Research Article
An Application of Fuzzy Soft Sets In Medical Diagnosis Using Fuzzy Soft Complement
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 33 - Issue 9 |
| Published: November 2011 |
| Authors: Tridiv Jyoti Neog, Dusmanta Kumar Sut |
10.5120/4051-5815
|
Tridiv Jyoti Neog, Dusmanta Kumar Sut . An Application of Fuzzy Soft Sets In Medical Diagnosis Using Fuzzy Soft Complement. International Journal of Computer Applications. 33, 9 (November 2011), 30-33. DOI=10.5120/4051-5815
@article{ 10.5120/4051-5815,
author = { Tridiv Jyoti Neog,Dusmanta Kumar Sut },
title = { An Application of Fuzzy Soft Sets In Medical Diagnosis Using Fuzzy Soft Complement },
journal = { International Journal of Computer Applications },
year = { 2011 },
volume = { 33 },
number = { 9 },
pages = { 30-33 },
doi = { 10.5120/4051-5815 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2011
%A Tridiv Jyoti Neog
%A Dusmanta Kumar Sut
%T An Application of Fuzzy Soft Sets In Medical Diagnosis Using Fuzzy Soft Complement%T
%J International Journal of Computer Applications
%V 33
%N 9
%P 30-33
%R 10.5120/4051-5815
%I Foundation of Computer Science (FCS), NY, USA
Abstract
For the complement of a fuzzy soft set as initiated by Maji, the set theoretic axioms of contradiction and exclusion are not valid. In this context, Neog and Sut have reintroduced the notion of complement of a fuzzy soft set and showed that all the properties of complement of a set in classical sense are satisfied by fuzzy soft sets also according to the proposed definition of complement. In this paper we introduce a matrix representation of fuzzy soft set and extend Sanchez’s approach for medical diagnosis using our notion of fuzzy soft complement.
References
- Ahmad , B. and Kharal, A. , “On Fuzzy Soft Sets”, Advances in Fuzzy Systems, Volume 2009, pp. 1-6, 2009.
- Baruah, H. K. “Towards Forming A Field Of Fuzzy Sets”, International Journal of Energy, Information and Communications, Vol. 2, Issue 1, pp. 16-20, February 2011.
- Baruah, H. K. “The Theory of Fuzzy Sets: Beliefs and Realities”, International Journal of Energy, Information and Communications, Vol. 2, Issue 2, pp. 1-22, May 2011.
- Chetia, B., and Das, P. K. (2010). “An Application of Interval valued fuzzy soft set in medical diagnosis”, Int.J.contempt. math., sciences, vol. 5, 38, 1887 - 1894.
- De, S. K., Biswas, R., and Roy, A.R. (2001). “An Application of Intuitionistic fuzzy sets in medical diagnosis”, Fuzzy Sets and Systems, 117, 209 213.
- Maji, P. K., Biswas, R. and Roy, A. R. “Fuzzy Soft Sets”, Journal of Fuzzy Mathematics, Vol 9, No. 3, pp. 589-602, 2001
- Meenakshi , A. R. and Kaliraja , M. “An Application of Interval Valued Fuzzy Matrices in Medical Diagnosis”, Int. Journal of Math. Analysis, Vol. 5, 2011, no. 36, 1791 - 1802
- Molodstov, D.A., “Soft Set Theory - First Result”, Computers and Mathematics with Applications, Vol. 37, pp. 19-31, 1999
- Neog, T. J. and Sut, D. K. , “Theory of Fuzzy Soft Sets From a New Perspective”, International Journal of Latest Trends in Computing, Vol. 2, No. 3 September 2011, pp. 439 - 450
- Saikia, B.K., Das, P. K., and Borkakati, A.K.(2003). “An Application of Intuitionistic fuzzy soft sets in medical diagnosis”, Bio Science Research Bulletin, 19(2), 121-127.
- Sanchez, E. (1976). “Resolution of composite fuzzy relation equations, Information and control”, 30, 38 - 48.
- Sanchez, E. (1979). “Inverse of fuzzy relations, application to possibility distributions and medical diagnosis”, Fuzzy sets and Systems, 2 (1), 7586.
- Zadeh, L. A. “Fuzzy Sets”, Information and Control, 8, pp. 338-353, 1965.
Index Terms
Keywords