G-TAG is a formalism dedicated to text generation. It relies on the Tree Adjoining Grammar (TAG) formalism and extends it with several specific notions allowing for the construction of a surface form from a conceptual representation. This conceptual representation is independent from the target language. The goal of this paper is to study G-TAG and its specific notions from the perspective give...

in this paper, we introduce the concept of semihyperring $(r,+,cdot)$ together with a suitable partial order $le$. moreover, we introduce and study hyperideals in ordered semihyperrings. simple ordered semihyperrings are defined and its characterizations are obtained. finally, we study some properties of quasi-simple and $b$-simple ordered semihyperrings.