Mathematics and Statistics “ A generalization of Hukuhara difference for interval and fuzzy arithmetic

Mathematics and Statistics “ A generalization of Hukuhara difference for interval and fuzzy arithmetic
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发表时间:
2008
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通讯作者:
Luciano Stefanini
Luciano Stefanini
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其他
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作者:
Luciano Stefanini

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我们提出了对虎原差异的概括。首先,研究紧凸集的情况;然后,利用模糊数的紧性和凸性水平切割推广模糊数的Hukuhara差分。最后,提出了一种类似的方法来尝试对实区间的除法进行推广。
We propose a generalization of the Hukuhara di¤erence. First, the case of compact convex sets is examined; then, the results are applied to generalize the Hukuhara di¤erence 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.