<div class="csl-bib-body">
<div class="csl-entry">Fermüller, C. (2023, October 28). <i>Judgment Aggregation with Graded Deontic Logics</i> [Conference Presentation]. Reasoning with Imperfect Information in Social Settings 2023, Pisa, Italy.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/191076
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dc.description.abstract
Judgment aggregation poses the problem to find a consistent collective judgment on a set of logically dependent propositions, called agenda, based on a profile of individual judgments on the agenda items. We argue that two stages of generalization from the classical setup are useful for handling various application scenarios for assessing fragmented, vague and uncertain information in a systematic manner: Firstly, rather than considering only judgments about the truth or falsity of propositions, it is often useful to allow for degrees of assent or dissent, and hence to replace classical logic by many-valued logic for formalizing the collective as well as the individual judgments. In a second step, we focus on a special type of agenda items, where the individuals are solicited to specify their degree of assent to deontic claims, asserting that something should or should not be the case. There are many results in the literature regarding scenario 1, i.e. many-valued judgment aggregation. Most of those results are negative, demonstrating that there is no general aggregation rule, satisfying various rationality constraints, that guarantees consistent collective judgments when applied to arbitrary profiles of consistent individual judgments. We will show that it is much easier to arrive at consistent collective judgments if the agenda items are graded deontic statements. This calls for considering a graded deontic logic as underlying formalism for scenario 2. The literature on that type of logic is still very sparse. We will adapt a many-valued deontic logic introduced by Dellunde and Godo (2008) to our setting. Finally, we will provide an outlook on alternative graded deontic logics and their application to judgment aggregation.
en
dc.language.iso
en
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dc.subject
judgment aggregation
en
dc.subject
many-valued logic
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dc.title
Judgment Aggregation with Graded Deontic Logics
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dc.type
Presentation
en
dc.type
Vortrag
de
dc.type.category
Conference Presentation
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tuw.researchTopic.id
I1
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tuw.researchTopic.name
Logic and Computation
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tuw.researchTopic.value
100
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tuw.linking
https://indico.sns.it/event/58/
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tuw.publication.orgunit
E192-05 - Forschungsbereich Theory and Logic
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tuw.author.orcid
0000-0003-2932-5477
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tuw.event.name
Reasoning with Imperfect Information in Social Settings 2023
