Real-Time Fuzzy Data Processing Based on a Computational Library of Analytic Models

Yuriy Kondratenko and Nina Kondratenko
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Yuriy Kondratenko: Intelligent Information Systems Department, Petro Mohyla Black Sea National University, 54003 Mykolaiv, Ukraine
Nina Kondratenko: Darla Moore School of Business, University of South Carolina, Columbia, SC 29208, USA

Data, 2018, vol. 3, issue 4, 1-19

Abstract: This work focuses on fuzzy data processing in control and decision-making systems based on the transformation of real-timeseries and high-frequency data to fuzzy sets with further implementation of diverse fuzzy arithmetic operations. Special attention was paid to the synthesis of the computational library of horizontal and vertical analytic models for fuzzy sets as the results of fuzzy arithmetic operations. The usage of the developed computational library allows increasing the operating speed and accuracy of fuzzy data processing in real time. A computational library was formed for computing of such fuzzy arithmetic operations as fuzzy-maximum. Fuzzy sets as components of fuzzy data processing were chosen as triangular fuzzy numbers. The analytic models were developed based on the analysis of the intersection points between left and right branches of considered triangular fuzzy numbers with different relations between their parameters. Our study introduces the mask for the evaluation of the relations between corresponding parameters of fuzzy numbers that allows to determine the appropriate model from the computational library in automatic mode. The simulation results confirm the efficiency of the proposed computational library for different applications.

Keywords: big data; fuzzy set; vertical and horizontal models; maximum; computational library; real-time data processing (search for similar items in EconPapers)
JEL-codes: C8 C80 C81 C82 C83 (search for similar items in EconPapers)
Date: 2018
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