Double-Quantitative Integration of Three-Way Decisions and Three-Way Attentions
ZHANG Xianyong1,2, YANG Jilin2, TANG Xiao1,2
1.College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066 2. Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu 610066
Abstract The conditional probability used in three-way decisions only exhibits relativity, and thus the introduction and integration of absoluteness measures are useful for rule extraction. The absolute conditional probability is mined to establish three-way attentions, and the double-quantitative integration of three-way decisions and attentions is investigated. Firstly, the relative and absolute conditional probabilities are extracted, and their systematic relationships are analyzed to reveal their heterogeneity and complementarity. Then, three-way attentions are produced by the absolute conditional probability, and their double-quantitative integration with three-way decisions is made. Thus, the integrated region type and basic semantics (granule) system are achieved. Finally, a statistical decision table is provided for illustration. Based on the absolute conditional probability, three-way attentions become a new type of three-way patterns, and their double-quantitative integration with three-way decisions shows systematicness and applicability.
About author:: (ZHANG Xianyong(Corresponding author), born in 1978, Ph. D., associate professor. His research interests include rough sets, granular computing and data mining. ) (YANG Jilin, born in 1981, Ph. D., associate professor. Her research interests include rough sets and data mining.) (TANG Xiao, born in 1981, Ph. D., associate professor. His research interests include rough sets and granular computing.)
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2017, Vol. 30 
