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Impossibility in Belief Merging [article]

Amílcar Mata Díaz, Ramón Pino Pérez
2016 arXiv   pre-print
With the aim of studying social properties of belief merging and having a better understanding of impossibility, we extend in three ways the framework of logic-based merging introduced by Konieczny and  ...  First, at the level of representation of the information, we pass from belief bases to complex epistemic states.  ...  Some works [20, 5, 8] have been done in which certain aspects of social choice are explored in belief merging, mainly impossibility [2, 4] and strategy-proofness [10, 21] .  ... 
arXiv:1606.04589v1 fatcat:hkoqcv57u5b2pezwo5ydzngdj4

Impossibility in Belief Merging (Extended Abstract)

Amilcar Mata Diaz, Ramon Pino Perez
2018 Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence  
With the aim of studying social properties of belief merging and having a better understanding of impossibility, we extend in three ways the framework of logic-based merging introduced by Konieczny and  ...  First, at the level of representation of the information, we pass from belief bases to complex epistemic states.  ...  We continue the study of impossibility, in our present work, in the extended framework of belief merging. We have to note three important features of the framework considered here.  ... 
doi:10.24963/ijcai.2018/799 dblp:conf/ijcai/DiazP18 fatcat:2c4i6cvegvgwxdfkxcbbfdcnsu

Aggregating Judgements by Merging Evidence

J. Williamson
2008 Journal of Logic and Computation  
In this article I argue that judgements are best aggregated by merging the evidence on which they are based, rather than by directly merging the judgements themselves.  ...  First, merge the evidence bases of the various agents using some method of belief merging.  ...  In our example, such a merging operation would yield ¬r as the merged belief set. Presumably, then, judging ¬r ought to be reasonable given these merged beliefs.  ... 
doi:10.1093/logcom/exn011 fatcat:aybexbjerraqtpmrhq3zlsmfmy

Belief merging and the discursive dilemma: an argument-based account to paradoxes of judgment aggregation

Gabriella Pigozzi
2006 Synthese  
In this paper I introduce a new aggregation procedure inspired by an operator defined in artificial intelligence in order to merge belief bases.  ...  Literature in social choice and political theory has claimed that judgment aggregation raises serious concerns.  ...  The aggregation procedures used in belief merging and in group decision-making are similar.  ... 
doi:10.1007/s11229-006-9063-7 fatcat:lloitr42efhbngckk2aljqptr4

Merging with a set of probability measures: A characterization

Yuichi Noguchi
2015 Theoretical Economics  
In this setting, I provide a characterization of a set of probability measures with which a prior (belief ) "weakly merges."  ...  In this situation, a player would want to use a prior belief that weakly merges with as many strategies of her opponents as possible.  ...  Suppose thatμ almost weakly merges with μ.  ... 
doi:10.3982/te1360 fatcat:3vibzzuzlvd2zp5gaurukkzwri

Page 3848 of Mathematical Reviews Vol. , Issue 2000f [page]

2000 Mathematical Reviews  
The purpose of the operator D, is to merge the beliefs of different agents.  ...  In his well- known “impossibility theorem”, Peter Gardenfors observed that this is inconsistent (except in trivial limiting cases) with the AGM postulates for revision.  ... 


Fenrong Liu, Frank Veltman, Minghui Xiong
2008 Synthese  
New interfaces are arising, such as epistemic studies of rational behavior in games.  ...  And finally, interaction is also crucial to intelligent behavior in the field of natural language.  ...  Majority Merging by Adaptive Counting is a contribution to the field of belief merging techniques, relevant to everyone interested in judgement aggregation.  ... 
doi:10.1007/s11229-008-9405-8 fatcat:6nqwiu2u6vgy3nnf4uet5ckytu

Merging Belief Bases Represented by Logic Programs [chapter]

Julien Hué, Odile Papini, Eric Würbel
2009 Lecture Notes in Computer Science  
This method is based on the syntactic merging operators described in the framework of propositional logic.  ...  This paper presents a method which allows for merging beliefs expressed thanks to logic programming with stable model semantics.  ...  and Pino-Perez postulates for merging operation In [12] , Konieczny and Pino-Perez defined a set of postulates for belief bases merging.  ... 
doi:10.1007/978-3-642-02906-6_33 fatcat:ncz7mxjifvc3dl5h6dtosb3ese

The basic principles of uncertain information fusion. An organised review of merging rules in different representation frameworks

Didier Dubois, Weiru Liu, Jianbing Ma, Henri Prade
2016 Information Fusion  
There may be specific approaches to belief merging likely to circumvent impossibility results inherited from the voting area, that may be of interest only for belief merging.  ...  We instantiate our principles in each setting, and study the property of known rules for merging belief functions.  ... 
doi:10.1016/j.inffus.2016.02.006 fatcat:2skqrf45ezhoxnnxlwr5d3asnu

In What Sense Two Persons Perceive the Same Thing

Samuel Barnett
1916 Philosophical Review  
things would thus merge into one.  ...  Causation has no meaning in an unlimited universe of discourse, for cause and effect then merge and become one and indistinguishable in the First Cause.  ... 
doi:10.2307/2178480 fatcat:dolffjoqojg5hctscf3ydi2s6q

Page 470 of The Quarterly Review Vol. 193, Issue 386 [page]

1901 The Quarterly Review  
470 HUMANISM AND CHRISTIANITY yet suggesting possibilities of belief which render com. plete indifference or absolute negation impossible and undesirable.  ...  in three different churches at St Ouen, he cannot help reflecting on the evanescence of all creeds in all ages, and adds: ‘Our particular small faith still lives, destined ere long to be merged in other  ... 

Page 475 of The American Journal of the Medical Sciences Vol. 123, Issue 3 [page]

1902 The American Journal of the Medical Sciences  
This belief was in a great measure fortified by careful percussion and palpation in this region. Diagnosis of sarcoma of the kidney was therefore made.  ...  In its depth it was found to have grown from the tail of the pan- creas, being merged into the kidney and spleen, both of which seemed to be embedded in its substance.  ... 

Controlled Query Evaluation in Description Logics Through Instance Indistinguishability

Gianluca Cima, Domenico Lembo, Riccardo Rosati, Domenico Fabio Savo
2020 Proceedings of the Twenty-Ninth International Joint Conference on Artificial Intelligence  
We study privacy-preserving query answering in Description Logics (DLs).  ...  in the profile (the epistemic view of belief merging).  ...  In the next section, some formal preliminaries on belief merging are provided. In Section 3, noise models and maximum likelihood estimators are defined in the belief merging setting.  ... 
doi:10.24963/ijcai.2020/244 dblp:conf/ijcai/EveraereKM20 fatcat:2y3wfdy7wjcwfaoafjmq4bdlby

Can the Minimum Rule of Possibility Theory Be Extended to Belief Functions? [chapter]

Sébastien Destercke, Didier Dubois
2009 Lecture Notes in Computer Science  
When merging belief functions, Dempster rule of combination is justified only when sources can be considered as independent.  ...  In this paper, we try to extend the minimum rule of possibility theory to belief functions.  ...  For instance, it is impossible to satisfy the SCFP for the two marginal belief structures of Example 5, while it is possible to satisfy the WCFP by restricting the subset of merged belief structures to  ... 
doi:10.1007/978-3-642-02906-6_27 fatcat:m244v2u6pbdcfjp3zwjmevf7ae

Page 318 of Ethics Vol. 2, Issue 3 [page]

1892 Ethics  
There is, on the contrary, a simple, poetic belief in a future life which appeals thoroughly to the natural instincts of man.  ...  As might be expected, the two ideas, in due time, merge into one, the conception of a great eternal existence, in which all the differences of visible phenomena are resolved : the universe, including all  ... 
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