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

N-Tuple Algebra as a Unifying System to Process Data and Knowledge
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Author(s): Boris Alexandrovich Kulik (Institute of Problems in Mechanical Engineering RAS, Russia) and Alexander Yakovlevich Fridman (Institute for Informatics and Mathematical Modelling, Kola Science Centre of RAS, Russia)
Copyright: 2018
Pages: 11
Source title: Encyclopedia of Information Science and Technology, Fourth Edition
Source Author(s)/Editor(s): Mehdi Khosrow-Pour, D.B.A. (Information Resources Management Association, USA)
DOI: 10.4018/978-1-5225-2255-3.ch173

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Abstract

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).

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