模糊度的性质及其不一致性

Properties and nonconsitency of measure of fuzzmess

对模糊度的性质进行了讨论,得到了一些有意义的结果,这些结果为模糊度理论的完善及在实际应用中如何选择适当的模糊度奠定了初步的基础;提出了模糊度定义的不一致性,并通过实例对几个常用的模糊度的计算公式的不一致性进行了验证;同时指出了模糊度定义的不一致性在图像处理中应用时可能会产生的影响,并做了初步的理论分析.

In this paper, the authors first study properties of measure of fuzziness, and obtain some significative conclusions, those should establish a base in perfecting theory of measure of fuzziness and how to select proper measure of fuzziness in application. In addition, this paper indicates nonconsitency of definitions of measure of fuzziness, and validates that fact using some examples. Finally, we give elementary theoretic analysis for possible negative influence from nonconsitency of definitions of measure of fuzziness, when theory of measure of fuzziness applies to image processing.