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A New Approach to Interval-Valued Fuzzy Soft Sets and Its Application in Decision-Making

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Advances in Computational Intelligence (ICCI 2015)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 509))

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Abstract

Soft set (SS) theory was introduced by Molodtsov to handle uncertainty. It uses a family of subsets associated with each parameter. Hybrid models have been found to be more useful than the individual components. Earlier interval-valued fuzzy set (IVFS) was introduced as an extension of fuzzy set (FS) by Zadeh. Yang introduced the concept of IVFSS by combining and soft set models. Here, we define IVFSS through the membership function approach to define soft set by Tripathy et al. very recently. Several concepts, such as complement of an IVFSS, null IVFSS, absolute IVFSS, intersection, and union of two IVFSSs, are redefined. To illustrate the application of IVFSSs, a decision-making (DM) algorithm using this notion is proposed and illustrated through an example.

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References

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

    Google Scholar 

  2. Molodtsov, D.: Soft set theory—first results. Comput. Math Appl. 37, 19–31 (1999)

    Google Scholar 

  3. Maji, P.K., Biswas, R., Roy, A.R: An application of soft sets in a decision making problem. Comput. Math. Appl. 44, 1007−1083 (2002)

    Google Scholar 

  4. Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Comput. Math Appl. 45, 555–562 (2003)

    Google Scholar 

  5. Maji, P.K., Biswas, R., Roy, A.R.: Fuzzy Soft Sets. J. Fuzzy Math. 9(3), 589–602 (2001)

    Google Scholar 

  6. Tripathy, B.K., Arun, K.R.: A new approach to soft sets soft multisets and their properties. Int. J. Reason.-based Intell. Syst. 7(3), 244–253 (2015)

    Google Scholar 

  7. Sooraj, T.R., Mohanty, R.K., Tripathy, B.K.: Fuzzy soft set theory and its application in group decision making. In: Advanced Computing and Communication Technologies. Advances in Intelligent Systems and Computing, vol. 452, pp.171−178 (2015)

    Google Scholar 

  8. Tripathy, B.K., Sooraj, T.R., Mohanty, R.K.: A new approach to fuzzy soft set theory and its application in decision making. In: Computational Intelligence in Data Mining—Volume 2, pp. 305–313 (2016)

    Google Scholar 

  9. Mohanty, R.K., Sooraj, T.R., Tripathy, B.K.: An Application of IVIFSS in medical diagnosis decision making. Int. J. Appl. Eng. Res. (IJAER) 10(92), 85–93 (2015)

    Google Scholar 

  10. Mohanty, R.K., Sooraj, T.R., Tripathy, B.K.: IVIFSS and decision making. In: Proceedings of ICDECT-2016. Springer (2016)

    Google Scholar 

  11. Tripathy, B.K., Mohanty, R.K., Sooraj, T.R., Arun, K.R.: A new approach to intuitionistic fuzzy soft sets and their application in decision making. Adv. Intell. Syst. Comput. 439, 93–100 Springer (2016)

    Google Scholar 

  12. Tripathy, B.K., Mohanty, R.K., Sooraj, T.R., Tripathy, A.: A modified representation of IFSS and its usage in GDM. In: Smart Innovation, Systems and Technologies, vol. 50, pp. 365−375 (2016)

    Google Scholar 

  13. Tripathy, B.K., Mohanty, R.K., Sooraj, T.R.: On intuitionistic fuzzy soft sets and their application in decision making. In: Proceedings of ICSNCS-2016, NewDelhi (2016)

    Google Scholar 

  14. Tripathy, B.K., Mohanty, R.K., Sooraj, T.R.: On intuitionistic fuzzy soft set and its application in group decision making. In: Proceedings of ICETETS-2016, Thanjavur (2016)

    Google Scholar 

  15. Yang, X.B., Lin, T.Y., Yang, J.Y., Li, Y., Yu, D.: Combination of interval-valued fuzzy set and soft set. Comput. Math Appl. 58(3), 521–527 (2009)

    Google Scholar 

  16. Tripathy, B.K., Sooraj, T.R., Mohanty, R.K.: A new approach to interval-valued fuzzy soft sets and its application in group decision making. In: proceedings of CDCS-2015, Kochi (2015)

    Google Scholar 

  17. Tripathy, B.K., Panigrahi, A.: Interval-valued intuitionistic fuzzy parameterized soft set theory and its application in decision making. In: Proceedings of 10th international conference on intelligent systems and control (ISCO 2016), vol. 2, pp. 385–390 (2016)

    Google Scholar 

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Authors and Affiliations

  1. SCOPE, VIT University, Vellore, Tamilnadu, India

    B. K. Tripathy, T. R. Sooraj & R. K. Mohanty

Authors
  1. B. K. Tripathy
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  2. T. R. Sooraj
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  3. R. K. Mohanty
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Corresponding author

Correspondence to B. K. Tripathy .

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Editors and Affiliations

  1. Department of Computer Science and Engineering, Birla Institute of Technology Mesra, Ranchi, Jharkhand, India

    Sudip Kumar Sahana

  2. Department of Computer Science and Engineering, Birla Institute of Technology Mesra, Ranchi, Jharkhand, India

    Sujan Kumar Saha

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Tripathy, B.K., Sooraj, T.R., Mohanty, R.K. (2017). A New Approach to Interval-Valued Fuzzy Soft Sets and Its Application in Decision-Making. In: Sahana, S.K., Saha, S.K. (eds) Advances in Computational Intelligence. ICCI 2015. Advances in Intelligent Systems and Computing, vol 509. Springer, Singapore. https://doi.org/10.1007/978-981-10-2525-9_1

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  • DOI: https://doi.org/10.1007/978-981-10-2525-9_1

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-2524-2

  • Online ISBN: 978-981-10-2525-9

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