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Multi-L-soft Set and Its Application in Decision Making

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Quantitative Logic and Soft Computing 2016

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 510))

Abstract

In this paper, the concept of multi-L-soft set is proposed. It is a generalization of multi-fuzzy soft set. Then relations between multi-L-soft sets and operations on the multi-L-soft sets are defined, furthermore, properties of the operations are discussed. Finally, an illustrative example is given to show validity of the multi-interval-valued fuzzy soft set in decision making problem.

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References

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

    Article  MathSciNet  MATH  Google Scholar 

  2. Molodtsov, D.: The Theory of Soft Sets. URSS Publisher, Moscow (2004). (in Russian)

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  4. Pei, D., Miao, D.: From soft sets to information systems. In: IEEE International Conference on Granular Computing. pp. 617–621 (2005)

    Google Scholar 

  5. Ali, M.I., Feng, F., Liu, X.Y., Win, W.K., Shabir, M.: On some new operations in soft set theory. Comput. Math. Appl. 57, 1547–1553 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  6. Aktas, H., Ca\(\check{g}\)man, N.: Soft sets and soft groups. Inf. Sci. 177, 2726–2735 (2007)

    Google Scholar 

  7. Jun, Y.B.: Soft BCK/BCI-algrbras. Comput. Math. Appl. 56, 1408–1413 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  8. Jun, Y.B., Park, C.H.: Applications of soft sets in ideal theory of BCK/BCI-algrbras. Inf. Sci. 178, 2466–2475 (2008)

    MathSciNet  MATH  Google Scholar 

  9. Jun, Y.B., Lee, K.J., Park, C.H.: Soft set theory applied to ideals in d-algebras. Comput. Math. Appl. 57, 367–378 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  10. Park, C.H., Jun, Y.B., \(\ddot{O}\)zt\(\ddot{u}\)rk, M.A.: Soft WS-algebras. Korean Math. Soc. Commun. 23, 313–324 (2008)

    Google Scholar 

  11. Feng, F., Jun, Y.B., Zhao, X.: Soft semirings. Comput. Math. Appl. 56, 2621–2628 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  12. Roy, A.R., Maji, P.K.: A fuzzy soft set theoretic approach to decision making problems. J. Comput. Appl. Math. 203, 412–418 (2007)

    Article  MATH  Google Scholar 

  13. Kong, Z., Gao, L., Wang, L.: Comment on A fuzzy soft set theoretic approach to decision making problems. J. Comput. Appl. Math. 223, 540–542 (2008)

    Article  MATH  Google Scholar 

  14. Feng, F., Jun, Y.B.: An adjustable approach to fuzzy soft set based decision making. J. Comput. Appl. Math. 234, 10–20 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  15. Feng, F., Li, Y.M., Fotea, V.L.: Application of level soft sets in decision making based on interval-valued fuzzy soft set. Comput. Math. Appl. 60, 1756–1767 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  16. Maji, P.K., Roy, A.R., Bismas, R.: Soft set theory. Comput. Math. Appl. 44, 1077–1083 (2002)

    Article  MathSciNet  Google Scholar 

  17. Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning About Data. Kluwer Academic, Boston. MA (1991)

    Book  MATH  Google Scholar 

  18. Chen, D., Tsang, E.C.C., Yeung, D.S., Wang, X.: The parametrization reduction of soft sets and its applications. Comput. Math. Appl. 49, 757–763 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  19. Herawan, T., Mustafa, M.D.: On Multi-soft Sets Construction in Information Systems. In: Huang, D.-S., Jo, K.-H., Lee, H.-H., Kang, H.J., Bevilacqua, V. (eds.) ICIC 2009. LNCS (LNAI), vol. 5755, pp. 101–110. Springer, Heidelberg (2009)

    Google Scholar 

  20. Maji, P.K., Biswas, R., Roy, A.R.: Fuzzy soft sets. Comput. Math. Appl. 9, 589–602 (2001)

    MathSciNet  MATH  Google Scholar 

  21. Sebastian, S., Ramakrishnan, T.V.: Multi-fuzzy sets: an extension of fuzzy sets. Comput. Math. Appl. 3, 35–43 (2011)

    MathSciNet  MATH  Google Scholar 

  22. Yang, Y., Tan, X., Meng, C.C.: The multi-fuzzy soft set and its application in decision making. Comput. Math. Appl. 37, 4915–4923 (2013)

    MathSciNet  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  24. Jun, Y.B., Yang, X.B.: A note on the paper Combination of interval-valued fuzzy set and soft set [Comput. Math. Appl. 58 (2009) 521–527]. Comput. Math. Appl. 61, 1468–1470 (2011)

    Article  MathSciNet  Google Scholar 

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Acknowledgments

This research is supported by the Special Fund of the Shaanxi Provincial Education Department (grant Nr. 2013JK0567, Nr. 16JK1373), and Shaanxi Provincial Natural Science Foundation (grant Nr. 2014JM1018).

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Authors and Affiliations

  1. School of Science, Xi’an Technological University, Xi’an, 710032, People’s Republic of China

    Wen-Qing Fu & Yue Shen

Authors
  1. Wen-Qing Fu
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  2. Yue Shen
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Corresponding author

Correspondence to Wen-Qing Fu .

Editor information

Editors and Affiliations

  1. Zhejiang, Zhejiang Sci-Tech University Zhejiang, Hangzhou, China

    Tai-He Fan

  2. Fujian, Jimei University Fujian, Xiamen, China

    Shui-Li Chen

  3. Zhejiang, Zhejiang Sci-Tech University Zhejiang, Hangzhou, China

    San-Min Wang

  4. Yanta, Shaanxi Normal University Yanta, Xi’an, China

    Yong-Ming Li

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Fu, WQ., Shen, Y. (2017). Multi-L-soft Set and Its Application in Decision Making. In: Fan, TH., Chen, SL., Wang, SM., Li, YM. (eds) Quantitative Logic and Soft Computing 2016. Advances in Intelligent Systems and Computing, vol 510. Springer, Cham. https://doi.org/10.1007/978-3-319-46206-6_53

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  • DOI: https://doi.org/10.1007/978-3-319-46206-6_53

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46205-9

  • Online ISBN: 978-3-319-46206-6

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