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Factor Space and Normal Context on Concept Description

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International Conference on Oriental Thinking and Fuzzy Logic

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 443))

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Abstract

Normal concept analysis is an important mathematical branch on knowledge representation, but there are some defect points blocking the development of the theory. The authors of the paper suggests that the involution principle is put on basic concepts only and we does not need to emphasize the bi-directional involution. The single-directional involution is enough.

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References

  1. Ganter, B., Wille, R.: Formal Concept Analysis. Springer, Berlin (1999)

    Book  MATH  Google Scholar 

  2. Wille, R.: Restructuring lattice theory: an approach based on hierarchies of concepts. In: Rival, I. (ed.) Ordered Set, pp. 445–470. Reidel, Dordrecht-Boston (1982)

    Google Scholar 

  3. Wang, P.Z., Sugeno, M.: The factors field and background structure for fuzzy subsets. Fuzzy Math. 2, 45–54 (1982)

    Google Scholar 

  4. Wang, P.Z., Li, H.X.: A Mathematical Theory on Knowledge Representation. Tianjin Scientific and Technical Press, Tianjin (1994)

    Google Scholar 

  5. Yuan, X., Wang, P.Z., Lee, F.S.: Factor space and its algebraic representation theory. J. Math. Anal. Appl. 17(1), 256–276 (1992)

    Google Scholar 

  6. Wang, P.Z.: A factor spaces approach to knowledge representation. Fuzzy Sets Syst. 36(1), 113–124 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  7. Foong, S.B., Wang, P.Z.: A factor space approach to concept representation. In: Proceedings of Fuzzy Logic in Artificial Intelligence, pp. 97–113 (1993)

    Google Scholar 

  8. Li, H.X., Wang, P.Z., Yen, V.C.: Factor spaces theory and its applications to fuzzy information processing (I). The basics of factor spaces. Fuzzy Sets Syst. 95(2), 147–160 (1998)

    Google Scholar 

  9. Li, H.X., Chen, C.L.P., Yen, V.C. et al.: Factor spaces theory and its applications to fuzzy information processing: Two kinds of factor space canes. Comput. Math. Appl. 40(6–7), 835–843 (2000)

    Google Scholar 

  10. Zou, K.: Basic Algebra and Category Theory. Dalian Maritime University Press (2002)

    Google Scholar 

  11. Wang, P.Z.: Factor spaces and factor data-bases. J. Liaoning Tech. Univ.: Nat. Sci. 32(10), 1–8 (2013)

    Google Scholar 

  12. Wang, P.Z., Guo, S., Bao, Y.K., Liu, H.T.: Factorial analysis in factor space. J. Liaoning Tech. Univ.: Nat. Sci. 32(10), 1–8 (2013)

    Google Scholar 

  13. Liu, H., Guo, S.: The reasoning model for factorial analysis. J. Liaoning Eng. Tech. Univ. (2015)

    Google Scholar 

  14. Wang, P.Z., Liu, Z.L., Shi, Y., Guo, S.C.: Factor space, the theoretical base of data science. Ann. Data Sci. 1(1) (2014)

    Google Scholar 

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Correspondence to Kai-qi Zou .

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Zou, Kq., Shi, Ln. (2016). Factor Space and Normal Context on Concept Description. In: Cao, BY., Wang, PZ., Liu, ZL., Zhong, YB. (eds) International Conference on Oriental Thinking and Fuzzy Logic. Advances in Intelligent Systems and Computing, vol 443. Springer, Cham. https://doi.org/10.1007/978-3-319-30874-6_40

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  • DOI: https://doi.org/10.1007/978-3-319-30874-6_40

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30873-9

  • Online ISBN: 978-3-319-30874-6

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