Rough mereology

  • Lech Polkowski
  • Andrzej Skowron
Communications Approximate Reasoning
Part of the Lecture Notes in Computer Science book series (LNCS, volume 869)


We show how to organize a collection of intelligent cooperating agents into a rough mereological controller for the purpose of assembling a complex object with desired quality from its elementary parts. This scheme for synthesis of a complex object from its elementary parts provides a framework for e.g. quality control in concurrent engineering as well as cooperative problem-solving.


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  1. 1.
    Lesniewski, S.: Foundations of the general theory of sets (in Polish), Moscow, 1916; engl. transl. in:Surma, Srzednicki, Barnett, Rickey (eds.), Stanislaw Lesniewski, Collected Works, Kluwer, Dordrecht (1992).Google Scholar
  2. 2.
    Mamdani, E.H., Assilian, S.: An experiment in linguistic synthesis with a fuzzy logic controller, International Journal of Man-Machine Studies, 7 (1975) 1–13.Google Scholar
  3. 3.
    Pawlak, Z.: Rough Sets:Theoretical Aspects of Reasoning about Data, Kluwer, Dordrecht (1991).Google Scholar
  4. 4.
    Pawlak, Z., Skowron, A.: Rough membership functions in: Fedrizzi, M., Kacprzyk, J., Yager, R.R., eds., Advances in the Dempster-Shafer Theory of Evidence, Wiley, New York, (1994), 251–271.Google Scholar
  5. 5.
    Polkowski, L., Skowron, A.: Rough mereology, ICS Research Report 11/94, Institute of Computer Sci., Warsaw Univ. Technology, (1994).Google Scholar
  6. 6.
    Polkowski, L., Skowron, A.: Logic of rough inclusion. Rough mereological functions. Rough functions, ICS Research Report 12/94, Institute of Computer Sci., Warsaw Univ. Technology, (1994).Google Scholar
  7. 7.
    Pyzdek, T., Berger, R.: Quality Engineering Handbook, ASQC Quality Press, Milwaukee, (1991).Google Scholar
  8. 8.
    Rembold, U., Nnaji, B.O.: Storr, A., Computer Integrated Manufacturing and Engineering, Addison-Wesley, Wokingham, (1993).Google Scholar
  9. 9.
    Sriram, D., Logcher, R., Fukuda, S.: Computer — Aided Cooperative Product Development, LNCS 492, Springer-Verlag, Berlin Heidelberg, (1991).Google Scholar
  10. 10.
    Zadeh, L.: Fuzzy sets, Information and Control, 8 (1965), 338–353.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Lech Polkowski
    • 1
  • Andrzej Skowron
    • 2
  1. 1.Institute of MathematicsWarsaw University of TechnologyWarsawPoland
  2. 2.Institute of MathematicsWarsaw UniversityWarsawPoland

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