Skip to main content
SpringerLink
Log in

Stochastic Pretopology as a Tool for Topological Analysis of Complex Systems

  • Conference paper
  • First Online:
Intelligent Information and Database Systems (ACIIDS 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10752))

Included in the following conference series:

Abstract

We are proposing in this paper a more general network modeling framework for complex system representation by introducing Stochastic Pretopology, a result of the combination of Pretopology theory and Random Sets. After giving the definition and some examples for building stochastic pretopology in many situations, we show how this approach generalizes graph, random graph, multi-relational networks and we present an application by giving Pretopology Cascade Model as a general model for information diffusion process that can take place in more complex networks such as multi-relational networks or stochastic graphs.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Basileu, C., Amor, S.B., Bui, M., Lamure, M.: Prétopologie stochastique et réseaux complexes. Stud. Inform. Univ. 10(2), 73–138 (2012)

    Google Scholar 

  2. Belmandt, Z.: Basics of Pretopology. Hermann (2011)

    Google Scholar 

  3. Berge, C.: The Theory of Graphs. Courier Corporation (1962)

    Google Scholar 

  4. Bui, Q.V., Sayadi, K., Bui, M.: A multi-criteria document clustering method based on topic modeling and pseudoclosure function. Informatica 40(2), 169–180 (2016)

    MathSciNet  Google Scholar 

  5. Easley, D., Kleinberg, J.: Networks Crowds and Markets. Cambridge University Press, Cambridge (2010)

    Book  MATH  Google Scholar 

  6. Goldenberg, J., Libai, B., Muller, E.: Talk of the network: a complex systems look at the underlying process of word-of-mouth. Mark. Lett. 12(3), 211–223 (2001)

    Article  Google Scholar 

  7. Granovetter, M.: Threshold models of collective behavior. Am. J. Sociol. 83(6), 1420–1443 (1978)

    Article  Google Scholar 

  8. Lamure, M., Bonnevay, S., Bui, M., Amor, S.B.: A stochastic and pretopological modeling aerial pollution of an urban area. Stud. Inform. Univ. 7(3), 410–426 (2009)

    Google Scholar 

  9. Molchanov, I.: Theory of Random Sets. Springer, London (2005). https://doi.org/10.1007/1-84628-150-4

    MATH  Google Scholar 

  10. Newman, M.E.: Complex systems: a survey. Am. J. Phys. 79, 800–810 (2011)

    Article  Google Scholar 

  11. Newman, M.E.J.: The structure and function of complex networks. SIAM Rev. 45, 167–256 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  12. Nguyen, H.T.: An Introduction to Random Sets. CRC Press, Boca Raton (2006)

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. CHArt Laboratory EA 4004, EPHE, PSL Research University, Paris, France

    Quang Vu Bui & Marc Bui

  2. Hue University of Sciences, Hue, Vietnam

    Quang Vu Bui

  3. LI-PARAD Laboratory, University of Versailles-Saint- Quentin-en-Yvelines, Versailles, France

    Soufian Ben Amor

  4. University Paris 8, Paris, France

    Marc Bui

Authors
  1. Quang Vu Bui
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Soufian Ben Amor
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Marc Bui
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Quang Vu Bui .

Editor information

Editors and Affiliations

  1. Wrocław University of Science and Technology, Wrocław, Poland

    Ngoc Thanh Nguyen

  2. Quang Binh University, Dong Hoi City, Vietnam

    Duong Hung Hoang

  3. National University of Kaohsiung, Kaohsiung, Taiwan

    Tzung-Pei Hong

  4. Rutgers University, Piscataway, New Jersey, USA

    Hoang Pham

  5. Wrocław University of Science and Technology, Wrocław, Poland

    Bogdan Trawiński

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Bui, Q.V., Ben Amor, S., Bui, M. (2018). Stochastic Pretopology as a Tool for Topological Analysis of Complex Systems. In: Nguyen, N., Hoang, D., Hong, TP., Pham, H., Trawiński, B. (eds) Intelligent Information and Database Systems. ACIIDS 2018. Lecture Notes in Computer Science(), vol 10752. Springer, Cham. https://doi.org/10.1007/978-3-319-75420-8_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-75420-8_10

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-75419-2

  • Online ISBN: 978-3-319-75420-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation