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On Multi-soft Sets Construction in Information Systems

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Emerging Intelligent Computing Technology and Applications. With Aspects of Artificial Intelligence (ICIC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5755))

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Abstract

The “standard” soft set deals with a binary-valued information system. For a multi-valued information system S = (U,A,V,f), where V = ∪  a ∈ A V a ,V a is the domain (value set) of attribute a which has multi value (|V a | ≥ 3), a decomposition can be made from S into |A | number of binary-valued information systems S = (U,A,V {0,1},f). In this paper, we present the notion of multi-soft set representing S based on such decomposition. The AND and OR operations in multi-soft sets also presented.

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References

  1. Molodtsov, D.: Soft Set Theory-first Fesults. Computers and Mathematics with Applications 37, 19–31 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  2. Zadeh, L.A.: Fuzzy Set. Information and Control 8, 338–353 (1965)

    Article  MATH  MathSciNet  Google Scholar 

  3. Pawlak, Z.: Rough Sets. International Journal of Computer and Information Science 11, 341–356 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  4. Pawlak, Z.: Rough Sets: A Theoretical Aspect of Reasoning about Data. Kluwer Academic Publisher, Dordrecht (1991)

    Google Scholar 

  5. Pawlak, Z., Skowron, A.: Rudiments of Rough Sets, Information Sciences. An International Journal 177(1), 3–27 (2007)

    MATH  MathSciNet  Google Scholar 

  6. Maji, P.K., Biswas, R., Roy, A.R.: Soft Set Theory. Computers and Mathematics with Applications 45, 555–562 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  7. Yang, C.F.: A Note on Soft Set Theory. Computers and Mathematics with Applications 56, 1899–1900 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  8. Ali, M.I., Feng, F., Liu, X., Min, W.K., Shabir, M.: On Some New Operations in Soft Set Theory. Computers and Mathematics with Applications (2008), doi:10.1016/j.camwa.2008.11.009

    Google Scholar 

  9. Maji, P.K., Roy, A.R., Biswas, R.: An Application of Soft Sets in a Decision Making Problem. Computers and Mathematics with Applications 44, 1077–1083 (2007)

    Article  MathSciNet  Google Scholar 

  10. Chen, D., Tsang, E.C.C., Yeung, D.S., Wang, X.: The Parameterization Reduction of Soft Sets and its Applications. Computers and Mathematics with Applications 49, 757–763 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  11. Zou, Y., Xiao, Z.: Data Analysis Approaches of Soft Sets Under Incomplete Information. Knowledge-Based Systems 21, 941–945 (2008)

    Article  Google Scholar 

  12. Zhi, K., Gao, L., Wang, L., Li, S.: The Normal Parameter Reduction of Soft Sets and Its Algorithm. Computers and Mathematics with Applications 56, 3029–3037 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  13. Yao, Y.Y.: Relational Interpretations of Neighbourhood Operators and Rough Set Approximation Operators. Information Sciences 111, 239–259 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  14. Parmar, D., Wu, T., Blackhurst, J.: MMR: An Algorithm for Clustering Categorical Data Using Rough Set Theory. Data and Knowledge Engineering 63, 879–893 (2007)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Faculty of Information Technology and Multimedia, Universiti Tun Hussein Onn Malaysia Parit Raja, 86400, Batu Pahat, Johor, Malaysia

    Tutut Herawan & Mustafa Mat Deris

Authors
  1. Tutut Herawan
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  2. Mustafa Mat Deris
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Editor information

Editors and Affiliations

  1. Institute of Intelligent Machines, Chinese Academy of Sciences, China

    De-Shuang Huang

  2. Graduate School of Electrical Engineering, University of Ulsan, Korea, San 29, Mugeo-Dong, Nam-Ku, 680 - 749, Ulsan, Korea

    Kang-Hyun Jo

  3. School of Electrical Engineering, University of Ulsan, Ulsan, South Korea

    Hong-Hee Lee

  4. School of Electrical Engineering, University of Ulsan, South Korea

    Hee-Jun Kang

  5. e.B.I.S. s.r.l. (electronic Business in Security), Spin-Off of Polytechnic of Bari, Str. Prov. per Casamassima Km., 3, 70010, Valenzano, (BA), Italy

    Vitoantonio Bevilacqua

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© 2009 Springer-Verlag Berlin Heidelberg

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Herawan, T., Deris, M.M. (2009). On Multi-soft Sets Construction in Information Systems. In: Huang, DS., Jo, KH., Lee, HH., Kang, HJ., Bevilacqua, V. (eds) Emerging Intelligent Computing Technology and Applications. With Aspects of Artificial Intelligence. ICIC 2009. Lecture Notes in Computer Science(), vol 5755. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04020-7_12

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  • DOI: https://doi.org/10.1007/978-3-642-04020-7_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04019-1

  • Online ISBN: 978-3-642-04020-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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