Graded Structures of Opposition in Fuzzy Natural Logic
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA21026AI" target="_blank" >RIV/61988987:17610/20:A21026AI - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007/s11787-020-00265-y" target="_blank" >http://link.springer.com/article/10.1007/s11787-020-00265-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11787-020-00265-y" target="_blank" >10.1007/s11787-020-00265-y</a>
Alternative languages
Result language
angličtina
Original language name
Graded Structures of Opposition in Fuzzy Natural Logic
Original language description
The main objective of this paper is devoted to two main parts. First, the paper introduces logical interpretations of classical structures of opposition that are constructed as extensions of the square of opposition. Blanch'{e}'s hexagon as well as two cubes of opposition proposed by Morreti and pairs Keynes-Johnson will be introduced. The second part of this paper is dedicated to a graded extension of the Aristotle's square and Peterson's square of opposition with intermediate quantifiers. These quantifiers are linguistic expressions such as ``most'', ``many'', ``a few'', and ``almost all'', and they correspond to what are often called ``fuzzy quantifiers'' in the literature. The graded Peterson's cube of opposition, which describes properties between two graded squares, will be discussed at the end of this paper.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
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
Logica Universalis
ISSN
1661-8297
e-ISSN
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Volume of the periodical
265
Issue of the periodical within the volume
14
Country of publishing house
CH - SWITZERLAND
Number of pages
4
Pages from-to
495-522
UT code for WoS article
000584901900001
EID of the result in the Scopus database
2-s2.0-85094180517