<div class="csl-bib-body">
<div class="csl-entry">Fermüller, C. G. (2024, July 23). <i>Judgment Aggregation with Fuzzy Deontic Logics</i> [Conference Presentation]. IPMU2024 - 20th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, Lissabon, Portugal.</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/210537
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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 uncertain and vague 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 appropriate fuzzy logics for formalizing the collective as well as the individual judgments (Scenario 1). 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 (Scenario 2). There are many results in the literature regarding Scenario 1, i.e. many-valued (fuzzy) 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 there are
in fact more options for arriving at consistent collective judgments if the agenda items are graded (fuzzy) 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 fuzzy 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.
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dc.language.iso
en
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dc.subject
judgment aggregation
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dc.subject
fuzzy logic
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dc.subject
deontic logic
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dc.title
Judgment Aggregation with Fuzzy 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.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
IPMU2024 - 20th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems
