Graded Logic Aggregation

  • Jozo Dujmović
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11144)


This paper summarizes basic properties of graded logic – a natural soft computing generalization of classical Boolean logic. Using graded logic aggregators we can build evaluation criteria and apply them in decision engineering. This paper is an extended summary that surveys key concepts of graded logic and graded logic aggregation.


Graded logic Soft computing GCD Evaluation Logic aggregation Boolean logic 


  1. 1.
    Boole, G.: An Investigation of the Laws of Thought, on Which are Founded the Mathematical Theories of Logic and Probabilities. Macmillan, London (1854)zbMATHGoogle Scholar
  2. 2.
    Dujmović, J.: Weighted conjunctive and disjunctive means and their application in system evaluation. J. Univ. Belgrade EE Dept. Ser. Math. Phys. 483, 147–158 (1974).
  3. 3.
    Zimmermann, H.-J.: Fuzzy Set Theory and Its Applications. Springer, New York (1996). Scholar
  4. 4.
    Dujmović, J.: Two integrals related to means. J. Univ. Belgrade EE Dept. Ser. Math. Phys. 412–460, 231–232 (1973).
  5. 5.
    Dujmović, J.: Weighted compensative logic with adjustable threshold andness and orness. IEEE Trans. Fuzzy Syst. 23(2), 270–290 (2015)CrossRefGoogle Scholar
  6. 6.
    Beliakov, G., Pradera, A., Calvo, T.: Aggregation Functions: A Guide for Practitioners. Springer, Berlin (2007). Scholar
  7. 7.
    Grabisch, M., Marichal, J.-L., Mesiar, R., Pap, E.: Aggregation Functions. Cambridge University Press, Cambridge (2009)CrossRefGoogle Scholar
  8. 8.
    Dujmović, J.: Soft Computing Evaluation Logic. Wiley, Hoboken (2018)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.San Francisco State UniversitySan FranciscoUSA

Personalised recommendations