Properties of Fuzzy Soft Matrices

S. Ruban Raj; M. Saradha

doi:https://doi.org/10.14445/22315373/IJMTT-V8P511

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 8 | Number 2 | Year 2014 | Article Id. IJMTT-V8P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V8P511

Properties of Fuzzy Soft Matrices

S. Ruban Raj, M. Saradha

Citation :

S. Ruban Raj, M. Saradha, "Properties of Fuzzy Soft Matrices," International Journal of Mathematics Trends and Technology (IJMTT), vol. 8, no. 2, pp. 74-82, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V8P511

Abstract

The concept of soft set is one of the recent topics developed for dealing with the uncertainties present in most of our real life situations. The parameterization tools of soft set theory enhance the flexibility of its applications. In this work, we give definition of fuzzy soft matrix, and their properties and examples. We further give the definition of Cardinality of a fuzzy soft matrix and Degree of Sub matrix hood of fuzzy soft matrix with examples.

Keywords

Soft Set, Fuzzy Soft Set, Fuzzy Soft Class, Fuzzy soft matrix, Cardinality of a fuzzy soft matrix, Degree of Sub matrix hood.

References

[1] Zadeh, L. A., “Fuzzy Sets”, Information and Control, 8, pp. 338-353, 1965.
[2] Molodstov. D.A., “Soft Set Theory – First Result”, Computers and Mathematics with Applications, Vol. 37, pp. 19-31, 1999.
[3] Ahmad, B. and Kharal, A., “Mappings on Soft Classes” (Originally Submitted on 17th oct, 2008 to Information Sciences with the title of “Mappings on Soft Sets” and was given MS#INS-D-08-1231 by EES.
[4] Ali, M. Irfan, Feng F, Liu, X., Min, W.K. Shabir, M. “On some new opereations in soft set theory”, Computers and Mathematics with Applications 57 (2009) 1547-1553.
[5] Chen, D., Tsang, E.C.C., Yeung, D.S. and Wang, X., “The Parameterization reduction of soft sets and its applications”, Computers and Mathematics with Applications 49 (2005) 757-763.
[6] Maji, P. K., Biswas .R, and Roy, A. R., “Soft Set Theory”, Computers and Mathematics with Applications 45, pp. 555-562, 2003.
[7] Pei, D. and Miao, D. “From Soft Sets to Information Systems”, in Proceedings of the IEEE International Conference on Granular Computing, vol. 2, pp. 617-621, 2005.
[8] T.J. Neog and D.K. Sut, “A New Approach to the Theory of Soft Sets”, in International Journal of Computer Applications, vol. 32, No 2, October 2011.
[9] Cagman, N. & Enginoglu, S., “Computers & Mathematics with Applications”, 2010, 59 3308-3314.
[10] Ruban Raj, S. & Saradha, M., “Properties of Fuzzy Soft Set” in International Journal for Basic Sciences and Social Sciences (IJBSS), 2(1), 2013, 112-118.
[11] Chetia, B., & Das, P.K., “Journal of the Assam Academy of Mathematics, 2010,2,71-83.