Integration of Fuzzy Granular and Ontological Methods for Time Series Analysis

Nadezhda Glebovna Yarushkina, Ulyanovsk State Technical University, Doctor of Engineering, Professor, First Vice-Rector - Vice-Rector for Science of Ulyanovsk State Technical University; graduated from the Faculty of Radioengineering of Ulyanovsk State Technical University ; an author of more than 250 papers in the field of soft computing, fuzzy logic, and hybrid systems. [e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. ]N. Yarushkina,

Tatiana Vasilevna Afanaseva, Ulyanovsk State Technical University, Doctor of Engineering; Associate Professor, Deputy Head of Information Systems Department at Ulyanovsk State Technical University; graduated from the Faculty of Radioengineering at Ulyanovsk State Technical University; an author of articles and monographs in the field of time series data mining. [e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. ]T. Afanaseva,

Aleksei Mikhailovich Namestnikov, Ulyanovsk State Technical University, Candidate of Engineering, Associate Professor, Associate Professor at the Department of Information Systems at Ulyanovsk State Technical University; graduated from the Faculty of Radioengineering of Ulyanovsk State Technical University; an author of articles and a monograph in the field of intelligent systems for storage and processing of information. [e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. ]A. Namestnikov,

Gleb Iurevich Guskov, Ulyanovsk State Technical University, Post-Graduate Student of the Department of Information Systems at Ulyanovsk State Technical University; graduated from the Faculty of Information Systems and Technologies at Ulyanovsk State Technical University; an author of articles in the field of time series data mining. [e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. ]G. Guskov

Integration of Fuzzy Granular and Ontological Methods for Time Series Analysis 000_8.pdf

The theoretical and methodological foundations of fuzzy granular modeling were developed to solve the problem of fuzzy trend analysis of time series. Their practical implementation as a program complex allows to get the solution of some applied problems. Fuzzy granular presentation of time series includes five levels: from numeric value granulation to the main trend granulation. The authors propose to use fuzzy ontologies of problem area to interpret the results of time series analysis. he problem area fuzzy ontologies were offered to interpret the results of time series analysis. The ontology basis is based on the RDF model that defines classes, instances, ontological relationships, and contingencies. The logical interference of recommendation is realized on the basis of interaction between fuzzy OWL ontology and rule-oriented SWRL rules system. The article deals with the possibilities of integration of several methods of time series forecasting and corresponding aggregates. The integration of techniques for time series analysis and ontological analysis demonstrates the competitiveness of fuzzy trend models based on the mutual reinforcement of ontological and fuzzy granular methods.

Fuzzy time series, fuzzy tendencies, ontology, fuzzy ontology.