摘要
TOPSIS是一种逼近理想解的多目标决策方法,将其引入到将否定区分为矛盾否定、对立否定和中介否定的模糊集FScom中,定义了模糊集FScom的模糊正理想解、中介理想解和负理想解,并结合模糊集FScom的贴近度,给出一种基于模糊集FScom的多属性决策方法,并将该方法用来解决地质灾害危险程度的排序问题。
TOPSIS is a kind of multi-objective decision making method by similarity to ideal solution. This idea is introduced to Fuzzy set FScom which divdes the negation into three kinds of negation, that is opposite negation,medium negation and contradictory negation.In this paper,the fuzzy positive ideal solution,medium ideal solution and fuzzy negative ideal solution of fuzzy set FScom is given,and puts forward the multiple attribute decision making method of fuzzy set FScom which combines the idea on TOPSIS and the similarity measure of fuzzy set FScom,and also this method is used to solve the scheduling problem of dangerous level of geologic hazards.
作者
杨磊
潘正华
YANG Lei;PAN Zheng-hua(College of Mathematics Science,Xingyi Normal University for Nationalities,Xingyi562400,China;School of Science,Jiangnan University,Wuxi214122,China)
出处
《模糊系统与数学》
北大核心
2018年第5期174-179,共6页
Fuzzy Systems and Mathematics
基金
贵州省教育厅自然科学研究青年项目(黔教合KY字[2014]319)
贵州省教育厅自然科学研究重点项目(黔教合KY字[2015]408)
贵州省教育厅自然科学研究青年项目(黔教合KY字[2013]210)
国家自然科学基金资助项目(60973156)
黔西南州科技计划项目(科学技术基金计划2015-1-51)
关键词
模糊集FScom
多属性决策
理想解
贴近度
Fuzzy Set FScom
Multiple Attribute Decision Making
Ideal Solution
Similarity Measure
