Variable-domain fuzzy sets - Part I

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA2101QGQ" target="_blank" >RIV/61988987:17610/20:A2101QGQ - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.fss.2018.11.002" target="_blank" >https://doi.org/10.1016/j.fss.2018.11.002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2018.11.002" target="_blank" >10.1016/j.fss.2018.11.002</a>

Result language
angličtina
Original language name
Variable-domain fuzzy sets - Part I
Original language description
Despite the fact that fuzzy sets can generally have different domains, standard definitions of fuzzy set operations assume a common reference set for all their operands. The usual way to satisfy this precondition is to assign zero membership to elements outside the domain of each operand. In Part~I of this two-part paper we point out several issues with this method and argue that keeping track of the original domains is necessary to ensure the intended behavior of numerous fuzzy set operations. We discuss several ways of representing fuzzy sets with variable domains, preparing the grounds for the apparatus of variable-domain fuzzy set theory described in Part~II of the paper.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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