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Cybernetics and programming
Reference:

Logical correction algorithms for qualitative analysis of the subject area in pattern recognition problems

Lyutikova Larisa Adol'fovna

PhD in Physics and Mathematics

Head of department, Institute of Applied Mathematics and Automation

360000, Russia, respublika Kabardino-Balkariya, g. Nal'chik, ul. Shortanova, 89a

lylarisa@yandex.ru
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Shmatova Elena Vital'evna

graduate student, Department of Intellectualization of Information and Control Systems, Institute of Applied Mathematics and Automation

360000, Russia, Kabardino-Balkariya, g. Nal'chik, ul. Shortanova, 89a

lenavsh@yandex.ru
Другие публикации этого автора
 

 

DOI:

10.7256/2306-4196.2015.5.16368

Review date:

11-09-2015


Publish date:

27-11-2015


Abstract: The subject of the research are methods and algorithms aimed at practical solution of problems of pattern recognition in the weakly formalized fields of knowledge, such as medical field, technical field, geological reconnaissance diagnostics, forecasting and construction of expert systems. The solutions of such problems entered into use a large number of incorrect (heuristic) algorithms. The authors focus on such aspects as the need for the development of the theory of corrective operations, the necessity for the synthesis of correct algorithms minimum complexity, solving the stability issues by using mathematical methods. Special attention is paid to the construction of the algorithm, correct on the whole set of recognizable objects, based on existing algorithms and decision rules drawn up for the studied area. The logical approach may be a technology of constructing a theory of the synthesis of the correct recognition algorithms based on existing family of algorithms. The article shows that these methods allow creating algorithms that implement certain expert conclusion, despite the lack of adequate mathematical models of the relationships between image and its properties, incomplete and contradictory of data. The main conclusion of the research is in a logical analysis of a given subject area, in terms of variables valued logic. The authors propose approaches to the design of procedures for recognition of precedents on the basis of incorrect set of algorithms and constructed logical decision rules. The main contribution of the authors in the study of the topic is the proposed algorithm, expanding the area of the solutions obtained and correct on the whole set of recognizable objects. The novelty of the study is the use of variables valued logic that improves the correctness of encoded information and increase the expressiveness of the conclusions.


Keywords: algorithm, training set, a set of data, knowledge base, the subject area, logic of varied values, clauses, the decision rule, operation logic of varied values, correct algorithm
This article written in Russian. You can find full text of article in Russian here .

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