| 摘要: |
| 针对Z-number效用的问题,提出了离散型Z-number效用的计算方法。首先,针对离散型Z-number的隶属度值的两种分布类型,基于3σ原则和线性函数分别提出了两种不同的将离散型模糊数转化成高斯模糊数和三角模糊数的方法,从而将离散型Z-number转化成连续型Z-number;然后结合连续型Znumber的效用函数,针对转化后的Z-number的4种情形,给出了离散型Z-number效用的计算方法;最后,通过一个多属性决策实例,利用提出的转化方法和计算方法将目标属性信息转化成效用值,并结合基于信息熵的多属性决策方法,给出决策目标的最优排序,从而展现两种离散模糊数的转化方法以及离散型Z-number效用计算方法的可行性和有效性。 |
| 关键词: 离散型Z-number 3σ准则 线性函数 Z-number效用 多属性决策 |
| DOI： |
| 分类号: |
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| Calculation Method of Utility of Discrete Z-number and Its Application |
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WU Min-chao, MAO Jun-jun, YAO Deng-bao
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| Abstract: |
| In order to solve the problem of utility of Z-number, a method of calculating the utility of discrete Z-number is proposed. Firstly, according to the two distribution patterns of membership value of the discrete Z-number, the two different methods of transforming discrete fuzzy number into Gauss fuzzy number and triangular fuzzy number are proposed based on 3σ principle and linear function respectively, so that the discrete Z-number is transformed into continuous Z-number. Then based on the utility function of continuous Z-number and the four situations of Z-number after being transformed, the calculation method of utility of the discrete Z-number is proposed. Finally, through a multi-attribute decision-making case, the proposed transforming methods and calculation method are used to transform objective attribute information into utility value, via multiple attribute decision-making method based on information entropy, the optimal sorting of decision-making objective is given, so that the effectiveness and feasibility of transforming method for the two discrete fuzzy numbers and calculation method of the utility of the discrete Z-number are verified. |
| Key words: discrete Z-number 3σ principle linear function Z-number utility multiple attribute decision-making |
