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Merging Uncertain Knowledge Bases in a Possibilistic Logic Framework [article]

Salem Benferhat, Claudio Sossai
2013 arXiv   pre-print
This paper addresses the problem of merging uncertain information in the framework of possibilistic logic.  ...  It presents several syntactic combination rules to merge possibilistic knowledge bases, provided by different sources, into a new possibilistic knowledge base.  ...  Acknowledgments This work was partially supported by a CNR-CNRS joint  ... 
arXiv:1301.7359v1 fatcat:q4drgmj2cjffnbetw5m5pxrgpm

Merging Interval-Based Possibilistic Belief Bases [chapter]

Salem Benferhat, Julien Hué, Sylvain Lagrue, Julien Rossit
2012 Lecture Notes in Computer Science  
In this paper, we propose to extend a well known approach of possibilistic merging to the notion of interval-based possibilistic knowledge bases.  ...  In particular, we show that convenient and intuitive properties of the interval-based possibilistic framework hold when considering the belief merging issue.  ...  In this paper, we extend this approach to the framework of interval-based possibilistic logic.  ... 
doi:10.1007/978-3-642-33362-0_34 fatcat:rusdoqdp7fghvcbiqyutkcdepi

Merging Knowledge Bases in Possibilistic Logic by Lexicographic Aggregation [article]

Guilin Qi, Jianfeng Du, Weiru Liu, David A. Bell
2012 arXiv   pre-print
They often result in a possibilistic knowledge base which is a set of weighted formulas. Although possibilistic logic is inconsistency tolerant, it suers from the well-known "drowning effect".  ...  In this paper, we define a merging operator that maps a set of pos- sibilistic knowledge bases and a formula rep- resenting the integrity constraints to a clas- sical knowledge base by using lexicographic  ...  In a logical framework, each information source is often considered as a knowledge base, which is a set of logical formulas.  ... 
arXiv:1203.3508v1 fatcat:qyifkdzkafd7vb2ada3na4ifxa

An Argumentation Framework for Merging Conflicting Knowledge Bases: The Prioritized Case [chapter]

Leila Amgoud, Souhila Kaci
2005 Lecture Notes in Computer Science  
Recently, a "powerful" approach [Benferhat et al., 2002; 1999; has been proposed to merge prioritized propositional bases encoded in possibilistic logic.  ...  This approach consists of combining prioritized knowledge bases into a new prioritized knowledge base, and then to infer from this.  ...  Merging prioritized information in possibilistic logic framework Merging prioritized information in possibilistic logic is a two step process: 1.  ... 
doi:10.1007/11518655_45 fatcat:xcjosdp56vggpn7hbjb63bpq7m

A Comparison of Merging Operators in Possibilistic Logic [chapter]

Guilin Qi, Weiru Liu, David Bell
2010 Lecture Notes in Computer Science  
In this paper, we compare merging operators in possibilistic logic. We first propose an approach to evaluating the discriminating power of a merging operator.  ...  Finally, we consider the compatibility of possibilistic merging operators with propositional merging operators.  ...  Conclusions In this paper, we first gave a belief survey of two kinds of merging operators in possibilistic logic: semantic merging operators and adaptive merging operators.  ... 
doi:10.1007/978-3-642-15280-1_7 fatcat:xvhuxsilw5fjrfxw4474r5pdny

Multiple Semi-revision in Possibilistic Logic [chapter]

Guilin Qi, Weiru Liu, David A. Bell
2005 Lecture Notes in Computer Science  
In this paper, we will extend multiple semi-revision in the framework of possibilistic logic.  ...  The advantage of possibilistic logic is that it provides an ordering relation on formulae in knowledge bases, which makes it easy to define a selection function practically.  ...  Possibilistic logic is a good framework to represent priority [4] . In this section, we extend multiple semi-revision in the framework of possibilistic logic.  ... 
doi:10.1007/11518655_40 fatcat:suycyzpgcnanrbhzkwqszildyy

Reasoning with multiple-source information in a possibilistic logic framework

Salem Benferhat, Claudio Sossai
2006 Information Fusion  
This paper addresses the problem of merging uncertain information in the framework of possibilistic logic.  ...  It presents several syntactic combination rules to merge possibilistic knowledge bases, provided by different sources, into a new possibilistic knowledge base.  ...  Conclusions This paper has proposed several syntactical combination modes which can be applied to uncertain knowledge bases. Uncertainty is represented in the framework of possibilistic logic.  ... 
doi:10.1016/j.inffus.2005.01.006 fatcat:eyljz5tyk5es5ozfrnxojdhabu

A possibilistic graphical model for handling decision problems under uncertainty

Salem Benferhat, Faiza Khellaf, Ismahane Zeddigha
2013 Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology  
The second part of the paper proposes a new algorithm for computing optimistic optimal decisions based on merging these two possibilistic networks.  ...  This paper proposes a new graphical model for decision making under uncertainty based on possibilistic networks.  ...  In these situations, possibility theory [5] is an appropriate framework for representing uncertain knowledge and preferences.  ... 
doi:10.2991/eusflat.2013.110 dblp:conf/eusflat/BenferhatKZ13 fatcat:rpulrdkrlngj3adgncq2iknmgq

An argumentation framework for merging conflicting knowledge bases

Leila Amgoud, Souhila Kaci
2007 International Journal of Approximate Reasoning  
We suppose that each agent is represented by a knowledge base and that the different agents are conflicting. We show that the argumentation framework retrieves the results of the merging approaches.  ...  In this paper, we present an argumentation framework for solving conflicts which could be applied to conflicts arising between agents in a multi-agent system.  ...  piece of information in a knowledge base, as it is the case with possibilistic logic bases, or given in terms of a total or partial pre-order on a knowledge base.  ... 
doi:10.1016/j.ijar.2006.06.014 fatcat:wxpkntnjpvawvcfur4i2baa24a

Poss-OWL 2: Possibilistic Extension of OWL 2 for an Uncertain Geographic Ontology

Bal-Bourai Safia, Mokhtari Aicha
2014 Procedia Computer Science  
Based on our previous work, we propose a solution for handling uncertainty and for dealing with inconsistency in geographical applications.  ...  Nevertheless, classical ontology languages are not able to represent incomplete and uncertain knowledge, which are very important characteristics of several situations in geographic domain.  ...  Dupin 14 develops logical framework in a possibilistic approach for handling uncertain spatial information called attributive formula, and merging it when it comes from multiple Source.  ... 
doi:10.1016/j.procs.2014.08.121 fatcat:ymn53amkynh2dkucx4xautwqui

A Principled Analysis of Merging Operations in Possibilistic Logic [article]

Salem Benferhat, Didier Dubois, Souhila Kaci, Henri Prade
2013 arXiv   pre-print
Possibilistic logic offers a qualitative framework for representing pieces of information associated with levels of uncertainty of priority.  ...  Then we propose to analyse these classes in terms of postulates. This is done by first extending the postulate for merging classical bases to the case where priorites are avaialbe.  ...  Introduction Possibilistic logic (e.g. [8] ) offers a framework for rea soning with classical logic formulas associated with weights belonging to a totally ordered scale.  ... 
arXiv:1301.3835v1 fatcat:k5jeytwqlrgovjofpz2ncbtvnu

Ordered Belief Fusion in Possibilistic Logic [chapter]

Churn-Jung Liau
2005 Lecture Notes in Computer Science  
In this paper, we propose a logical framework for reasoning about uncertain belief fusion. The framework is a combination of multi-agent epistemic logic and possibilistic logic.  ...  We consider two strategies to merge uncertain beliefs.  ...  Level cutting fusion in possibilistic logic In this subsection, we present a logic for reasoning about possibilistic belief fusion based on a level cutting strategy.  ... 
doi:10.1007/11548669_65 fatcat:omlz65pin5ej3fnpigw2oy7wpq

Reasoning with partially ordered information in a possibilistic logic framework

Salem Benferhat, Sylvain Lagrue, Odile Papini
2004 Fuzzy sets and systems (Print)  
Possibilistic logic offers a natural qualitative framework for handling uncertain information. This paper discusses its extension to dealing with partially ordered knowledge.  ...  We show that there are two different ways to define possibilistic logic machinery which both extend the standard one.  ...  From partial pre-orders on formulas to partial pre-orders on interpretations In possibilistic logic, uncertain information are represented by means of a possibilistic knowledge base, which is a set of  ... 
doi:10.1016/j.fss.2003.10.012 fatcat:haeg4owuuzfznk2fzgdtotkdta

Combining Multiple Knowledge Bases by Negotiation: A Possibilistic Approach [chapter]

Guilin Qi, Weiru Liu, David A. Bell
2005 Lecture Notes in Computer Science  
In this paper, we define a prioritized belief negotiation model in the framework of possibilistic logic.  ...  The problem of merging uncertain information from different sources is then solved by two steps. First, beliefs in the original knowledge bases will be weakened to resolve inconsistencies among them.  ...  in the framework of possibilistic logic.  ... 
doi:10.1007/11518655_43 fatcat:tirc37s46zbwbfhp62k46owajq

PossDL — A Possibilistic DL Reasoner for Uncertainty Reasoning and Inconsistency Handling [chapter]

Guilin Qi, Qiu Ji, Jeff Z. Pan, Jianfeng Du
2010 Lecture Notes in Computer Science  
Based on our previous work, we develop a possibilistic description logic reasoner.  ...  Possibilistic description logics provide a flexible framework for representing and reasoning with ontologies where uncertain and/or inconsistent information exists.  ...  It is well-known that possibilistic logic is a powerful logical framework for dealing with uncertainty and handling inconsistency.  ... 
doi:10.1007/978-3-642-13489-0_35 fatcat:pfavfvxuwvcc7o3ixuedlmyk7m
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