Based on the concepts of the fuzzy weighted distance between the assessed sample and the classification standards and the membership grade,a fuzzy identity method is proposed and applied to the port air quality assessment.

Samples weights are properly solved through introducing the concept of weighted distance between weighted sample and hyperplane.

The weighted distance between two adjacent intervals is defined using relative class frequency in the algorithm.

This paper pointted out some faults in some distance formulas of Vague set(value),and give a weighed distance formula of vague set.

A weighed distance formula of vague set was proposed.

According to the general characteristic of systems state assessment,this paper presented a method for assessing systems state based on the generalized weighted distance between the values of evaluated systems indices and their standard values.

Multi-Modal Data Fusion for Person Authentication based on Weighted Euclidean Distance Method;