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What is primary: negation or implication?

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F09%3A00164997" target="_blank" >RIV/68407700:21230/09:00164997 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    What is primary: negation or implication?

  • Original language description

    We compare R-fuzzy logics (based on an implication interpreted by the residuum of a triangular norm) and S-fuzzy logics (based on an involutive negation and using a different interpretation of implication). We show that the former approach (promoted by Petr H{' a}jek) leads to much richer logical results. Then we discuss extensions of R-fuzzy logics by an involutive negation as a new connective. These combine the features of both preceding approaches. We summarize recent results of this branch of research (which was also initiated by Petr Hájek).

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2009

  • Confidentiality

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

Data specific for result type

  • Book/collection name

    Witnessed Years: Essays in Honour of Petr Hajek

  • ISBN

    978-1-904987-63-5

  • Number of pages of the result

    15

  • Pages from-to

  • Number of pages of the book

    416

  • Publisher name

    King's College

  • Place of publication

    London

  • UT code for WoS chapter