation using Octagonal Fuzzy numbers,” Applied Mathematical Sciences, no.54,2661-2673
[13] Nasseri.H(2008),” Positive and non-negative”, International Mathematical Forum,3,1777-1780.
[14] Pandey.R, Pandey N and Paul et al.S.K., (2013),” Voltage mode astable multivibrator using single CDBA”, ISRN Electronics, Article ID-390160, pages 8.
[15] Rezvani.S., (2011).,” Multiplication Operation on Trapezoidal Fuzzy numbers”, Journal of Physical Sciences, Vol no-15,17-26
[16] Sun. Q & Song. Q, (2009), “Portable signal generator based on direct digital synthesis”, Instrumental Technique and sensor, vol—4, no-4, pp.67-70
[17] Sun.Y, Liu.J.Lu. S & Ben.H, (2012), “Design of sinusoidal signal generator based on AD9833 & Potentiometer”, Electrical Measurement and Instrumentation, Vol-7, pp.93-96.
[18] Yager.R., (1979),” On Solving Fuzzy Mathematical relationships”, Information control,41,29-55.
[19] Zadeh, L.A., (1965),” Fuzzy Sets”, Information and Control., No.8 pp.338-353.
[20] Zadeh., (1978),” Fuzzy set as a basis for a theory of possibility”, Fuzzy sets and systems, No.1, pp.3-28.
[21] Zimmermann, H. J, (1996),” Fuzzy Set Theory and its Applications”, Third Edition, Kluwer Academic Publishers, Boston, Massachusetts.
[22]. Zhang. G, (2014), “Research of DDS-based high precision multi-channel signal generations systems”, Electronic Measurement Technology, Vol-37, no 4, pp.125-129.

Authorization Required

 

You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at  support@isroset.org or view contact page for more details.

Go to Navigation