Skip to main content
Log in

Granular Computing as a Framework of System Modeling

  • Published:
Journal of Control, Automation and Electrical Systems Aims and scope Submit manuscript

Abstract

The study is concerned with a concept of granular models, which form a generalization of (numeric) models commonly encountered in system modeling. Granular models are developed in the setting of Granular Computing and are predominantly concerned with the processing information granules forming conceptual and functional blocks of models. In particular, the parameters of these models are represented in the form of information granules. We discuss an origin and offer a motivation behind the construction of granular models. To make this study self-contained, a brief introduction to the formalism of information granules (including sets, fuzzy sets, rough sets, and shadowed sets) is presented with an emphasis placed on the key characteristics of these constructs and a role they play in system modeling.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2

Similar content being viewed by others

References

  • Bargiela, A., & Pedrycz, W. (2003). Granular computing: An introduction. Dordrecht: Kluwer Academic Publishers.

    Book  MATH  Google Scholar 

  • Bargiela, A., & Pedrycz, W. (2008). Toward a theory of granular computing for human-centered information processing. IEEE Transactions on Fuzzy Systems, 16(2), 320–330.

    Article  Google Scholar 

  • Bargiela, A., & Pedrycz, W. (2009). Human-centric information processing through granular modelling. Heidelberg: Springer-Verlag.

    Book  Google Scholar 

  • Engelbrecht, A. P. (2005). Fundamentals of computational swarm intelligence. London, UK: Wiley.

    Google Scholar 

  • Goldberg, D. E. (1989). Genetic algorithms in search, pptimization, and machine learning. Reading, MA: Addison Wesley.

  • Haykin, S. (1999). Neural networks: A comprehensive foundation (2nd ed.). Upper Saddle River, NJ: Prentice Hall.

  • Hirota, K. (1981). Concepts of probabilistic sets. Fuzzy Sets and Systems, 5(1), 31–46.

    Article  MathSciNet  MATH  Google Scholar 

  • Hirota, K., & Pedrycz, W. (1984). Characterization of fuzzy clustering algorithms in terms of entropy of probabilistic sets. Pattern Recognition Letters, 2(4), 213–216.

    Article  MATH  Google Scholar 

  • Liu, X., & Pedrycz, W. (2009). Axiomatic fuzzy set theory and its applications. Berlin: Springer-Verlag.

    Book  MATH  Google Scholar 

  • Moore, R. (1966). Interval analysis. Englewood Cliffs, NJ: Prentice-Hall.

    MATH  Google Scholar 

  • Pawlak, Z. (1982). Rough sets. International Journal of Computing and Information Sciences, 11, 341–356.

    Article  MathSciNet  MATH  Google Scholar 

  • Pawlak, Z. (1985). Rough sets and fuzzy sets. Fuzzy Sets and Systems, 17(1), 99–102.

    Article  MathSciNet  MATH  Google Scholar 

  • Pawlak, Z. (1991). Rough sets: Theoretical aspects of reasoning about data. Dordrecht: Kluwer Academic Publishers.

    MATH  Google Scholar 

  • Pedrycz, W. (1998). Shadowed sets: Representing and processing fuzzy sets. IEEE Transactions on Systems, Man, and Cybernetics, Part B, 28, 103–109.

    Article  Google Scholar 

  • Pedrycz, W. (1999). Shadowed sets: Bridging fuzzy and rough sets. In S. K. Pal & A. Skowron (Eds.), Rough fuzzy hybridization. A new trend in decision-making (pp. 179–199). Singapore: Springer Verlag.

    Google Scholar 

  • Pedrycz, W. (2005). Interpretation of clusters in the framework of shadowed sets. Pattern Recognition Letters, 26(15), 2439–2449.

    Article  Google Scholar 

  • Pedrycz, W. (2012). Allocation of information granularity in optimization and decision making models: Towards building the foundations of Granular Computing. European Journal of Operational Research, (in press).

  • Pedrycz, W. (2013). Analysis and design of intelligent systems: A framework of granular computing. Boca Raton, FL: Taylor & Francis CRC Press.

    Book  Google Scholar 

  • Pedrycz, W., & Gomide, F. (1998). An introduction to fuzzy sets: Analysis and design. Cambridge, MA: MIT Press.

    MATH  Google Scholar 

  • Pedrycz, W., & Gomide, F. (2007). Fuzzy systems engineering: Toward human-centric computing. Hoboken, NJ: John Wiley.

    Book  Google Scholar 

  • Pedrycz, W., Skowron, A., & Kreinovich, V. (2008). Handbook of granular computing (pp. 347–373). Chichester: John Wiley & Sons.

    Book  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  • Zadeh, L. A. (1997). Towards a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets and Systems, 90, 111–117.

    Article  MathSciNet  MATH  Google Scholar 

  • Zadeh, L. A. (1999). 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.

    Google Scholar 

  • Zadeh, L. A. (2005). Toward a generalized theory of uncertainty (GTU)—An outline. Information Sciences, 172, 1–40.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Witold Pedrycz.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pedrycz, W. Granular Computing as a Framework of System Modeling. J Control Autom Electr Syst 24, 81–86 (2013). https://doi.org/10.1007/s40313-013-0010-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40313-013-0010-9

Keywords

Navigation