We present a relational representation of odd Sugihara chains. The elements of the algebra are represented as weakening relations over a particular poset which consists of two densely embedded copies of the rationals. Our construction mimics that of Maddux (2010) where a relational representation of the even Sugihara chains is given. An order automorphism between the two copies of the rationals is the key to ensuring that the identity element of the monoid is fixed by the involution.

翻译：本文提出奇Sugihara链的关系表示。该代数的元素被表示为特定偏序集上的弱化关系，该偏序集由两个稠密嵌入的有理数副本构成。我们的构造模仿了Maddux (2010)中偶Sugihara链的关系表示方案。两个有理数副本之间的序自同构是确保幺半群单位元被对合固定的关键。