Skip to main content

Modeling in Feature and Concept Spaces: Exclusion Relations and Similarities of Features Related with Exclusions

  • Conference paper
  • First Online:
Knowledge, Information and Creativity Support Systems: Recent Trends, Advances and Solutions

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 364))

  • 829 Accesses

Abstract

The paper introduces definitions of exclusion relations in spaces of features and concepts. Concepts correspond to phenomena and they are described with their features. The objective of our research is to investigate and describe possible structuring and relations in the feature and concept spaces. In this article, three types of exclusions: weak, strict, and multiple qualitative are defined and discussed. The focus is on similarity of excluding structures. Two distinct methodologies are introduced. First approach relies on direct features comparison. Second methodology uses dedicated similarity relation rooted in the underlying concept space.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  2. Homenda, W.: Balanced fuzzy sets. Inf. Sci. 176(17), 2467–2506 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  3. Homenda, W., Pedrycz, W.: Balanced fuzzy computing unit. Int. J. Uncertain. Fuzziness Knowl. Based Syst. 13(2), 117–138 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  4. Homenda, W., Pedrycz, W.: Balanced fuzzy gates. In: Greco, S., Hata, Y., Hirano, S., Inuiguchi, M., Miyamoto, S., Nguyen, H.S., Słowiński, R. (eds.) RSCTC 2006. LNCS (LNAI), vol. 4259, pp. 107–116. Springer, Berlin (2006)

    Google Scholar 

  5. Homenda, W., Pedrycz, W.: Symmetrization of fuzzy operators: notes on data aggregation. In: Halgamuge, S.K., Wang, L. (eds.) Computational Intelligence for Modelling and Prediction. Studies in Computational Intelligence, vol. 2, pp. 1–17. Springer, Berlin (2005)

    Google Scholar 

  6. Jastrzebska, A.: Similarity of exclusions in the concept space. In: Skulimowski, A.M.J. (ed.) 8th International Conference on Knowledge, Information and Creativity Support Systems, pp. 245–256. Progress & Business Publishers (2013)

    Google Scholar 

  7. Julian-Iranzo, P.: A procedure for the construction of a similarity relation. In: Magdalena, L., Ojeda-Aciego, M., Verdegay, J.L. (eds.) 12th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, pp. 489–496 (2008)

    Google Scholar 

  8. Klawonn, F., Kruse, R.: Similarity relations and independence concepts. In: Della Riccia, G., Dubois, D., Kruse, R., Lenz, H.J. (eds.) Preferences and Similarities, pp. 179–196. Springer, Wien (2008)

    Google Scholar 

  9. Lin, D.: An Information-theoretic definition of similarity. In: Shavlik, J.V. (ed.) 15th International Conference on Machine Learning, pp. 296–304. Morgan Kaufmann (1998)

    Google Scholar 

  10. Orozco, J., Belanche, L.: On aggregation operators of transitive similarity and dissimilarity relations. In: 13th IEEE International Conference on Fuzzy Systems, pp. 1373–1377. IEEE Press (2004)

    Google Scholar 

  11. Tversky, A.: Features of similarity. Psychol. Rev. 84(4), 327–352 (1977)

    Google Scholar 

Download references

Acknowledgments

A. Jastrzebska contribution is supported by the Foundation for Polish Science under International PhD Projects in Intelligent Computing. Project financed from The European Union within the Innovative Economy Operational Programme (2007–2013) and European Regional Development Fund. W. Lesinski’s research is supported by the National Science Center, grant No 2011/01/B/ST6/06478, decision no DEC-2011/01/B/ST6/06478.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Agnieszka Jastrzebska .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Jastrzebska, A., Lesinski, W. (2016). Modeling in Feature and Concept Spaces: Exclusion Relations and Similarities of Features Related with Exclusions. In: Skulimowski, A., Kacprzyk, J. (eds) Knowledge, Information and Creativity Support Systems: Recent Trends, Advances and Solutions. Advances in Intelligent Systems and Computing, vol 364. Springer, Cham. https://doi.org/10.1007/978-3-319-19090-7_33

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-19090-7_33

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19089-1

  • Online ISBN: 978-3-319-19090-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics