引用本文:贺颖,赵罡,修睿.一种区间数-二元联系数转换的模糊决策改进算法[J].控制与决策,2020,35(10):2442-2448
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一种区间数-二元联系数转换的模糊决策改进算法
贺颖1, 赵罡1, 修睿1,2
(1. 北京航空航天大学机械工程及自动化学院,北京100191;2. 北京航天控制仪器研究所,北京100039)
摘要:
针对准则值和准则权重以二元或三元区间数形式给出的模糊决策问题,提出一种区间数-二元联系数转换改进算法.利用区间数的偏好值和上下限取值范围,将区间数转换为二元联系数.将区间数的偏好值作为联系数的同一度,并将区间数上下限到偏好值的距离作为联系数的差异度,使得转换过程中区间模糊信息中的确定性增大,不确定性减小.在此基础上,使用同一度和差异度重新定义联系数的正负理想解,并确定联系数间的距离公式,进而提出一种改进的基于联系数的TOPSIS模糊决策算法.最后,结合实例表明所提出算法的有效性和合理性.
关键词:  模糊决策  区间数  二元联系数  偏好值  距离  同一度  差异度
DOI:10.13195/j.kzyjc.2019.0137
分类号:TP319.56
基金项目:国家自然科学基金项目(71430026,61273232);湖南省自然科学基金项目(2015JJ2047).
An improved fuzzy decision making algorithm for interval number-binary connection number conversion
HE Ying1,ZHAO Gang1, XIU Rui1,2
(1. School of Mechanical Engineering and Automation,Beihang University,Beijing 100191,China;2. Beijing Institute of Aerospace Control Instrument,Beijing 100039,China)
Abstract:
To solve the fuzzy decision-making problem in which the criterion value and the criterion weight are given in the form of binary or ternary inter-zone numbers, an improved algorithm of interval number-binary connection number conversion is proposed. By using the preference value of interval number and the value range of upper and lower limits, the interval number is converted into a binary connection number. The preference value of the interval number is taken as the same degree of the connection number, and the distance from the upper and lower limit of the interval number to the preference value is taken as the difference degree of the connection number. The uncertainty of interval fuzzy information increases and the uncertainty decreases during the conversion process. On this basis, the positive and negative ideal solutions of the connection numbers are redefined by using the same degree and difference degree, and the distance formula between the connection numbers is determined. Then, an improved TOPSIS fuzzy decision algorithm based on the connection numbers is proposed. Finally, the effectiveness and rationality of the algorithm are verified by an example.
Key words:  fuzzy decision  interval number  binary connection number  preference  distance  same degree  difference degree

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