Article ID Journal Published Year Pages File Type
390575 Fuzzy Sets and Systems 2010 21 Pages PDF
Abstract

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.

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Physical Sciences and Engineering Computer Science Artificial Intelligence