A Generalization of Hukuhara Difference

  • Luciano Stefanini
Conference paper

DOI: 10.1007/978-3-540-85027-4_25

Part of the Advances in Soft Computing book series (AINSC, volume 48)
Cite this paper as:
Stefanini L. (2008) A Generalization of Hukuhara Difference. In: Dubois D., Lubiano M.A., Prade H., Gil M.Á., Grzegorzewski P., Hryniewicz O. (eds) Soft Methods for Handling Variability and Imprecision. Advances in Soft Computing, vol 48. Springer, Berlin, Heidelberg


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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