N-Tuple Algebra as a Unifying System to Process Data and Knowledge

Information technologies for analysis and processing heterogeneous data often face the necessity to unify representation of such data. To solve this problem, it seems reasonable to search for a universal structure that would allow for reducing different formats of data and knowledge to a single mathematical model with unitized manipulation methods. The concept of relation looks very prospective in this sense. So, with a view to developing a general theory of relations, the authors propose n-tuple algebra (NTA) developed as a theoretical generalization of structures and methods applicable in intelligence systems. NTA allows for formalizing a wide set of logical problems (deductive, abductive and modified reasoning, modeling uncertainties, and so on).

N-Tuple Algebra as a Unifying System to Process Data and Knowledge

Information technologies for analysis and processing heterogeneous data often face the necessity to unify representation of such data. To solve this problem, it seems reasonable to search for a universal structure that would allow for reducing different formats of data and knowledge to a single mathematical model with unitized manipulation methods. The concept of relation looks very prospective in this sense. So, with a view to developing a general theory of relations, the authors propose n-tuple algebra (NTA) developed as a theoretical generalization of structures and methods applicable in intelligence systems. NTA allows for formalizing a wide set of logical problems (deductive, abductive and modified reasoning, modeling uncertainties and so on).

ALGEBRAIC APPROACH TO INFORMATION FUSION IN ONTOLOGY-BASED MODELING SYSTEMS

In this paper we discuss the possibilities to use algebraic methods (in particular, n-tuple algebra developed by the authors) to improve the functioning of convenient ontology-based modeling systems. An illustrative example shows the ways to unify representation and processing of two major parts of subject domain ontologies