The analysis of the generalized square of opposition-extension

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F13%3AA14017EM" target="_blank" >RIV/61988987:17610/13:A14017EM - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
The analysis of the generalized square of opposition-extension
Original language description
In this paper, we continue development of a formal theory of intermediate quantifiers (linguistic expressions such as ``most'', ``many'', ``few'', ``almost all'', etc.). In 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 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 --- L ukasiewicz fuzzy type theory.
Czech name
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Czech description
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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)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT)
ISBN
9789078677789
ISSN
1951-6851
e-ISSN
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Number of pages
7
Pages from-to
252-259
Publisher name
Atlantis Press
Place of publication
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Event location
Milano, Italy
Event date
Sep 11, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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