Abstract

Here we present the concept of soft relations and fuzzy soft relations and then applied in a decision making problem. In approximate reasoning, fuzzy soft relations have shown to be of a primordial importance. Human judgements are often based on comparison between couples of faced data. D. Molodtsov gave definition of fuzzy soft relation. Afterwards A. Chaudhuri gave extended definition of fuzzy soft relation. Here we discuss the concept of soft relation and fuzzy soft relation and the definition of A. Chaudhuri in the simplified form as an algorithm and apply then in decision making problem taking a separate example.

Keywords

References

[1] Ahmad , B. and Kharal, A. , “On Fuzzy Soft Sets”, Advances in Fuzzy Systems, Volume 2009, pp. 1-6, 2009.
[2] D. Chen, E.C.C. Tsang, D.S. Yeung, X.Wang, The parameterization reduction of soft sets and its applications, Computers and Mathematics with Applications 49 (2005) 757-763.
[3] D. Pei, D. Miao, “From soft sets to information systems”, in Granular Computing, 2005, IEEE International Conference on, vol. 2, 617-621, doi 10.1109/GRC.2005.1547365
[4] Maji, P. K., Biswas, R. and Roy, A. R. “Fuzzy Soft Sets”, Journal of Fuzzy Mathematics, Vol 9, No. 3, pp. 589-602, 2001.
[5] Maji, P. K., Biswas, R. and Roy, A. R., “An application of soft sets in a decision making problem”, Computers and Mathematics with Applications 45 (2003) 555-562.
[6] Maji, P. K. and Roy, A. R., “Soft Set Theory”, Computers and Mathematics with Applications 45, pp. 555–562, 2003.
[7] Molodstov, D.A., “Soft Set Theory - First Result”, Computers and Mathematics with Applications, Vol. 37, pp. 19-31, 1999.
[8] Maji, P.K., Roy, A.R., and Biswas, R., “An Application of sets in a decision making problem”, Computers & Mathematics with Applications, Col. 44, No. 8-9, pp. 1077-1083, 2002.