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Axiomatizing logics of fuzzy preferences using graded modalities

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F20%3A00522192" target="_blank" >RIV/67985807:_____/20:00522192 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.fss.2020.01.002" target="_blank" >http://dx.doi.org/10.1016/j.fss.2020.01.002</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.fss.2020.01.002" target="_blank" >10.1016/j.fss.2020.01.002</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Axiomatizing logics of fuzzy preferences using graded modalities

  • Original language description

    The aim of this paper is to propose a many-valued modal framework to formalize reasoning with both graded preferences and propositions, in the style of van Benthem et al.'s classical modal logics for preferences. To do so, we start from Bou et al.'s minimal modal logic over a finite and linearly ordered residuated lattice. We then define appropriate extensions on a multi-modal language with graded modalities, both for weak and strict preferences, and with truth-constants. Actually, the presence of truth-constants in the language allows us to show that the modal operators □ and ◇ of the minimal modal logic are inter-definable. Finally, we propose an axiomatic system for this logic in an extended language (where the preference modal operators are definable), and prove completeness with respect to the intended graded preference semantics.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • 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/EF17_050%2F0008361" target="_blank" >EF17_050/0008361: Enhancing human resources for research in theoretical computer science</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Fuzzy Sets and Systems

  • ISSN

    0165-0114

  • e-ISSN

  • Volume of the periodical

    401

  • Issue of the periodical within the volume

    15 December 2020

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    26

  • Pages from-to

    163-188

  • UT code for WoS article

    000580008600010

  • EID of the result in the Scopus database

    2-s2.0-85078484080