A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
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 suggested to attempt a generalization of division for real intervals and fuzzy numbers. Applications to solving interval and fuzzy linear equations and fuzzy differential equations are shown. (C) 2009 Elsevier B.V. All rights reserved.
hukuhara difference fuzzy arithmetic fuzzy numbers generalized difference generalized division interval arithmetic