Reflective categories of cut systems and fuzzy sets in Q-sets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F13%3AA14016MI" target="_blank" >RIV/61988987:17610/13:A14016MI - 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
Reflective categories of cut systems and fuzzy sets in Q-sets
Original language description
There exists a completion procedure according to any cut can be extended to an f-cut. We prove that the completion procedure is, in some sense, the best possible. This will be expressed by the theorem which states that the category of f-cuts is a full reflective subcategory in the category of cuts. Some relationships between sets of fuzzy sets and sets of f-cuts in a set with similarity relation in corresponding categories, which are endowed with binary operations extended either from binary operationsin the lattice or from binary operations defined in a set A by the generalized Zadeh extension principle will be investigated. We prove that the final binary structures are (under some conditions) isomorphic
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)

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 2013 Joint IFSA World Congress NAFIPS Annual Meeting (IFSA/NAFIPS). IEEE
ISBN
978-1-4799-0347-4
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
625-630
Publisher name
IEEE
Place of publication
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Event location
Edmonton, Canada
Event date
Jun 24, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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