Axiomatic of lattice-valued F-transform

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F18%3AA1901KDY" target="_blank" >RIV/61988987:17610/18:A1901KDY - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.fss.2017.08.008" target="_blank" >http://dx.doi.org/10.1016/j.fss.2017.08.008</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2017.08.008" target="_blank" >10.1016/j.fss.2017.08.008</a>

Result language
angličtina
Original language name
Axiomatic of lattice-valued F-transform
Original language description
Axioms for upper and lower fuzzy transformation systems are introduced and it is proved, that a transformation function satisfies axioms for upper (or lower, respectively) transformation systems if and only if it is an upper (or lower, respectively) F-transform. Categories of upper (lower,respectively) transformation systems are introduced and it is proved that both categories are isomorphic to the category of spaces with fuzzy partitions. We prove that lower and upper F-transforms preserve extensional fuzzy sets associated with spaces with fuzzy partitions.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

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)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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