A Note on Extensions of Non-additive Measures

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F21%3A00355082" target="_blank" >RIV/68407700:21230/21:00355082 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s10773-019-04049-z" target="_blank" >https://doi.org/10.1007/s10773-019-04049-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-019-04049-z" target="_blank" >10.1007/s10773-019-04049-z</a>

Result language
angličtina
Original language name
A Note on Extensions of Non-additive Measures
Original language description
The motivation for our consideration comes from the fuzzy set theory in a potential relation to quantum theories and mathematical economics: Given a certain non-additive assignment on a Boolean algebra (a kind of "belief measure"), can this assignment be extended over a larger Boolean algebra? We answer this question in the affirmative. By examining the universality of the method used, we conclude that even when we let the assignment subject to an arbitrary collection of unsharp inequalities, we are always able to extend the measure so defined over a larger Boolean algebra.
Czech name
—
Czech description
—

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
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)