A Relationship of Conflicting Belief Masses to Open World Assumption

被引：6

作者：

Daniel, Milan

机构：

来源：

BELIEF FUNCTIONS: THEORY AND APPLICATIONS, (BELIEF 2016) | 2016年 / 9861卷

关键词：

Belief functions; Dempster-shafer theory; Uncertainty; Conflicting belief masses; Internal conflict; Conflict between belief functions; Open world assumption; Transferable Belief Model (TBM); COMBINATION;

D O I：

10.1007/978-3-319-45559-4_15

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

When combining belief functions by conjunctive rules of combination, conflicting belief masses often appear, which are assigned to empty set by the non-normalized conjunctive rule or normalized by Dempster's rule of combination in Dempster-Shafer theory. This theoretical study analyses processing of conflicting belief masses under open world assumption. It is observed that sum of conflicting masses covers not only a possibility of a non-expected hypothesis out of considered frame of discernment. It also covers, analogously to the case of close world assumption, internal conflicts of individual belief functions and conflict between/among two or several combined belief functions. Thus, for correct and complete interpretation of open world assumption it is recommended to include extra element(s) into used frame of discernment.

引用

页码：146 / 155

页数：10

共 20 条

[1]

Almond R.G., 1995, GRAPHICAL BELIEF MOD

[2] Data association in multi-target detection using the transferable belief model [J].

Ayoun, A ;

Smets, P .

INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2001, 16 (10) :1167-1182

[3] Geometric views on conflicting mass functions: From distances to angles [J].

Burger, Thomas .

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2016, 70 :36-50

[4] On the plausibility transformation method for translating belief function models to probability models [J].

Cobb, BR ;

Shenoy, PP .

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2006, 41 (03) :314-330

[5]

Daniel M, 2005, LECT NOTES COMPUT SC, V3571, P539

[6] Conflicts of belief functions: Continuity and frame resizement [J].

Daniel, Milan ;

Ma, Jianbing .

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2014, 8720 :106-119

[7]

Daniel Milan, 2010, Computational Intelligence for Knowledge-Based Systems Design. Proceedings 13th International Conference on Information Processing and Management of Uncertainty, IPMU 2010, P696, DOI 10.1007/978-3-642-14049-5_71

[8]

Daniel M., 2011, ISIPTA, P149

[9] Conflict between belief functions: A new measure based on their non-conflicting parts [J].

Daniel, Milan .

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2014, 8764 :321-330

[10]

Daniel M, 2013, LECT NOTES ARTIF INT, V7894, P235, DOI 10.1007/978-3-642-38658-9_22

← 1 2 →