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Algebraic Model For Describing And Analyzing Spatial Situations

机译:描述和分析空间情况的代数模型

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The word “algebra” refers not only to a section of mathematics, but also to one of the specific objects studied in this section. “Algebra” in the narrow sense of the word is not considered here, and therefore for brevity and to avoid misunderstandings, the word “algebra” in this paper will be used as a generic concept to refer to a variety of algebraic structures. To formalize the subject area using spatial relations between objects it is possible to define algebraic model. When solving the problem of positioning, using universal algebras, it is possible to create terms that describe the surrounding environment. The universal algebra introduced in the way described in the paper allows us to formally describe any objects, including fragments of search queries and information areas. Using the results of formalization of information objects based on spatial logic and unification theory, an alternative solution to the problem of searching for information in the environment of weakly structured data is possible.
机译:“代数”一词不仅指数学的一部分,而且指这一部分研究的特定对象之一。这里不考虑狭义的“代数”,因此为了简洁和避免误解,本文中的“代数”一词将用作泛指各种代数结构的概念。为了使用对象之间的空间关系来对主题区域进行形式化,可以定义代数模型。使用通用代数解决定位问题时,可以创建描述周围环境的术语。以本文描述的方式引入的通用代数使我们可以正式描述任何对象,包括搜索查询和信息区域的片段。使用基于空间逻辑和统一理论的信息对象形式化的结果,可以解决结构较弱的数据环境中的信息搜索问题。

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