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The structure of generalized intermediate syllogisms

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F14%3AA15015Q1" target="_blank" >RIV/61988987:17610/14:A15015Q1 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    čeština

  • Original language name

    The structure of generalized intermediate syllogisms

  • Original language description

    In this paper, we continue development of the formal theory of intermediate quantifiers which are expressions of the natural language (''most``,''many``,''few``, etc.). In the previous paper, we demonstrated that 105 generalized syllogisms are valid in our theory. We continue here analysis of new intermediate genera-lized quantifier ''more than half`` and prove 19 new intermediate generalized syllogisms with this quantifier. We show that for the proof of validity of all the generalized syllogisms, we need to prove validity of only few of them so that validity of the other ones immediately follows. In the end of this paper, we introduce generalization of all the figures .

  • Czech name

    The structure of generalized intermediate syllogisms

  • Czech description

    In this paper, we continue development of the formal theory of intermediate quantifiers which are expressions of the natural language (''most``,''many``,''few``, etc.). In the previous paper, we demonstrated that 105 generalized syllogisms are valid in our theory. We continue here analysis of new intermediate genera-lized quantifier ''more than half`` and prove 19 new intermediate generalized syllogisms with this quantifier. We show that for the proof of validity of all the generalized syllogisms, we need to prove validity of only few of them so that validity of the other ones immediately follows. In the end of this paper, we introduce generalization of all the figures .

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

    <a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>

  • Continuities

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

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 Sets and Systems

  • ISSN

    0165-0114

  • e-ISSN

  • Volume of the periodical

    247

  • Issue of the periodical within the volume

    247

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    20

  • Pages from-to

    18-37

  • UT code for WoS article

  • EID of the result in the Scopus database