In this paper, we propose soft decision making methods based on fuzzy and soft set theory. We also use matrix representation of the soft sets that is very useful for computations of the method. We finally present an example which shows that the method can be successfully applied to many problems that contain uncertainties.
MajiP.K., BiswasR. and RoyA.R., Soft set theory, Comput Math Appl45 (2003), 555–562.
29.
MajiP.K., RoyA.R. and BiswasR., An application of soft sets in a decision making problem, Comput Math Appl44 (2002), 1077–1083.
30.
MajumdarP. and SamantaS.K., Similarity measure of soft sets, New Math Nat Comput4/1 (2008), 1–12.
31.
MajumdarP. and SamantaS.K., Generalised fuzzy soft sets, Comput Math Appl59 (2010), 1425–1432.
32.
MukherjeeA. and ChakrabortyS.B., On intuitionistic fuzzy soft relations, Bull Kerala Math Assoc5/1 (2008), 35–42.
33.
MolodtsovD.A., Soft set theory-first results, Comput Math Appl37 (1999), 19–31.
34.
MolodtsovD.A., The description of a dependence with the help of soft sets, J Comput Sys Sc Int40/6 (2001), 977–984.
35.
MolodtsovD.A., The Theory of Soft Sets (in Russian), URSS Publishers, Moscow, 2004.
36.
MolodtsovD.A., LeonovV.Yu. and KovkovD.V., Soft sets sechnique and its application, Nechetkie Sistemi i Myakie Vychisleniya1/1 (2006), 8–39.
37.
MushrifM.M., SenguptaS. and RayA.K., Texture classification using a novel, soft-set theory based classification, algorithm, Lect Notes Comput Sci3851 (2006), 246–254.
38.
ParkC.H., JunY.B. and ÖztürkM.A., Soft WS-algebras, Commun Korean Math Soc23/3 (2008), 313–324.
39.
PawlakZ., Rough sets, Int J Comput Inform Sci11 (1982), 341–356.
40.
QinK. and HongiZ., On soft equality, J Comput Appl Math234 (2010), 1347–1355.
41.
RoyA.R. and MajiP.K., A fuzzy soft set theoretic approach to decision making problems, J Comput Appl Math203 (2007), 412–418.
42.
SomT., On the theory of soft sets, soft relation and fuzzy soft relation, Proc of the National Conference on Uncertainty: A Mathematical Approach, UAMA-06, Burdwan, 2006, pp. 1–9.
43.
XiaoZ., GongK., XiaS. and ZouY., Exclusive disjunctive soft sets, Comput Math Appl59 (2010), 2128–2137.
44.
XiaoZ., GongK. and ZouY., Acombined forecasting approach based on fuzzy soft sets, J Comput Appl Math228 (2009), 326–333.
45.
XiaoZ., LiY., ZhongB. and YangX., Research on synthetically evaluating method for business competitive capacity based on soft set, Stat Methods Med Res (2003), 52–54.
46.
XuW., MaJ., WangS. and HaoG., Vague soft sets and their properties, Comput Math Appl59 (2010), 787–794.
47.
YagerR.R., Multiple objective decision making using fuzzy sets, Int J Man Mach Stud9 (1977), 375–382.
48.
YaoB., LiuJ. and YanR., Fuzzy soft sets and soft fuzzy sets, in Proceeding of Fourth International Conference on Natural Computation, ICNC-08, 2008, Volume 6, pp. 252–255.
49.
ZadehL.A., Fuzzy sets, Inform and Control8 (1965), 338–353.
50.
ZhanJ. and JunY.B., Soft BL-algebras based on fuzzy sets, Comput Math Appl59 (2010), 2037–2046.
51.
ZimmermannH.-J., Fuzzy Set Theory and Its Applications, Kluwer Academic Publishers, 1993.
52.
ZouY. and XiaoZ., Data analysis approaches of soft sets under incomplete information, Knowl Base Syst21 (2008), 941–945.
