Skip to main content

Interactive Computations on Complex Granules

  • Conference paper
Rough Sets and Intelligent Systems Paradigms

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8537))

  • 1051 Accesses

Abstract

Information granules (infogranules, for short) are widely discussed in the literature. In particular, let us mention here the rough granular computing approach based on the rough set approach and its combination with other approaches to soft computing. However, the issues related to interactions of infogranules with the physical world and to perception of interactions in the physical world represented by infogranules are not well elaborated yet. On the other hand, the understanding of interactions is the critical issue of complex systems. We propose to model complex systems by interactive computational systems (ICS) created by societies of agents. Computations in ICS are based on complex granules (c-granules, for short). In the paper we concentrate on some basic issues related to interactive computations based on c-granules performed by agents in the physical world.

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 39.99
Price excludes VAT (USA)
  • Available as 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barwise, J., Seligman, J.: Information Flow: The Logic of Distributed Systems. Cambridge University Press, Cambridge (1997)

    Book  Google Scholar 

  2. Bazan, J.: Hierarchical classifiers for complex spatio-temporal concepts. In: Peters, J.F., Skowron, A., Rybiński, H. (eds.) Transactions on Rough Sets IX. LNCS, vol. 5390, pp. 474–750. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  3. Deutsch, D., Ekert, A., Lupacchini, R.: Machines, logic and quantum physics. Neural Computation 6, 265–283 (2000)

    MathSciNet  MATH  Google Scholar 

  4. Goldin, D., Smolka, S., Wegner, P. (eds.): Interactive Computation: The New Paradigm. Springer (2006)

    Google Scholar 

  5. Gurevich, Y.: Interactive algorithms 2005. In: Goldin, et al. (eds.) [4], pp. 165–181

    Google Scholar 

  6. Heller, M.: The Ontology of Physical Objects. Four Dimensional Hunks of Matter. Cambridge Studies in Philosophy. Cambridge University Press, Cambridge (1990)

    Google Scholar 

  7. Jankowski, A.: Practical Issues of Complex Systems Engineering: Wisdom Technology Approach. Springer, Heidelberg (in preparation, 2014)

    Google Scholar 

  8. Jankowski, A., Skowron, A.: A wistech paradigm for intelligent systems. In: Peters, J.F., Skowron, A., Düntsch, I., Grzymała-Busse, J., Orłowska, E., Polkowski, L. (eds.) Transactions on Rough Sets VI. LNCS, vol. 4374, pp. 94–132. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  9. Jankowski, A., Skowron, A.: Wisdom technology: A rough-granular approach. In: Marciniak, M., Mykowiecka, A. (eds.) Bolc Festschrift. LNCS, vol. 5070, pp. 3–41. Springer, Heidelberg (2009)

    Google Scholar 

  10. Jankowski, A., Skowron, A., Swiniarski, R.: Interactive complex granules. In: Szczuka, M., Czaja, L., Kacprzak, M. (eds.) Proceedings of the 22nd International Workshop on Concurrency, Specification and Programming (CS&P 2013), Warsaw, Poland, September 25-27. CEUR Workshop Proceedings, vol. 1032, pp. 206–218. RWTH Aachen University (2013)

    Google Scholar 

  11. Jankowski, A., Skowron, A., Swiniarski, R.: Interactive computations: Toward risk management in interactive intelligent systems. In: Maji, P., Ghosh, A., Murty, M.N., Ghosh, K., Pal, S.K. (eds.) PReMI 2013. LNCS, vol. 8251, pp. 1–12. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  12. Kari, L., Rozenberg, G.: The many facets of natural computing. Communications of the ACM 51, 72–83 (2008)

    Article  Google Scholar 

  13. Marsh, L.: Stigmergic epistemology, stigmergic cognition. Journal Cognitive Systems 9, 136–149 (2008)

    Article  Google Scholar 

  14. Martin-Löf, P.: Intuitionistic Type Theory (Notes by Giovanni Sambin of a series of lectures given in Padua, June 1980), Bibliopolis, Napoli, Italy (1984)

    Google Scholar 

  15. Nguyen, S.H., Bazan, J., Skowron, A., Nguyen, H.S.: Layered learning for concept synthesis. In: Peters, J.F., Skowron, A., Grzymała-Busse, J.W., Kostek, B., Swiniarski, R.W., Szczuka, M.S. (eds.) Transactions on Rough Sets I. LNCS, vol. 3100, pp. 187–208. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  16. Omicini, A., Ricci, A., Viroli, M.: The multidisciplinary patterns of interaction from sciences to computer science. In: Goldin, et al. (eds.) [4], pp. 395–414

    Google Scholar 

  17. Pedrycz, W., Skowron, S., Kreinovich, V. (eds.): Handbook of Granular Computing. John Wiley & Sons, Hoboken (2008)

    Google Scholar 

  18. Skowron, A., Stepaniuk, J., Swiniarski, R.: Modeling rough granular computing based on approximation spaces. Information Sciences 184, 20–43 (2012)

    Article  Google Scholar 

  19. Skowron, A., Szczuka, M.: Toward interactive computations: A rough-granular approach. In: Koronacki, J., Raś, Z.W., Wierzchoń, S.T., Kacprzyk, J. (eds.) Advances in Machine Learning II. SCI, vol. 263, pp. 23–42. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  20. Skowron, A., Wasilewski, P.: Information systems in modeling interactive computations on granules. In: Szczuka, M., Kryszkiewicz, M., Ramanna, S., Jensen, R., Hu, Q. (eds.) RSCTC 2010. LNCS (LNAI), vol. 6086, pp. 730–739. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  21. Skowron, A., Wasilewski, P.: Information systems in modeling interactive computations on granules. Theoretical Computer Science 412(42), 5939–5959 (2011)

    Article  MathSciNet  Google Scholar 

  22. Skowron, A., Wasilewski, P.: Toward interactive rough-granular computing. Control & Cybernetics 40(2), 1–23 (2011)

    MATH  Google Scholar 

  23. Skowron, A., Wasilewski, P.: Interactive information systems: Toward perception based computing. Theoretical Computer Science 454, 240–260 (2012)

    Article  MathSciNet  Google Scholar 

  24. Toffoli, T.: Physics and computation. lnternational Journal of Theoretical Physics 21, 165–175 (1982)

    Article  MathSciNet  Google Scholar 

  25. Zadeh, L.A.: Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans. on Systems, Man and Cybernetics SMC-3, 28–44 (1973)

    Article  MathSciNet  Google Scholar 

  26. Zadeh, L.A.: Fuzzy sets and information granularity. In: Advances in Fuzzy Set Theory and Applications, pp. 3–18. North-Holland, Amsterdam (1979)

    Google Scholar 

  27. Zadeh, L.A.: Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets and Systems 90, 111–127 (1997)

    Article  MathSciNet  Google Scholar 

  28. Zadeh, L.A.: From computing with numbers to computing with words – from manipulation of measurements to manipulation of perceptions. IEEE Transactions on Circuits and Systems 45, 105–119 (1999)

    Article  MathSciNet  Google Scholar 

  29. Zadeh, L.A.: A new direction in AI: Toward a computational theory of perceptions. AI Magazine 22(1), 73–84 (2001)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Jankowski, A., Skowron, A., Swiniarski, R. (2014). Interactive Computations on Complex Granules. In: Kryszkiewicz, M., Cornelis, C., Ciucci, D., Medina-Moreno, J., Motoda, H., RaÅ›, Z.W. (eds) Rough Sets and Intelligent Systems Paradigms. Lecture Notes in Computer Science(), vol 8537. Springer, Cham. https://doi.org/10.1007/978-3-319-08729-0_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-08729-0_11

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08728-3

  • Online ISBN: 978-3-319-08729-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics