In this paper, we define fuzzy soft matrices and study their basic properties. We then define products of fuzzy soft matrices that satisfy commutative law and present a decision making method. This method can solve decision making problems which consider many observers’ views. We finally offer some examples to show that the presented method is more reasonable and reliable in solving practical problems.


Soft sets Fuzzy soft sets Fuzzy soft matrices Products of fuzzy soft matrices Decision making 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Molodtsov, D.A.: Soft set theory-first results. Computers and Mathematics with Applications 37, 19–31 (1999)MathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    Maji, P.K., Biswas, R., Roy, A.R.: Fuzzy soft sets. Journal of Fuzzy Mathematics 9(3), 589–602 (2001)MathSciNetMATHGoogle Scholar
  3. 3.
    Aktas, H., Cagman, N.: Soft sets and soft groups. Information Sciences 177, 2726–2735 (2007)MathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    Roy, A.R., Maji, P.K.: A fuzzy soft set theoretic approach to decision making problems. Journal of Computational and Applied Mathematics 203, 412–418 (2007)CrossRefMATHGoogle Scholar
  5. 5.
    Yang, X., Yu, D., Yang, J., Wu, C.: Generalization of soft set theory: from crisp to fuzzy case. In: Cao, B.-Y. (ed.) Fuzzy Information and Engineering: Proceedings of ICFIE-2007: Advances in Soft Computing, vol. 40, pp. 345–355. Springer, Heidelberg (2007)Google Scholar
  6. 6.
    Majumdar, P., Samanta, S.K.: Similarity measure of soft sets. New Mathematics and Natural Computation 4(1), 1–12 (2008)MathSciNetCrossRefMATHGoogle Scholar
  7. 7.
    Xiao, Z., Gong, K., Zou, Y.: A combined forecasting approach based on fuzzy soft sets. Journal of Computational and Applied Mathematics 228, 326–333 (2009)MathSciNetCrossRefMATHGoogle Scholar
  8. 8.
    Cagman, N., Enginoglu, S.: Soft matrix theory and its decision making. Computers and Mathematics with Applications 59(10), 3308–3314 (2010)MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Yong Yang
    • 1
  • Chenli Ji
    • 1
  1. 1.College of Mathematics and Information ScienceNorthwest Normal UniversityLanzhouChina

Personalised recommendations