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Interactive Granular Computing

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Rough Sets and Knowledge Technology (RSKT 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9436))

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Abstract

Decision support in solving problems related to complex systems requires relevant computation models for the agents as well as methods for incorporating reasoning over computations performed by agents. Agents are performing computations on complex objects (e.g., (behavioral) patterns, classifiers, clusters, structural objects, sets of rules, aggregation operations, (approximate) reasoning schemes etc.). In Granular Computing (GrC), all such constructed and/or induced objects are called granules. To model, crucial for the complex systems, interactive computations performed by agents, we extend the existing GrC approach to Interactive Granular Computing (IGrC) by introducing complex granules (c-granules or granules, for short). Many advanced tasks, concerning complex systems may be classified as control tasks performed by agents aiming at achieving the high quality computational trajectories relative to the considered quality measures over the trajectories. Here, new challenges are to develop strategies to control, predict, and bound the behavior of the system. We propose to investigate these challenges using the IGrC framework. The reasoning, which aims at controlling the computational schemes, in order to achieve the required targets, is called an adaptive judgement. This reasoning deals with granules and computations over them. Adaptive judgement is more than a mixture of reasoning based on deduction, induction and abduction. Due to the uncertainty the agents generally cannot predict exactly the results of actions (or plans). Moreover, the approximations of the complex vague concepts initiating actions (or plans) are drifting with time. Hence, adaptive strategies for evolving approximations of concepts are needed. In particular, the adaptive judgement is very much needed in the efficiency management of granular computations, carried out by agents, for risk assessment, risk treatment, and cost/benefit analysis. In the lecture, we emphasize the role of the rough set based methods in IGrC. The discussed approach is a step towards realization of the Wisdom Technology (WisTech) program, and is developed over years of experiences, based on the work on different real-life projects.

This work was partially supported by the Polish National Science Centre (NCN) grants DEC-2011/01/D/ST6/06981, DEC-2012/05/B/ST6/03215 as well as by the Polish National Centre for Research and Development (NCBiR) under the grant O ROB/0010/03/001.

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Change history

  • 01 January 2019

    The acknowledgement section of this paper originally referred to grant DEC-2013/09/B/ST6/01568. The reference to this grant has been removed from the acknowledgement section at the request of one of the authors.

References

  1. Cyber-physical and ultra-large scale systems (2013). http://resources.sei.cmu.edu/library/asset-view.cfm?assetid=85282

  2. Bargiela, A., Pedrycz, W. (eds.): Granular Computing: An Introduction. Kluwer Academic Publishers, Boston (2003)

    MATH  Google Scholar 

  3. 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 

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

    MATH  Google Scholar 

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

    Book  Google Scholar 

  6. Gegov, A.: Conclusion. In: Gegov, A. (ed.) Fuzzy Networks for Complex Systems. STUDFUZZ, vol. 259, pp. 275–277. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

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

    Chapter  Google Scholar 

  8. Jankowski, A., Skowron, A.: Wisdom technology: a rough-granular approach. In: Marciniak, M., Mykowiecka, A. (eds.) Aspects of Natural Language Processing. LNCS, vol. 5070, pp. 3–41. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  9. Jankowski, A., Skowron, A., Swiniarski, R.W.: Interactive complex granules. Fundamenta Informaticae 133, 181–196 (2014)

    Google Scholar 

  10. Jankowski, A., Skowron, A., Swiniarski, R.W.: Perspectives on uncertainty and risk in rough sets and interactive rough-granular computing. Fundamenta Informaticae 129, 69–84 (2014)

    MathSciNet  MATH  Google Scholar 

  11. Kahneman, D.: Maps of bounded rationality: psychology for behavioral economics. Am. Econ. Rev. 93, 1449–1475 (2002)

    Article  Google Scholar 

  12. Lamnabhi-Lagarrigue, F., Di Benedetto, M.D., Schoitsch, E.: Introduction to the special theme Cyber-Physical Systems. Ercim News 94, 6–7 (2014)

    Google Scholar 

  13. Mendel, J.M., Zadeh, L.A., Trillas, E., Yager, R., Lawry, J., Hagras, H., Guadarrama, S.: What computing with words means to me. IEEE Comput. Intell. Mag. 5(1), 20–26 (2010)

    Article  Google Scholar 

  14. Omicini, A., Ricci, A., Viroli, M.: The multidisciplinary patterns of interaction from sciences to computer science. In: Goldin, D., et al. (eds.) Interactive Computation: The New Paradigm, pp. 395–414. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  15. Pawlak, Z., Skowron, A.: Rudiments of rough sets. Inf. Sci. 177(1), 3–27 (2007)

    Article  MathSciNet  Google Scholar 

  16. Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning about Data, System Theory, Knowledge Engineering and Problem Solving, vol. 9. Kluwer Academic Publishers, Boston (1991)

    Book  Google Scholar 

  17. Pedrycz, W., Skowron, S., Kreinovich, V. (eds.): Handbook of Granular Computing. Wiley, New York (2008)

    Google Scholar 

  18. Pedrycz, W.: Granular Computing Analysis and Design of Intelligent Systems. Taylor & Francis, CRC Press, Boca Raton (2013)

    Book  Google Scholar 

  19. Pollak, B. (ed.): Ultra-Large-Scale Systems. The Software Challenge of the Future. Software Engineering Institute. CMU, Pittsburgh (2006)

    Google Scholar 

  20. Rozenberg, G., Bäck, T., Kok, J. (eds.): Handbook of Natural Computing. Springer, Heidelberg (2012)

    MATH  Google Scholar 

  21. Skowron, A., Jankowski, A., Wasilewski, P.: Risk management and interactive computational systems. J. Adv. Math. Appl. 1, 61–73 (2012)

    Google Scholar 

  22. Skowron, A., Pal, S.K., Nguyen, H.S. (eds.): Preface: Special issue on rough sets and fuzzy sets in natural computing. Theor. Comput. Sci. 412(42), 5816–5819 (2011)

    Google Scholar 

  23. Skowron, A., Stepaniuk, J.: Information granules and rough-neural computing. In: Pal, S.K., et al. (eds.) Rough-Neural Computing: Techniques for Computing with Words. Cognitive Technologies, pp. 43–84. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

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

    Article  Google Scholar 

  25. Skowron, A., Wasilewski, P.: Information systems in modeling interactive computations on granules. Theor. Comput. Sci. 412(42), 5939–5959 (2011)

    Article  MathSciNet  Google Scholar 

  26. Thiele, L.P.: The Heart of Judgment: Practical Wisdom, Neuroscience, and Narrative. Cambridge University Press, Cambridge (2010)

    Google Scholar 

  27. Zadeh, A.: Computing with Words: Principal Concepts and Ideas. STUDFUZZ, vol. 277. Springer, Heidelberg (2012)

    Book  Google Scholar 

  28. Zadeh, L.A.: Fuzzy sets and information granularity. In: Gupta, M., Ragade, R., Yager, R. (eds.) Advances in Fuzzy Set Theory and Applications, pp. 3–18. North-Holland Publishing Co., Amsterdam (1979)

    Google Scholar 

  29. Zadeh, L.A.: Fuzzy Logic = Computing With Words. IEEE Trans. Fuzzy Syst. 4, 103–111 (1996)

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  31. Zadeh, L.A.: From computing with numbers to computing with words - from manipulation of measurements to manipulation of perceptions. IEEE Trans. Circuits Syst. 45, 105–119 (1999)

    Article  MathSciNet  Google Scholar 

  32. Zadeh, L.A.: Foreword. In: Pal, S.K., et al. (eds.) Rough-Neural Computing: Techniques for Computing with Words. Cognitive Technologies. Springer, Heidelberg (2004)

    Google Scholar 

  33. Zadeh, L.A.: A new direction in AI: toward a computational theory of perceptions. AI Mag. 22(1), 73–84 (2001)

    MATH  Google Scholar 

  34. Zhong, N., Ma, J.H., Huang, R., Liu, J., Yao, Y., Zhang, Y.X., Chen, J.: Research challenges and perspectives on Wisdom Web of Things (W2T). J. Supercomput. 64, 862–882 (2013)

    Article  Google Scholar 

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Skowron, A., Jankowski, A. (2015). Interactive Granular Computing. In: Ciucci, D., Wang, G., Mitra, S., Wu, WZ. (eds) Rough Sets and Knowledge Technology. RSKT 2015. Lecture Notes in Computer Science(), vol 9436. Springer, Cham. https://doi.org/10.1007/978-3-319-25754-9_5

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