摘要
针对决策属性为区间犹豫模糊数(IVHFN)且属性间相互关联的多属性决策(MADM)问题,提出一种基于区间犹豫模糊加权Heronian平均(IVHFWHM)算子的新型决策方法.首先,基于IVHFN运算法则和Heronian平均(HM),提出区间犹豫模糊Heronian平均(IVHFHM)算子和区间犹豫模糊加权Heronian平均(IVHFWHM)算子;其次,详细研究了IVHFHM算子的置换不变性、幂等性、单调性、有界性和参数对称性等性质;最后,建立基于IVHFWHM算子的多属性决策模型,并通过项目投资评估问题验证提出决策模型的可行性与有效性.
For the problems of multiple attribute decision-making in which the attribute values are in the form of interval-valued hesitant fuzzy numbers（ IVHFN） and attributes are associated with each other,a novel decision-making method based on interval-valued hesitant fuzzy weighted Heronian mean（ IVHFWHM） operator is developed. First,in accordance with the IVHFN＇s operational laws and Heronian mean（ HM）,the interval-valued hesitant fuzzy Heronian mean（ IVHFHM） operator and interval-valued hesitant fuzzy weighted Heronian mean（ IVHFWHM） operator are proposed. Then, the IVHFHM＇s properties of permutation invariance, idempotent, monotonicity,boundedness and parameter symmetry are studied in detail. Finally,a MADM model based on IVHFWHM operator is constructed,and a numerical example of project investment evaluation problem is provided to illustrate the effectiveness and feasibility of the proposed model.
作者
戴意瑜
陈江
DAI Yi-yu, CHEN Jiang(Department of IT Development ＆ Managent, Huaqiao University, Xiamen 361021, Chin)
出处
《福建师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2018年第3期21-28,共8页
Journal of Fujian Normal University：Natural Science Edition
基金
福建省中青年教师科研项目高校教育信息化专项(600005-Z1525113)
关键词
区间犹豫模糊数
区间犹豫模糊加权Heronian平均算子
多属性决策
interval-valued hesitant fuzzy numbers
interval-valued hesitant fuzzy weighted Heronian mean operator
multiple attribute decision-making
