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