By means of the AHP theory, the essay divides the comprehensive evaluation indexes of urban transit planning into five categories, respectively including the evaluation on technique, economic benefit, engineering construction, social benefit and environmental influence, and finally, confirms the evaluation index and index subjection degree of each of the five categories.

The subject relationship between the AM500 shearer malfunction omen and reason is fuzzy,therefore,draw fuzzy mathematic method into shearer malfunction diagnosis,bring forward setting up the fuzzy membership grade method which is based on the history data and expert preferential ordinal number,found the fuzzy diagnostic model,carry out the fuzzy diagnosis on AM500 shearer malfunction in computer.

The membership grade targets of fuzzing mathematics are applied in selecting a first rate mining method from five methods on the mining conditions of gently dip middlings of Jianshan gold mine and the same mining method from abroad for reference .

A new evaluation approach known as the multiobjective synthetical membership grade deviation is discussed,and its application,this paper.

The grey number decision making based on TOPSIS and subordinate function;

Through establish fuzzy collective of oxide,fix (it's) differentiate reference data from subordinate function,according suitable degree to differentiate acidity and basicity of oxide.

This paper applied subordinate function of fuzzy mathemetics to the classfication of rock drillability.

Approach of removing noises and outliers for SVM based on fuzzy membership;

Determination method of membership of Fuzzy SVM;

Fuzzy support vector machine algorithm with dual membership;

Based on gray relational theory,the concepts of relational dispersed degree and subordinate degree were introduced to improve grey identification method.

A comprehensive assessment model of water quality was set up based on subordinate degree and genetic neural network.

As regard to the standard for the environmental quality of the surface water, the subordinate degree function in the difference of the water quality and potential power parameters has been established in accordance with the fuzzy mathematics theory.

Test of direct fuzzy statistics and stability analysis of absolute membership degree in flooding season;

Fuzzy matter-element model based on improved membership degree for comprehensive assessment of water resources carrying capacity in river basins

The paper is aimed at the decision-making of raw material mixture adopted in domestic medium-size blast furnace by using multi-objective comprehensive evaluation method, and gives the best fuzzy decision-making according to the principle of the greatest membership degree.