A Generalization of Hukuhara Difference

  • Luciano Stefanini
Part of the Advances in Soft Computing book series (AINSC, volume 48)


We propose a generalization of the Hukuhara difference. First, the case of compact convex sets is examined; then, the results are applied to generalize the Hukuhara difference of fuzzy numbers, using their compact and convex level-cuts. Finally, a similar approach is seggested to attempt a generalization of division for real intervals and fuzzy numbers.


Hukuhara difference Interval and fuzzy arithmetic Fuzzy numbers Invertible fuzzy operations Interval and fuzzy calculus 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Luciano Stefanini
    • 1
  1. 1.Department of Economics and Quantitative Methods (DEMQ) and Faculty of conomicsUniversity of UrbinoUrbinoItaly

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