Skip to main content

Fuzzy Similarity Measure Model for Trees with Duplicated Attributes

  • Conference paper
Nonlinear Mathematics for Uncertainty and its Applications

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 100))

Abstract

In many business situations, complex user profiles are described by tree structures, and evaluating the similarity between these trees is essential in many applications, such as recommender systems. This paper proposes a fuzzy similarity measure model for trees with duplicated attributes. In this model, the conceptual similarity between attributes and the weights of nodes are expressed by linguistic terms. To deal with duplicated attributes in the trees, nodes with the same concept are clustered. The most conceptual corresponding cluster pairs among two trees are identified. Based on the corresponding cluster pairs, the conceptual similarity and the value similarity between two trees are evaluated, and the final similarity measure is assessed as a weighted sum of their conceptual and value similarities.

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 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Adomavicius, G., Tuzhilin, A.: Toward the next generation of recommender systems: a survey of the state-of-the-art and possible extensions. IEEE Transactions on Knowledge and Data Engineering 17, 734–749 (2005)

    Article  Google Scholar 

  2. Bhavsar, V.C., Boley, H., Yang, L.: A weighted-tree similarity algorithm for multi-agent systems in e-business environments. Computational Intelligence 20, 584–602 (2004)

    Article  MathSciNet  Google Scholar 

  3. Jeong, B., Lee, D., Cho, H., Lee, J.: A novel method for measuring semantic similarity for XML schema matching. Expert Systems with Applications 34, 1651–1658 (2008)

    Article  Google Scholar 

  4. Jungnickel, D.: Graphs, networks, and algorithms. Springer, Heidelberg (2007)

    Google Scholar 

  5. Marimin, U.M., Hatono, I., Tamura, H.: Linguistic labels for expressing fuzzy preference relations in fuzzy group decision making. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 28, 205–218 (1998)

    Article  Google Scholar 

  6. Ricci, F., Senter, L.: Structured cases, trees and efficient retrieval. Advances in Case-Based Reasoning 1488, 88–99 (1998)

    Article  Google Scholar 

  7. Wu, D., Lu, J., Zhang, G.: A hybrid recommendation approach for hierarchical items. In: International Conference on Intelligent Systems and Knowledge Engineering (ISKE), pp. 492-497 (2010)

    Google Scholar 

  8. Xue, Y., Wang, C., Ghenniwa, H., Shen, W.: A tree similarity measuring method and its application to ontology comparison. Journal of Universal Computer Science 15, 1766–1781 (2009)

    MATH  Google Scholar 

  9. Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning–I 1. Information Sciences 8, 199–249 (1975)

    Article  MathSciNet  Google Scholar 

  10. Zhang, G., Lu, J.: Using general fuzzy number to handle uncertainty and imprecision in group decision-making. Intelligent Sensory Evaluation: Methodologies and Applications, 51-70 (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wu, D., Zhang, G. (2011). Fuzzy Similarity Measure Model for Trees with Duplicated Attributes. In: Li, S., Wang, X., Okazaki, Y., Kawabe, J., Murofushi, T., Guan, L. (eds) Nonlinear Mathematics for Uncertainty and its Applications. Advances in Intelligent and Soft Computing, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22833-9_40

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-22833-9_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22832-2

  • Online ISBN: 978-3-642-22833-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics