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An Application of Generalized Interval-Valued Intuitionistic Fuzzy Soft Sets in a Decision Making Problem

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Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 125))

Abstract

We present a method of object recognition from an imprecise multiobserver data, which extends the work of Roy and Maji [11] to generalized interval-valued intuitionistic fuzzy soft set theory. The method involves the construction of Comparison Table from a generalized intuitionistic fuzzy soft set in a parametric sense for decision making.

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References

  1. Varadhan, S.R.S.: Probability Theory. American Mathematical Society (2001)

    Google Scholar 

  2. Zadeh, L.A.: Fuzzy sets. Inform Control 8, 338–353 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  3. Zadeh, L.A.: Is there a need for fuzzy logic. Information Sciences 178, 2751–2779 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  4. Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20, 87–96 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  5. Gau, W.L., Buehrer, D.J.: Vague sets. IEEE Transactions on Systems, Man and Cybernetics 23, 610–614 (1993)

    Article  MATH  Google Scholar 

  6. Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers (1991)

    Google Scholar 

  7. Molodtsov, D.: Soft set theory - first results. Computers and Mathematics with Applications 37, 19–31 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  8. Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Computers and Mathematics with Applications 45, 555–562 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  9. Maji, P.K., Biswas, R., Roy, A.R.: Fuzzy soft sets. Journal of Fuzzy Mathematics 9, 589–602 (2001)

    MathSciNet  MATH  Google Scholar 

  10. 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)

    Article  MATH  Google Scholar 

  11. Maji, P.K., Biswas, R., Roy, A.R.: Intuitionistic fuzzy soft sets. Journal of Fuzzy Mathematics 9, 677–692 (2001)

    MathSciNet  MATH  Google Scholar 

  12. Maji, P.K., Roy, A.R., Biswas, R.: On intuitionistic fuzzy soft sets. Journal of Fuzzy Mathematics 12, 669–683 (2004)

    MathSciNet  MATH  Google Scholar 

  13. Xu, W., Ma, J., Wang, S., Hao, G.: Vague soft sets and their properties. Computers and Mathematics with Applications 59, 787–794 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  14. Min, W.K.: Interval-valued intuitionistic fuzzy soft sets. Journal of Fuzzy Logic and Intelligent Systems 18, 316–322 (2008)

    Article  Google Scholar 

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© 2012 Springer-Verlag GmbH Berlin Heidelberg

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Kwun, Y.C., Park, J.H., Koo, J.H., Lee, Y.K. (2012). An Application of Generalized Interval-Valued Intuitionistic Fuzzy Soft Sets in a Decision Making Problem. In: Zhang, T. (eds) Mechanical Engineering and Technology. Advances in Intelligent and Soft Computing, vol 125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27329-2_27

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  • DOI: https://doi.org/10.1007/978-3-642-27329-2_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27328-5

  • Online ISBN: 978-3-642-27329-2

  • eBook Packages: EngineeringEngineering (R0)

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