CFP last date
20 January 2025
Call for Paper
February Edition
IJCA solicits high quality original research papers for the upcoming February edition of the journal. The last date of research paper submission is 20 January 2025

Submit your paper
Know more
Reseach Article

Analysis of the Algorithm for the New Architecture of SFARTMAP based on the Extended Definition of Complementation of Fuzzy Set

by Pranamika Kakati
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 101 - Number 15
Year of Publication: 2014
Authors: Pranamika Kakati
10.5120/17764-8881

Pranamika Kakati . Analysis of the Algorithm for the New Architecture of SFARTMAP based on the Extended Definition of Complementation of Fuzzy Set. International Journal of Computer Applications. 101, 15 ( September 2014), 24-30. DOI=10.5120/17764-8881

@article{ 10.5120/17764-8881,
author = { Pranamika Kakati },
title = { Analysis of the Algorithm for the New Architecture of SFARTMAP based on the Extended Definition of Complementation of Fuzzy Set },
journal = { International Journal of Computer Applications },
issue_date = { September 2014 },
volume = { 101 },
number = { 15 },
month = { September },
year = { 2014 },
issn = { 0975-8887 },
pages = { 24-30 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume101/number15/17764-8881/ },
doi = { 10.5120/17764-8881 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:31:44.602902+05:30
%A Pranamika Kakati
%T Analysis of the Algorithm for the New Architecture of SFARTMAP based on the Extended Definition of Complementation of Fuzzy Set
%J International Journal of Computer Applications
%@ 0975-8887
%V 101
%N 15
%P 24-30
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This article analyses the algorithm for the new architecture of SFARTMAP based on the extended definition of complementation of Fuzzy set. The extended definition of complementation of Fuzzy set is based on the fact that Fuzzy membership function and Fuzzy membership value for the complement of a Fuzzy set are two different things. In this paper, the analysis of the algorithm is carried out using Big O notation to find the order of growth for it.

References
  1. L. A. Zadeh, " Fuzzy Sets" , Information and Control, 8, pp. 338-353, 1965.
  2. Hemanta K. Baruah, "Towards Forming A Field Of Fuzzy Sets" International Journal of Energy, Information and Communications, Vol. 2, Issue 1, pp. 16-20, February 2011.
  3. Hemanta K. Baruah, "The Theory of Fuzzy Sets: Beliefs and Realities", International Journal of Energy, Information and Communications, Vol. 2, Issue 2,pp. 1-22, May,2011.
  4. Tridiv Jyoti Neog , Dusmanta Kumar Sut, "Theory of Fuzzy Soft Sets from a New Perspective", International Journal of Latest Trends in Computing, Vol. 2, No 3, September,2011.
  5. Eulalia Szmidt, Janusz Kacprzyk, "Medical Diagnostic Reasoning Using a Similarity Measure for Intuitionistic Fuzzy Sets" Eighth Int. Conf. on IFSs, Varna, 20-21 June 2004, NIFS Vol. 10 (2004), 4, 61-69.
  6. Hong-mei Ju , Feng-Ying Wang , "A Similarity Measure for Interval –valued Fuzzy Sets and Its Application in Supporting Medical Diagnostic Reasoning", The Tenth International Symposium on Operation Research and Its Applications(ISORA 2011), Dunhuang, China, August 28-31, 2011.
  7. Szmidt E. , Kacprzyk J. (2001), "Entropy for intuitionistic Fuzzy sets". Fuzzy Sets and Systems, vol. 118, No. 3, pp. 467-477.
  8. Hongmei Ju (2008). "Entropy for Interval-valued Fuzzy Sets",Fuzzy information and engineering, Volume 1,358-366.
  9. Kasuba , Tom(1993), Simplified Fuzzy ARTMAP, AI Expert, November, pp. 18-25.
  10. Pranamika Kakati (2013). "A Study on Similarity Measure for Fuzzy Sets" International Journal of Advanced Research in Computer Science and Softaware Engineering, vol. 3 Issue 8, pp. 97-103, August 2013.
  11. Pranamika Kakati (2013) "A New Similarity Measure for Fuzzy Sets with the Extended Definition of Complementation"International Journal of Soft Computing and Engineering, Volume 3 Issue 4, pp. 203-207, September, 2013.
  12. Pranamika Kakati (2013) "A Note on the New Similarity Measure for Fuzzy sets" International Journal of Computer Applications Technology and Research, Volume 2 Issue 5, pp. 601-605, September-October, 2013.
  13. Pranamika Kakati (2013) "The New Similarity Measure for Fuzzy Sets and Its application to Medical Diagnostic Reasoning" International Journal of Computer Application, Volume 80- No 15, pp. 13-17, October 2013.
  14. Pranamika Kakati (2013) "A New Architecture of Simplified Fuzzy ARTMAP with the Extended Definition of Complementation" International Journal of Computer Technology and Applications, Volume 4 Issue 5, pp. 772-784, September-October, 2013.
  15. Pranamika Kakati, Hemanta K. Baruah (2013) "The New Architecture of Simplified Fuzzy ARTMAP for Supporting Medical Diagnostic Reasoning" International Journal of Computer Application, Volume 81- No 17, pp. 16-19, November 2013.
Index Terms

Computer Science
Information Sciences

Keywords

Complement of a Fuzzy set Fuzzy membership function Fuzzy membership value Fuzzy reference function Fuzzy set Simplified Fuzzy ARTMAP.