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
The week's pick
Responsive image
Implementation of Feature Selection Using Correlation Matrix in Python

Ahmad Farhan AlShammari
Random Articles
Reseach Article

On Some Parametric Generalized Measures of Fuzzy Information, Directed Divergence and Information Improvement

by Tanuj Kumar, Rakesh Kumar Bajaj, Nitin Gupta
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 30 - Number 9
Year of Publication: 2011
Authors: Tanuj Kumar, Rakesh Kumar Bajaj, Nitin Gupta
10.5120/3666-5185

Tanuj Kumar, Rakesh Kumar Bajaj, Nitin Gupta . On Some Parametric Generalized Measures of Fuzzy Information, Directed Divergence and Information Improvement. International Journal of Computer Applications. 30, 9 ( September 2011), 5-10. DOI=10.5120/3666-5185

@article{ 10.5120/3666-5185,
author = { Tanuj Kumar, Rakesh Kumar Bajaj, Nitin Gupta },
title = { On Some Parametric Generalized Measures of Fuzzy Information, Directed Divergence and Information Improvement },
journal = { International Journal of Computer Applications },
issue_date = { September 2011 },
volume = { 30 },
number = { 9 },
month = { September },
year = { 2011 },
issn = { 0975-8887 },
pages = { 5-10 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume30/number9/3666-5185/ },
doi = { 10.5120/3666-5185 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:16:37.424212+05:30
%A Tanuj Kumar
%A Rakesh Kumar Bajaj
%A Nitin Gupta
%T On Some Parametric Generalized Measures of Fuzzy Information, Directed Divergence and Information Improvement
%J International Journal of Computer Applications
%@ 0975-8887
%V 30
%N 9
%P 5-10
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In the present communication, we have introduced two new parametric generalizations of some existing measures of fuzzy information and two parametric directed divergence measures with the proof of their validity. We studied some measures of total ambiguity and new generalized measures of fuzzy information improvement. Further, particular cases of fuzzy entropy and directed divergence measures are also discussed.

References
  1. Zadeh, L.A. (1965). Fuzzy Sets, Information and Control, 8, 338 - 353.
  2. Kaufman, A. (1980). Fuzzy subsets: Fundamental Theoretical Elements, 3, Academic Press, New York.
  3. Shannon, C.E. (1948). The Mathematical theory of Communication, Bell Syst. Tech. Journal, 27, 423 -467.
  4. De Luca, A. and S. Termini (1972). A Definition of a Non-probabilistic Entropy in the Setting of fuzzy sets theory, Information and Control, 20, 301 - 312.
  5. Bhandari, D. and N.R. Pal (1993). Some new information measures for fuzzy sets. Information Science, 67, 204 - 228.
  6. Renyi, A. (1961). On measures of entropy and information, 4th Berkeley Symp. Math. Stat. Probab, 1, 547 - 561.
  7. Pal, N.R. and S.K. Pal (1989). Object background segmentation using new definition of entropy, Proc. Inst. Elec. Eng., 136, 284 – 295.
  8. Kapur, J.N. (1997). Measures of Fuzzy Information, Mathematical Science Trust Society, New Delhi.
  9. Harvda, J. H. and F. Charvat (1967). Quantification method of classification processes - concept of structural - entropy, Kybernetika, 3, 30 - 35.
  10. Boekee, D.E. and Lubbe, J.C.A. (1980). The R-norm information measures, Information and control, 45,136-155.
  11. Hooda, D.S. (2004). On Generalized Measures of Fuzzy Entropy, Mathematica Slovaca, 54, 315 - 325.
  12. Kullback, S. and R.A. Leibler (1951). On information and sufficiency, Ann. Math. Stat., 22, 79 - 86.
  13. Kullback, S. (1959). Information Theory and Statistics, Willey and Sons, New Delhi.
  14. Hooda, D.S. and Rakesh Kr Bajaj (2008). On Generalized R-norm Measures of Fuzzy Information, Journal of Applied Mathematics, Statistics and Informatics, 4(2), 199 – 212.
  15. Bajaj, Rakesh Kr and D.S. Hooda (2010). Generalized Measures of Fuzzy Directed Divergence, Total Ambiguity and Information Improvement. Journal of Applied Mathematics, Statistics and Informatics. 6 (2), 31- 44.
  16. Kerridge, D.E.F. (1961). Inaccuracy and inference, J. Royal Statist. Society, 23A, 184 - 194.
  17. Theil, H. (1967). Economics and information theory, North- Holland Publishing Co., Amesterdom.
Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy Sets Fuzzy information measure Fuzzy Directed Divergence Total ambiguity Fuzzy Information improvement measure

Powered by PhDFocusTM