A truncation model is presented for the fuzzy variable with the non-closed membership function.

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.

Fuzzy statistic clustering theory may be applied to establish a subject function taking safety degree of banks as a clustering criterion to classify for quantitative analysis,and Shishou River is taken for an instance.

This paper analyses the main factors effecting partner selection in dynamic alliance and the ratio distribution of the goal,adopting coherence matrix,fuzzy subject function and genetic algorithm in analytic hierarchy process (AHP) to solve the problem of partner selection in dynamic alliance,and tests the feasibility and validity of the algorithm by carrying on instance emulation.

The theory of the fuzzy pattern recognition is described and the subject function with adjustable precision is studied in this paper.

A method of establishing multivariant membership functions is offered and three such functions are founded, which are employed in the classification of 47 coalfaces in good results.

The fuzzy probability of two typical structures in geomechanics engineering,underground diaphragm wall and retaining wall,is calculated by three representational membership functions and a probability density function for the performance function.

Fuzzy set theory is combined with high-order BP neural networks in this paper,and the structure and characteristic of high-order fuzzy BP neural networks and its two-orer algorithm and membership functions are introduced.

It picks up the features of air-attack weapons; sets up standard data-base of models; makes up the subjection function; and finally, presents an air-attack weapons identification based on fuzzy recognition.

Target threat criterions is quantified via analyzing the characteristics of air target threat and making use of subjection function in fuzzy mathematics.

Based on the single indices of an air conditioning system,this paper employs fuzzy mathematic fundamental theory and logic inferential method,educes the subjection functions of the single indices and adopts fuzzy comprehensive evaluation method to evaluate air conditioning systems.