Monads and a Common Framework for Fuzzy Type Automata
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA2001KDW" target="_blank" >RIV/61988987:17610/19:A2001KDW - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1080/03081079.2019.1585431" target="_blank" >https://doi.org/10.1080/03081079.2019.1585431</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/03081079.2019.1585431" target="_blank" >10.1080/03081079.2019.1585431</a>
Alternative languages
Result language
angličtina
Original language name
Monads and a Common Framework for Fuzzy Type Automata
Original language description
A notion of a T-automaton in introduced for a monad (in clone form)T in a category K. A category of T-automata is introduced. Categoriesof classically defined lattice-valued fuzzy automata and non-deterministicautomata are isomorphic to categories of T-automata for appropriatemonads T in the category Set. New monads F of extensional fuzzy setsin the category of sets with similarity relations and the monad R of fuzzyobjects in the category of spaces with fuzzy partitions are introduced,as generalizations of a standard monad of powerset objects of fuzzy sets.New fuzzy automata in sets with similarity relation and fuzzy automatain spaces with fuzzy partitions are defined and relationships between thesenew fuzzy type automata, on one hand, and F- and R-automata, on theother, are investigated.
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
10100 - Mathematics
Result continuities
Project
<a href="/en/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centre for the development of Artificial Intelligence Methods for the Automotive Industry of the region</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
INT J GEN SYST
ISSN
0308-1079
e-ISSN
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Volume of the periodical
48
Issue of the periodical within the volume
4
Country of publishing house
DE - GERMANY
Number of pages
37
Pages from-to
406-442
UT code for WoS article
000466530900004
EID of the result in the Scopus database
2-s2.0-85062473429