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The Recurrence of Dynamic Fuzzy Systems

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概要 This paper analyses a recurrent behavior of dynamic fuzzy systems defined by fuzzy relations on a Euclidean space. By introducing a recurrence for crisp sets, we prove probability-t heoretical propert...ies for the fuzzy systems. In the contractive case in $ left[5\right]$, the existence of the maxiinuin recurrent set is proved. As another case, we introduce a inonotonicity for fuzzy relations, which is extended froin the linear structure in$ left [11\right]$. In the monotone case we prove the existence of the arcwise connected rnaxiilzal recurrent sets.続きを見る

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登録日 2009.04.22
更新日 2017.01.20