The Mathematic Method of Membership Conversion from Degree of Coordinates to Degree of Points
In any multi-indexes uncertainty decisions, if choosing membership function to describe the uncertainty of every space-index value about some status, it must meet membership degree conversion, which must solve the conversion from membership degree of coordinates to membership degree of points. But the present methods affect the credibility of result of decision because of the redundant data. So, by mining knowledge information about points’ classification hidden in membership degree of every coordinates, affirming the relation between points’ classification and membership degree of coordinates; eliminating the redundant data in coordinates’ membership for points’ classification by defining distinguishable weight; constructing the mathematic method of conversion from membership degree of coordinates to membership degree of points without the interference of redundant data, providing method basis for solving key computation in multi-indexes uncertainty decisions.
Method of Second Fuzzy Comprehensive Safety Evaluation and Its Application to Oil Depot Safety Evaluation
By analyzing the hierarchy of safety factors in oil depot,they are divided into personnel,equipment,management and environment.After a study of safety index,evaluation methods and fuzzy arithmetic methods for each hierarchy,a for oil depot is built and its evaluating flow is given.During the evaluation,the weight of the factors and each hierarchy is decided by improved analytic hierarchy process(AHP),and the fuzzy operational criterion adopts weighted average method.This model is exemplified in an oil depot,and corresponding safety weakness and countermeasures in this depot are put forward.The result shows that the second fuzzy comprehensive evaluation model can avoid the subjective factors and has a good operability.
Nonlinear Optimization Based on Genetic Algorithm Toolbox of Matlab
Projection pursuit is a dimension-reduced data treatment method.It can change many dimensions' question into one dimension question by projection direction.It is difficult to search the best projection direction,but it can be solved by transforming a optimization question.By compiling object function and constraint function,a model of projection pursuit on air environmental quality assessment was solved based on genetic algorithm and direct search toolbox.Result indicated that the toolbox was efficient and practical to solve the above question especially other crossed researchers.