基于D-S证据理论的直觉模糊群决策信息集结方法

摘要/Abstract

摘要： 在处理直觉模糊多属性群决策问题时,可根据D-S证据理论完成信息的集结。利用直觉模糊熵和模糊偏好关系确定权重,通过加权-证据融合的方法得到专家对方案集的融合证据。在专家信息集结方面,结合欧氏证据距离求解证据间的冲突度,得到专家权重,并将群体专家对方案集的证据信息进行修正和融合。最后结合算例证明了所提方法具有很高的实用价值。

关键词: D-S证据理论, 冲突度, 多属性群决策, 模糊偏好关系, 欧氏证据距离

Abstract: When dealing with the intuitionistic fuzzy multi-attribute group decision-making problem,the information aggregation can be completed according to the D-S evidence theory.The weights are determined by using the intuitionistic fuzzy entropy and fuzzy preference relationship.Weighted-evidence fusion method is used to obtain the expert’s fusion evidence for the solution set.In the expert information aggregation,the Euclidean evidence distance is used to solve the degree of conflict between the evidences,and the expert weights are obtained.Evidence information of group experts on program sets are corrected and integrated.Finally,combined with examples,it is proved that the proposed method has high practical value.

Key words: Degree of conflict, D-S evidence theory, Euclidean evidence distance, Fuzzy preference relation, Group decision-making of multi-attribute

中图分类号:

臧翰林, 李艳玲. 基于D-S证据理论的直觉模糊群决策信息集结方法[J]. 计算机科学, 2019, 46(6A): 102-105. https://doi.org/

ZANG Han-lin, LI Yan-ling. Intuitionistic Fuzzy Group Decision Making Information Aggregation Method Based on D-S Evidence Theory[J]. Computer Science, 2019, 46(6A): 102-105. https://doi.org/

参考文献

[1]DEMPSTER A P.Upper and lower probabililities induced by a multivalued mapping[J].Annuals of Mathematical Statistics,1967,38(4):325-339.
[2]杨风暴,王肖霞.D-S证据理论的冲突证据合成方法[M].北京:国防工业出版社,2010:139-221.
[3]江红莉,何建敏,庄亚明,等.基于直觉模糊集和证据理论的群决策方法[J].控制与决策,2012,27(5):752-756.
[4]郭军,宋建社,杨檬,等.基于证据理论的多任务抢修重要度决策[J].系统工程与电子技术,2011,33(3):581-584.
[5]陈云翔,蔡忠义,张诤敏,等.基于证据理论和直觉模糊集的群决策信息集结方法[J].系统工程与电子技术,2015,37(3):594-598.
[6]史超,程咏梅,潘泉.基于直觉模糊和证据理论的混合型偏好信息集结方法[J].控制与决策,2012,27(8):1163-1168.
[7]HAN D Q,DEZERT J,YANG Y.New distance measures of evidencebased on belief intervals[C]∥International Conference on Belief Functions.Springer,2014:432-441.
[8]曲婉嘉,王鸿超,徐忠林,等.基于D-S证据融合的雷达毁伤评估研究[J].战术导弹技术,2017,1(17):104-108.
[9]李登峰.直觉模糊集决策与对策分析方法[M].北京:国防工业出版社,2012:21-34.
[10]SZMIDT E,KACPRZYK J.Entropy for intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,2001,118(3):467-477.
[11]WU J Z,ZHANG Q.Multicriteria decision making method based on intuitionistic fuzzy weighted entrpy[J].Expert Systems with Applications,2011,38(3):916-922.
[12]TANINO T.Fuzzy preference orderings in group decision ma-king[J].Fuzzy Sets and Systems,1984,12(84):117-131.
[13]LEE L W.Group decision making with incomplete fuzzy preference relationsbased on the additive consistency and the order consistency[J].Expert Systems with Applications,2012,39(14):11666-11676.
[14]IRPINO A,VERDE R.Dynamic clustering of interval data usinga wasserstein-based distance[J].Pattern Recognition Letters,2008,29(11):1648-1658.
[15]刘晓东.雷达抗干扰效能评估指标体系及方法研究[D].成都:电子科技大学,2008.

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