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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 Holder inequality, the Minkowski inequality, and the Jensen inequality. After that, linearity, monotonicity, and continuity of critical values of fuzzy rough variables are also investigated.
- 出版日期2015-8-28
- 单位上海大学
