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Analysis of generalized square of opposition with intermediate quantifiers

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F14%3AA140133H" target="_blank" >RIV/61988987:17610/14:A140133H - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Analysis of generalized square of opposition with intermediate quantifiers

  • Original language description

    In this paper, we continue development of the formal theory of intermediate quantifiers (linguistic expressions such as ``most, many, few, almost all'', etc.). In the previous work, we demonstrated that 105 generalized syllogisms are valid in our theory.We turn our attention to another problem which is analysis of the generalized Aristotelian square of opposition which, besides the classical quantifiers, is extended also by several selected intermediate quantifiers. We show again that the expected relations can be well modeled in our theory. The formal theory of intermediate quantifiers is developed within a special higher-order fuzzy logic --- Lukasiewicz fuzzy type theory.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    FUZZY SET SYST

  • ISSN

    0165-0114

  • e-ISSN

  • Volume of the periodical

  • Issue of the periodical within the volume

    242

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    25

  • Pages from-to

    89-113

  • UT code for WoS article

  • EID of the result in the Scopus database