论文标题

辩证性模糊培养皿网

Dialectica Fuzzy Petri Nets

论文作者

de Paiva, Valeria, Syropoulos, Apostolos

论文摘要

Brown和Gurr引入了基于De〜Paiva的辩证类类别的Petri网模型。该模型在未发表的技术报告中进行了完善,其中具有多重性的Petri Nets,而不是{\ em Elementary} Nets(即,考虑到零多重性,仅考虑一个网络)。在本说明中,我们扩展了此建模,以处理{\ em Fuzzy} petri网。基本思想是用作辩证神类别构建中的双重对象,这是具有{\ em lineale}结构的所有属性的单位间隔。

Brown and Gurr have introduced a model of Petri Nets that is based on de~Paiva's Dialectica categories. This model was refined in an unpublished technical report, where Petri nets with multiplicities, instead of {\em elementary} nets (i.e., nets with multiplicities zero and one only) were considered. In this note we expand this modelling to deal with {\em fuzzy} petri nets. The basic idea is to use as the dualizing object in the Dialectica categories construction, the unit interval that has all the properties of a {\em lineale} structure.

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