Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
390575 | Fuzzy Sets and Systems | 2010 | 21 Pages |
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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