Algebraic Model For Describing And Analyzing Spatial Situations

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"...

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Bibliographic Details
Published inMediterranean Conference on Embedded Computing (New Jersey. Online) pp. 1 - 4
Main Author Filatov, I. Yu
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2020
Subjects
Aircraft navigation
Algebra
Analytical models
artificial intelligence systems
Embedded computing
formalization of spatial relationships
fuzzy logic
Graphics
logics of space
Meters
Search problems
situation analysis
unification theory
universal algebra
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Summary: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.
ISSN:2637-9511
DOI:10.1109/MECO49872.2020.9134074