论文标题
关于模糊数字的可接受命令
Admissible orders on fuzzy numbers
论文作者
论文摘要
从文献中提出的模糊数字的200多个部分订单中，总共只有少数几个。在本文中，我们介绍了配备部分订单的模糊数字的可接受命令概念，即完善部分订单的总订单。特别是，特别关注Klir和Yuan在1995年提出的部分顺序。此外，我们提出了一种方法，该方法是按照严格增加的上限序列定义的线性订单来构建模糊数字的可接受订单，证明该顺序是可以给定的部分顺序的。最后，我们使用可接受的订单来对模糊加权图中的路径成本进行排名。
From the more than two hundred partial orders for fuzzy numbers proposed in the literature, only a few are total. In this paper, we introduce the notion of admissible order for fuzzy numbers equipped with a partial order, i.e. a total order which refines the partial order. In particular, it is given special attention to the partial order proposed by Klir and Yuan in 1995. Moreover, we propose a method to construct admissible orders on fuzzy numbers in terms of linear orders defined for intervals considering a strictly increasing upper dense sequence, proving that this order is admissible for a given partial order. Finally, we use admissible orders to ranking the path costs in fuzzy weighted graphs.
