In the fifth part, establishing some index and a mathematical model based on extension mathematics to do quantitative analysis for the project financing risk in infrastructure construction.
Finally, the paper brings forward elementary structure of establishing the risk guarding mechanism of enterprises' foreign direct investment, and introduces the risk management mechanism, which uses the connection function of the extension mathematics to class the investment risk.
Make use of multi-factor non-linear extension mathematics synthesis evaluate method, to analyze the every kind of influence factor that develop of science-technology, and make use of the certain evaluation factor of analysis method of main composition, to establish the extension synthesis evaluation′s matter-element model of science-technology develop condition.
Through the combination of the qualitative analysis and quantitative analysis,the recycled products are classified into four grades. By the use of the extension mathematics,the weight of the factors can be determined through the correlation function,which is used to calculate the correlation degrees of the recycled products for each grade. Comparing the correlatiom degree of a product with that of each grade set,the products can be classified accordingly.
The superiority evaluation method based on the dependent function has been proposed to deal with the program evaluating problem in the decision process of power network planning in this paper.
According to the characteristics of cultivated land utilization,applying to matter-element model,extension method,independent function theory,we build up a matter-element model of the synthetic evaluation of the sustainable utilization of cultivated land.
The extension mathematics is a branch of modern mathematics different from classical mathematics and Fuzzy mathematics. The extension mathematics provides some specific methods for solving the noncapacitative problems. The objective of this paper is to introduce the defination,object of study, contents and basic methods of extension mathematics.
Starting with several important extensions, this paper discusses the actual background in which extension set has been developed the relationships between extension set and classical set or between extension set and fuzzy set. The paper further deals with the theoretical basis on which extension field can change inconsistent problems into the consistent through mapping or transformation. It also proves the nonempty of extension set, and thereforeit settles a mathematical foundation of objects both right and...
In this paper , the advantageous influence of theory of extesion sets on the development of mathematics , such as mathematical sense , mathematical method . mathematical research field and the developmental orientation are analyzed. The paper further points out it is an inexorable trend to establish extension mathematics.