Rough variables with values in measurable spaces

Authors:
Le Liu;Yuanguo Zhu
Affiliations:
Department of Applied Mathematics, Luoyang Normal University, Luoyang, Henan 471022, People's Republic of China;Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, People's Republic of China
Venue:
Information Sciences: an International Journal
Year:
2007

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Abstract

An X-valued rough variable is introduced as a measurable function from a rough space to a measurable space X. Based on the concept of X-valued rough variables, some properties of X-valued rough variables are studied. Furthermore, the concept of χ-convergence is presented, and χ-convergence of X-valued rough variables is discussed.