Soft Methods for Handling Variability and Imprecision

Volume 48 of the series Advances in Soft Computing pp 203-210

A Generalization of Hukuhara Difference

  • Luciano StefaniniAffiliated withDepartment of Economics and Quantitative Methods (DEMQ) and Faculty of conomics, University of Urbino

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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