基于模糊回归的模糊决策模型的设计与实现

在数学期望和方差的基础上,提出模糊期望和模糊方差的概念,并以此为理论依据提出模糊回归分析,建立了一个实用的模糊决策模型,并举例说明了模型的应用效果.实例的决策结果表明,与传统的回归模型相比,此模糊回归模型可以根据实际需要确定回归次数,使回归分析中的病态数据和不良信息对决策结果的干扰不断减小,直到令人满意为止.把模糊数学的知识应用到决策分析中,使模糊集参与决策,可以提高决策结果的准确性和可信度.

Design and Realization of Fuzzy Decision Making Model Based on Fuzzy Regress

The concept of fuzzy expectation and fuzzy variance is put forward based on expectation and variance. This concept is taken as theoretical basis to put forward fuzzy regress analysis and establish a practical model of fuzzy decision making. Finally giving an example explains the application effect of model. Decision result of the example shows , with traditional regress model compared, this fuzzy regress model can determine regress frequency according to actual needs, it can make the disturbing of morbid data and bad information in regress analysis to the result reducing continuously little, up to reach make us satisfy. It can be explained , that if fuzzy math is applied into decision analysis by making fuzzy sets to participate in decision making, it can raise accuracy and reliability of the decision result.