计算机工程与应用 ›› 2017, Vol. 53 ›› Issue (9): 38-40.DOI: 10.3778/j.issn.1002-8331.1511-0145
• 理论与研发 • 上一篇 下一篇
路玲霞
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LU Lingxia
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摘要： 坡代数是元素的乘法小于等于每个因子的加法幂等的半环。以坡代数为取值域，证明了加权图范畴可以作为余反射子范畴嵌入到模糊图范畴中去；如果坡代数的乘法有单位元，则这种嵌入还具有反射性。
关键词: 坡代数, 加权图, 模糊图, （余）反射子范畴
Abstract: Inclines are additively idempotent semirings in which products are less than or equal to either factor. For an idempotent semiring as the codomain, this paper shows that the category of weighted graphs can be simultaneously embedded in the category of fuzzy graphs as a reflective and coreflective subcategory.
Key words: incline algebra, weighted graph, fuzzy graph, （co）reflective subcategory
路玲霞. 值域为坡代数的加权图和模糊图的范畴关系[J]. 计算机工程与应用, 2017, 53(9): 38-40.
LU Lingxia. Categorical relations between weighted graphs and fuzzy graphs ranged in incline algebras[J]. Computer Engineering and Applications, 2017, 53(9): 38-40.
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链接本文: http://cea.ceaj.org/CN/10.3778/j.issn.1002-8331.1511-0145
http://cea.ceaj.org/CN/Y2017/V53/I9/38
