This paper investigated systematically the effect of fuzzy subset number in the fuzzy control of an induction motor drive.

Application of evidence theory to the ship security assessment using fuzzy subset;

An order on the setof fuzzy subsets in a ring;

The events of evidence body space were seen as fuzzy subsets,with the fuzzy probability introduced,and the opinion(or knowledge) of experts could be described much better,and the basic probabilityassignment was also given.

The paper has introduced the concept of fuzzy entropy of fuzzy sets theory to image segmentation,and we give out one new image segmentation algorithm,that is according to the characteristic of infrared image,using a linear fuzzy subject function to calculate the maximum fuzzy entropy,then to fine the image segmentation threshold.

Through the caculation and analysis of the fuzziness and nearness of the fuzzy sets, the following conclusions are obtained: the uncertainties of germ terminal velocities are larger than grits ; the effects of sizes of germ and grits on the terminal velocities are more than water contents.

A reliable learning procedure for the neural network based on BP algorithm was suggested and the relationship among the number of fuzzy sets and the complexity and accuracy of fuzzy controller was investigated.

In applying fuzzy systems, a common problem is that there may exist redundant fuzzy subsets and rules, which can on the one hand increase the complexity of the fuzzy system and waste the computational capacity, and on the other hand make it difficult to describe the fuzzy system with natural language.