摘要
食品安全风险评价是食品安全管理中的重要内容和关键环节,科学合理性和公平公正性是好的评价体系的关键特性。传统的算术加权平均法和几何加权平均法均不能体现高分值分项对总项的决定性作用,模糊评价法无法满足严格单调性范式要求,且退化为非此即彼的选择算子。本文以欧式向量模长为基础,提出广义向量模长的概念,并以此作为分项到总项的映射手段。该方法可满足严格单调性范式要求,通过选择不同的参数值范围,不仅可以合理映射风险指数,也可以合理映射安全指数。通过实际数据验证表明,其可以构建优秀的评价体系。经严格的数学推导,证明加权平均法、几何平均法、模糊评价法等都是该映射方法在特殊参数下的实例。广义向量模长法是所有这些映射方法的统一形式,具有广泛的适应性。
Food safety risk assessment is an important content and key link in food safety management, and scientific rationality and fairness are the key features of a good evaluation system. The traditional arithmetic weighted average method and geometric weighted average method cannot reflect the decisive effect of high-scoring items on the total item,and the fuzzy evaluation method cannot meet the strictly monotonic paradigm requirements. Based on the Euclidian vector modulus length, this paper puts forward the concept of generalized vector modulus length, which is used as a method of score mapping from sub-items to total item. This method can meet the strict monotony paradigm requirement. By selecting different parameter value ranges, not only the risk index but also the safety index can be mapped reasonably. Verification by actual data shows that it can help build an excellent evaluation system. After rigorous mathematical derivation, it is proved that the weighted average method, geometric average method, fuzzy evaluation method, etc. are all examples of this proposed mapping method under special parameters. The generalized vector modulus method is a unified mapping form of all these evaluation methods, and has a wide range of adaptability.
作者
王建新
李腾旭
李中天
王晔茹
Wang Jianxin;Li Tengxu;Li Zhongtian;Wang Yeru(School of Information Science and Technology,Beijing Forestry University,Beijing 100083;Engineering Research Center for Forestry-oriented Intelligent Information Processing of National Administration,Beijing 100083;China National Center for Food Safety Risk Assessment,Beijing 100022)
出处
《中国食品学报》
EI
CAS
CSCD
北大核心
2022年第10期429-437,共9页
Journal of Chinese Institute Of Food Science and Technology
基金
国家重点研发计划项目(2019YFC1605903)
国家食品安全风险评估中心高层次人才队伍建设523项目。
关键词
食品安全
评价体系
欧式向量模长
模糊算子
广义向量模长
food safety
evaluation system
Euclidian vector modulus length
fuzzy operator
generalized vector modulus length
