文卡塔萨布拉曼尼亚的理论的一个重要意义是重新诠释了熵，熵本来用于科学地测量热力学的无序性和信息理论的不确定性。
A key idea in Venkatasubramanian's theory is a new interpretation of entropy, used in science to measure disorder in thermodynamics and uncertainty in information theory.
全文的主要内容如下：针对粗糙集中存在的不确定性和模糊性，提出了新的熵测量方法。
The main contents of the dissertation are as follows: the entropy methods to measure the uncertainty and the fuzziness in rough sets are proposed.
这些不确定性信息或是随机性的、或是模糊性的、或是复合不确定性，可分别用概率熵、模糊熵和混合熵来度量。
The uncertain information may be probable, or fuzzy, or have compound uncertainty, and can be measured respectively with probability entropy, fuzzy entropy and hybrid entropy.
该方法借助信息熵的性质充分考查规则集整体的确定性和不确定性问题。
With the help of the nature of information entropy, this method examines the whole certainty and uncertainty of rules set fully.
通过分析和实例可以看出，所提出的修正粗糙熵方法可以用来更合理、更精确地测量粗糙集中的不确定性。
The analysis and real example show that the modified rough entropy method for measuring uncertainty in rough sets is more reasonable and more accurate than the classical methods.
并研究了与普通集合和模糊集合的不确定性相对应的粗糙信息熵，以及这两种集合的不确定性与其对应的粗糙信息熵之间的单调关系。
The rough entropy of the uncertainty of ordinary set and fuzzy set, and the monotonous relation between the uncertainty of these two kinds of set and their corresponding rough entropy, are discussed.
鉴于水质评价中各指标的不确定性和模糊性，将熵值理论与模糊物元建模相结合，应用于水质综合评价中，建立了基于熵权的模糊物元模型。
In view of the uncertainty of indexes for evaluating water quality the entropy value theory is applied to combine with fuzzy matter-element method to establish an entropy fuzzy matter-element model.
粗糙集的不确定性度量方法，目前主要包括粗糙集的粗糙度、粗糙熵、模糊度和模糊熵。
Rougness, rough entropy, fuzziness, and fuzzy entropy are major methods for measuring the uncertainty of rough sets.
以GIS中线元不确定性为例，讨论了线元不确定性的统计熵、模糊熵和混合熵估计方法，并针对特例给出了线元不确定性的熵带分布。
Taking the uncertainty of line segment as an example, this paper discusses the evaluating methods of statistic entropy, fuzziness entropy, and hybrid entropy...
以GIS中线元不确定性为例，讨论了线元不确定性的统计熵、模糊熵和混合熵估计方法，并针对特例给出了线元不确定性的熵带分布。
Taking the uncertainty of line segment as an example, this paper discusses the evaluating methods of statistic entropy, fuzziness entropy, and hybrid entropy...
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