Combining clusterings in the belief function framework*

被引:1
作者
Li, Feng [1 ]
Li, Shoumei [1 ]
Denaeux, Thierry [2 ,3 ]
机构
[1] Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China
[2] Univ Technol Compiegne, CNRS UMR 7253, Heudiasyc, France
[3] Inst Univ France, Paris, France
基金
中国国家自然科学基金;
关键词
Evidence theory; Belief functions; Clustering ensemble; Intuitionistic fuzzy relation; SIMILARITY MATRIX; FUZZY; COMBINATION; ALGORITHM; ROUGH;
D O I
10.1016/j.array.2020.100018
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we propose a clustering ensemble method based on Dempster-Shafer Theory. In the first step, base partitions are generated by evidential clustering algorithms such as the evidential c-means or EVCLUS. Base credal partitions are then converted to their relational representations, which are combined by averaging. The combined relational representation is then made transitive using the theory of intuitionistic fuzzy relations. Finally, the consensus solution is obtained by minimizing an error function. Experiments with simulated and real datasets show the good performances of this method.
引用
收藏
页数:12
相关论文
共 43 条
[1]   Hierarchical cluster ensemble selection [J].
Akbari, Ebrahim ;
Dahlan, Halina Mohamed ;
Ibrahim, Roliana ;
Alizadeh, Hosein .
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2015, 39 :146-156
[2]  
[Anonymous], 2009, World Acad Sci Eng Technol
[3]   CEVCLUS: evidential clustering with instance-level constraints for relational data [J].
Antoine, V. ;
Quost, B. ;
Masson, M. -H. ;
Denoeux, T. .
SOFT COMPUTING, 2014, 18 (07) :1321-1335
[4]   CECM: Constrained evidential C-means algorithm [J].
Antoine, V. ;
Quost, B. ;
Masson, M. -H. ;
Denoeux, T. .
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2012, 56 (04) :894-914
[5]  
Boixader D, 2000, HDB FUZZ SET SER, V7, P261
[6]   A proof for the positive definiteness of the Jaccard index matrix [J].
Bouchard, Mathieu ;
Jousselme, Anne-Laure ;
Dore, Pierre-Emmanuel .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2013, 54 (05) :615-626
[7]   EK-NNclus: A clustering procedure based on the evidential K-nearest neighbor rule [J].
Denceux, Thierry ;
Kanjanatarakul, Orakanya ;
Sriboonchitta, Songsak .
KNOWLEDGE-BASED SYSTEMS, 2015, 88 :57-69
[8]   EVCLUS: Evidential clustering of proximity data [J].
Denoeux, T ;
Masson, MH .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2004, 34 (01) :95-109
[9]  
Denoeux T, 2020, A guided tour of artificial intelligence research
[10]   Decision-making with belief functions: A review [J].
Denoeux, Thierry .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2019, 109 :87-110