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Open AccessArticle

Incorporating Grey Total Influence into Tolerance Rough Sets for Classification Problems

by 1,2 and 2,*
1
College of Management & College of Tourism, Fujian Agriculture and Forestry University, Fuzhou 350002, China
2
Department of Business Administration, Chung Yuan Christian University, Taoyuan 32023, Taiwan
*
Author to whom correspondence should be addressed.
Appl. Sci. 2018, 8(7), 1173; https://doi.org/10.3390/app8071173
Received: 7 June 2018 / Revised: 12 July 2018 / Accepted: 13 July 2018 / Published: 18 July 2018
Tolerance-rough-set-based classifiers (TRSCs) are known to operate effectively on real-valued attributes for classification problems. This involves creating a tolerance relation that is defined by a distance function to estimate proximity between any pair of patterns. To improve the classification performance of the TRSC, distance may not be an appropriate means of estimating similarity. As certain relations hold among the patterns, it is interesting to consider similarity from the perspective of these relations. Thus, this study uses grey relational analysis to identify direct influences by generating a total influence matrix to verify the interdependence among patterns. In particular, to maintain the balance between a direct and a total influence matrix, an aggregated influence matrix is proposed to form the basis for the proposed grey-total-influence-based tolerance rough set (GTI-TRS) for pattern classification. A real-valued genetic algorithm is designed to generate the grey tolerance class of a pattern to yield high classification accuracy. The results of experiments showed that the classification accuracy obtained by the proposed method was comparable to those obtained by other rough-set-based methods. View Full-Text
Keywords: classification problems; tolerance rough set; grey relational analysis; genetic algorithm classification problems; tolerance rough set; grey relational analysis; genetic algorithm
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MDPI and ACS Style

Hu, Y.-C.; Chiu, Y.-J. Incorporating Grey Total Influence into Tolerance Rough Sets for Classification Problems. Appl. Sci. 2018, 8, 1173. https://doi.org/10.3390/app8071173

AMA Style

Hu Y-C, Chiu Y-J. Incorporating Grey Total Influence into Tolerance Rough Sets for Classification Problems. Applied Sciences. 2018; 8(7):1173. https://doi.org/10.3390/app8071173

Chicago/Turabian Style

Hu, Yi-Chung; Chiu, Yu-Jing. 2018. "Incorporating Grey Total Influence into Tolerance Rough Sets for Classification Problems" Appl. Sci. 8, no. 7: 1173. https://doi.org/10.3390/app8071173

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