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Elements of the Type-2 Semantics in Summarizing Databases

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Artificial Intelligence and Soft Computing – ICAISC 2006 (ICAISC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4029))

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Abstract

Modern and effective methods of knowledge extraction from databases and information systems are required to provide rather linguistic than numerical information. The so-called linguistic summaries of databases by Yager [1], exemplified by Many children like sweet ice cream, and further improvements by George and Srikanth [2] and by Kacprzyk and Yager [3], are discussed in this paper. The use of type-2 fuzzy sets is an original contribution to the domain, since only ordinary fuzzy sets have been originally employed. Elements of type-2 semantics are shown to handle effectively pieces of imprecise information (e.g. fuzzy sets) stored in databases. An application on sample data is provided.

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References

  1. Yager, R.R.: A new approach to the summarization of data. Information Sciences 28, 69–86 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  2. George, R., Srikanth, R.: Data summarization using genetic algorithms and fuzzy logic. In: Herrera, F., Verdegay, J.L. (eds.) Genetic Algorithms and Soft Computing, pp. 599–611. Physica–Verlag, Heidelberg (1996)

    Google Scholar 

  3. Kacprzyk, J., Yager, R.R.: Linguistic summaries of data using fuzzy logic. International Journal of General Systems 30, 133–154 (2001)

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  5. Turksen, I.B.: Interval-valued fuzzy sets based on normal forms. Fuzzy Sets and Systems, 191–210 (1986)

    Google Scholar 

  6. Gorzalczany, M.B.: A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets and Systems 21, 1–17 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  7. Gorzalczany, M.B.: An interval-valued fuzzy inference method in approximate reasoning. Fuzzy Sets and Systems 31, 243–251 (1989)

    Article  MathSciNet  Google Scholar 

  8. Karnik, N.N., Mendel, J.M.: An Introduction to Type-2 Fuzzy Logic Systems. University of Southern California, Los Angeles (1998)

    Google Scholar 

  9. Karnik, N.N., Mendel, J.M.: Type-2 fuzzy logic systems. IEEE Transactions on Fuzzy Systems 7, 643–658 (1999)

    Article  Google Scholar 

  10. Mendel, J.M.: Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Prentice-Hall, Upper Saddle River (2001)

    MATH  Google Scholar 

  11. Jang, L.-C., Ralescu, D.: Cardinality concept for type-two fuzzy sets. Fuzzy Sets and Systems 118, 479–487 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  12. Liang, Q., Mendel, J.M.: Equalization of non-linear time-varying channels using type-2 fuzzy adaptive filters. IEEE Transactions on Fuzzy Systems 8, 551–563 (2000)

    Article  Google Scholar 

  13. de Tre, G., de Caluwe, R.: Level-2 fuzzy sets and their usefulness in object-oriented database modelling. Fuzzy Sets and Systems 140, 29–49 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  14. Wu, H., Mendel, J.M.: Uncertainty bounds and their use in the design of interval type–2 fuzzy logic systems. IEEE Transactions on Fuzzy Systems 10, 622–639 (2002)

    Article  Google Scholar 

  15. Karnik, N.N., Mendel, J.M.: Operations on type-2 fuzzy sets. Fuzzy Sets and Systems 122, 327–348 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  16. Liang, Q., Mendel, J.M.: Interval type-2 fuzzy logic systems. theory and design. IEEE Transactions on Fuzzy Systems 8, 535–550 (2000)

    Article  Google Scholar 

  17. de Korvin, A., Hu, C., Sirisaengtaksin, O.: On firing rules of fuzzy sets of type ii. International J. of Applied Mathematics 3(2), 151–159 (2000)

    MATH  Google Scholar 

  18. Zadeh, L.A.: A computational approach to fuzzy quantifiers in natural languages. Computers and Maths with Applications 9, 149–184 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  19. Kacprzyk, J., Yager, R.R., Zadrożny, S.: Fuzzy linguistic summaries of databases for an efficient business data analysis and decision support. In: Abramowicz, W., Żurada, J. (eds.) Discovery for Business Information Systems, pp. 129–152. Kluwer Academic Publishers, B. V., Boston (2001)

    Google Scholar 

  20. Zadeh, L.A.: The concept of linguistic variable and its application for approximate reasoning (i). Information Sciences 8, 199–249 (1975)

    Article  MathSciNet  Google Scholar 

  21. Niewiadomski, A.: On two possible roles of type-2 fuzzy sets in linguistic summaries. In: Szczepaniak, P.S., Kacprzyk, J., Niewiadomski, A. (eds.) AWIC 2005. LNCS (LNAI), vol. 3528, pp. 341–347. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  22. Niewiadomski, A.: Interval-valued linguistic variables. an application to linguistic summaries. In: Hryniewicz, O., Kacprzyk, J., Koronacki, J., Wierzchoń, S.T. (eds.) Issues in Intelligent Systems. Paradigms, pp. 167–184. EXIT Academic Press, Warsaw (2005)

    Google Scholar 

  23. Niewiadomski, A.: Interval-valued quality measures for linguistic summaries. In: Grzegorzewski, P., Krawczak, M., Zadrożny, S. (eds.) Issues in Soft Computing. Theory and Applications, pp. 211–224. Academic Press, London (2005)

    Google Scholar 

  24. Niewiadomski, A., Ochelska, J., Szczepaniak, P.S.: Interval-valued linguistic summaries of databases. Control and Cybernetics (2005) (in print)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Computer Science, Technical University of Łódź, ul. Wólczańska 215, 93-005, Łódź, Poland

    Adam Niewiadomski & Michał Bartyzel

Authors
  1. Adam Niewiadomski
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  2. Michał Bartyzel
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Editor information

Editors and Affiliations

  1. Department of Artificial Intelligence, Academy of Humanities and Economics, Poland

    Leszek Rutkowski

  2. Institute of Automatics, AGH University of Science and Technology, Al. Mickiewicza 30, PL-30-059, Kraków, Poland

    Ryszard Tadeusiewicz

  3. Department of Electrical Engineering and Computer Sciences, Berkeley Initiative in Soft Computing (BISC), University of California, 94720-1776, Berkeley, CA, USA

    Lotfi A. Zadeh

  4. Department of Electrical Engineering, University of Louisville, 40292, Louisville, KY, U.S.A

    Jacek M. Żurada

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© 2006 Springer-Verlag Berlin Heidelberg

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Niewiadomski, A., Bartyzel, M. (2006). Elements of the Type-2 Semantics in Summarizing Databases. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds) Artificial Intelligence and Soft Computing – ICAISC 2006. ICAISC 2006. Lecture Notes in Computer Science(), vol 4029. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11785231_30

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  • DOI: https://doi.org/10.1007/11785231_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35748-3

  • Online ISBN: 978-3-540-35750-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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