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On Finite-Valued Bimodal Logics with an Application to Reasoning About Preferences

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F18%3A00478659" target="_blank" >RIV/67985807:_____/18:00478659 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-319-66827-7_47" target="_blank" >http://dx.doi.org/10.1007/978-3-319-66827-7_47</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-319-66827-7_47" target="_blank" >10.1007/978-3-319-66827-7_47</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Finite-Valued Bimodal Logics with an Application to Reasoning About Preferences

  • Original language description

    In a previous paper by Bou et al., the minimal modal logic over a finite residuated lattice with a necessity operator was characterized under different semantics. In the general context of a residuated lattice, the residual negation is not necessarily involutive, and hence a corresponding possibility operator cannot be introduced by duality. In the first part of this paper we address the problem of extending such a minimal modal logic with a suitable possibility operator. In the second part of the paper, we introduce suitable axiomatic extensions of the resulting bimodal logic and define a logic to reason about fuzzy preferences, generalising to the many-valued case a basic preference modal logic considered by van Benthem et al.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    <a href="/en/project/GF15-34650L" target="_blank" >GF15-34650L: Modeling vague quantifiers in mathematical fuzzy logic</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Advances in Fuzzy Logic and Technology 2017

  • ISBN

    978-3-319-66826-0

  • ISSN

    2194-5357

  • e-ISSN

  • Number of pages

    13

  • Pages from-to

    505-517

  • Publisher name

    Springer

  • Place of publication

    Cham

  • Event location

    Warsaw

  • Event date

    Sep 11, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000431389900047