What is primary: negation or implication?

Result code in IS VaVaI

RIV/68407700:21230/09:00164997 - isvavai.cz

Result on the web

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DOI - Digital Object Identifier

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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

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Czech description

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Type

C - Chapter in a specialist book

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

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

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

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Number of pages of the book

416

Publisher name

King's College

Place of publication

London

UT code for WoS chapter

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