基于犹豫模糊多属性决策方法的农业现代化水平评价研究

Study on the Evaluation of Agricultural Modernization Level Based on the Method of Hesitant Fuzzy Multi-attribute Decision Making

农业现代化是一个国家长治久安的重要保障。为有效测量农业现代化水平,本文借助犹豫模糊集深入研究农业现代化水平评价问题。犹豫模糊集是一种新的处理不确定性问题的数学工具,它允许隶属函数具有[0,1]内的多个可能值。本文首先确定了农业现代化水平评价问题的备选方案和属性集,利用德尔菲法得到犹豫模糊矩阵,然后定义正、负理想犹豫模糊集,构建了一种新的相似性测量方法,最后通过实证分析,验证了方法的有效性。

Agricultural modernization is an important guarantee for the long-term stability of a country. In order to effectively measure the level of agricultural modernization,this paper studies the evaluation of agricultural modernization level in depth with the hesitant fuzzy set. The hesitant fuzzy set is a new mathematical tool to deal with the uncertainty problem,and it allows the membership function to have multiple possible values within the interval[0,1]. At first,this paper determines the alternatives and attribute sets of the evaluation of agricultural modernization level,and then a hesitant fuzzy matrix is obtained by using Delphi method. Afterward,this paper defines the positive and negative ideal hesitant fuzzy sets,and build a new method of similarity measure. Eventually,some countermeasures and suggestions to improve the level of agricultural modernization are provided by empirical analysis.