Application of Fuzzy Soft Multi Sets in Decision-Making Problems

Conference paper
Part of the Smart Innovation, Systems and Technologies book series (SIST, volume 43)


Alkhazaleh and Salleh presented a fuzzy soft multi set theoretic approach to solve decision-making problems using the Roy-Maji Algorithm, which has some limitations. In this research work, we have proposed an algorithm to solve fuzzy soft multi set based decision making problems using the Feng’s algorithm, which is more stable and more feasible than the Alkhazaleh–Salleh Algorithm. The feasibility of our proposed algorithm in practical applications is illustrated by a numerical example.


Decision making Soft set Level soft set Fuzzy soft set Fuzzy soft multi set Fuzzy soft multi set part 


  1. 1.
    Alhazaymeh, K., Hassan, N.: Vague soft multiset theory. Int. J. Pure Appl. Math. 93, 511–523 (2014)MATHGoogle Scholar
  2. 2.
    Ali, M.I., Feng, F., Liu, X., Min, W.K., Shabir, M.: On some new operations in soft set theory. Comput. Math Appl. 57, 1547–1553 (2009)MATHMathSciNetCrossRefGoogle Scholar
  3. 3.
    Alkhazaleh, S., Salleh, A.R.: Fuzzy soft multi sets theory. abstract and applied analysis, vol. 2012, Article ID 350603, 20 p, Hindawi Publishing Corporation (2012). doi: 10.1155/2012/350603
  4. 4.
    Alkhazaleh, S., Salleh, A.R., Hassan, N.: Soft multi sets theory. Appl. Math. Sci. 5, 3561–3573 (2011)MATHMathSciNetGoogle Scholar
  5. 5.
    Babitha, K.V., John, S.J.: On soft multi sets. Ann. Fuzzy Math. Inf. 5, 35–44 (2013)MATHMathSciNetGoogle Scholar
  6. 6.
    Balami, H.M., Ibrahim, A.M.: Soft multiset and its application in information system. Int. J. Scientific Res. Manag. 1, 471–482 (2013)Google Scholar
  7. 7.
    Feng, F., Jun, Y.B., Liu, X., Li, L.: An adjustable approach to fuzzy soft set based decision making. J. Comput. Appl. Math. 234, 10–20 (2010)MATHMathSciNetCrossRefGoogle Scholar
  8. 8.
    Kong, Z., Gao, L.Q., Wang, L.F.: Comment on A fuzzy soft set theoretic approach to decision making problems. J. Comput. Appl. Math. 223, 540–542 (2009)MATHCrossRefGoogle Scholar
  9. 9.
    Maji, P.K., Biswas, R., Roy, A.R.: Fuzzy soft sets. J. Fuzzy Math. 9, 589–602 (2001)MATHMathSciNetGoogle Scholar
  10. 10.
    Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Comput. Math Appl. 45, 555–562 (2003)MATHMathSciNetCrossRefGoogle Scholar
  11. 11.
    Maji, P.K., Roy, A.R., Biswas, R.: An application of soft sets in a decision making problem. Comput. Math Appl. 44, 1077–1083 (2002)MATHMathSciNetCrossRefGoogle Scholar
  12. 12.
    Molodtsov, D.: Soft set theory-first results. Comput. Math Appl. 37, 19–31 (1999)MATHMathSciNetCrossRefGoogle Scholar
  13. 13.
    Roy, A.R., Maji, P.K.: A fuzzy soft set theoretic approach to decision making problems. J. Comput. Appl. Math. 203, 412–418 (2007)MATHCrossRefGoogle Scholar
  14. 14.
    Tokat, D., Osmanoglu, I.: Soft multi set and soft multi topology. Nevsehir Universitesi Fen Bilimleri Enstitusu Dergisi Cilt. 2 (2011) 109–118Google Scholar
  15. 15.
    Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)MATHMathSciNetCrossRefGoogle Scholar

Copyright information

© Springer India 2016

Authors and Affiliations

  1. 1.Department of MathematicsTripura UniversityAgartalaIndia
  2. 2.Department of MathematicsIswar Chandra Vidyasagar CollegeBeloniaIndia

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