A note on inequalities and critical values of fuzzy rough variables

被引：0
|
作者：
Mingxuan Zhao
Jing Liu
Ke Wang
机构：
[1] Shanghai University,School of Management
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
fuzzy rough variable; expected value operator; chance measure; critical value;
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摘要：
A fuzzy rough variable is defined as a rough variable on the universal set of fuzzy variables, or a rough variable taking ‘fuzzy variable’ values. In order to further discuss the mathematical properties of fuzzy rough variables, this paper extends some inequalities to the context of fuzzy rough theory based on the chance measure and the expected value operator, involving the Markov inequality, the Chebyshev inequality, the Hölder inequality, the Minkowski inequality, and the Jensen inequality. After that, linearity, monotonicity, and continuity of critical values of fuzzy rough variables are also investigated.
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