摘要
单值中智集作为模糊集的一种推广,深入描述现实世界中大量存在的不确定信息.但是,单值中智集的现有得分函数区分效果不佳,而传统模糊评价方法在解决多属性决策问题上也不够准确.对此,提出一种基于单值中智集的改进得分函数及相应TOPSIS决策方法,有效实施多属性决策.首先基于中智集,分析现有得分函数缺陷,提出改进得分函数;研究新得分函数的单调性、取值范围,并分析与得到四种得分函数的大小关系.接着基于单值中智集的改进得分函数,建立TOPSIS决策方法,设计相关实现算法.最后,采用投资选择的具体实例,进行多方法对比分析,表明基于改进得分函数的新决策方法的合理性与有效性.
As a generalization of fuzzy set,single-valued neutrosophie sets(SVNSs)deeply characterize uncertainty information,which extensively exists in the real world.However,current score functions of SVNSs usually have poor discrimination effects,whereas the traditional method of fuzzy evaluation is not accurate enough for solving multi-attribute decision-making problems.Thus,an improved score function of SVNSs was proposed to establish a corresponding TOPSIS decision method,so as to implement multi-attribute decision-making.First based on SVNSs,defects of existing scoring functions were analyzed and revealed,and thus an improved scoring function was proposed;the new scoring function got its monotonicity and value ranges,and four types of scoring functions acquired their size relationships.Then according to the improved score function of SVNSs,the corresponding TOPSIS decision method was established,and its implementation algorithm was designed.Finally,a concrete example of investment selection was performed for comparative analysis of multiple decision approaches,and thus the rationality and effectiveness of new decision method driven by improved score function were demonstrated well.
作者
田中文
张贤勇
陈江
TIAN Zhongwen;ZHANG Xianyong;CHENG jiang(School of Mathematical Sciences,Sichuan Normal University,Chengdu 610066,China;Institute of Intelligent Information and Quantum Information,Sichuan Normal University,Chengdu 610066,China;School of Mathematics and Statistics,Sichuan University of Science and Engineering,Zigong 643000,China)
出处
《西南民族大学学报(自然科学版)》
2025年第4期455-463,共9页
Journal of Southwest Minzu University(Natural Science Edition)
基金
教育部人文社科规划基金项目(23YJA630114)
四川省自然科学基金项目(2024NSFSC0486)
四川省科技计划项目(2022ZYD0001)。
