A New Approach to Interval-Valued Choquet Integrals and the Problem of Ordering in Interval-Valued Fuzzy Set Applications
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F13%3A00399771" target="_blank" >RIV/67985556:_____/13:00399771 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/TFUZZ.2013.2265090" target="_blank" >http://dx.doi.org/10.1109/TFUZZ.2013.2265090</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/TFUZZ.2013.2265090" target="_blank" >10.1109/TFUZZ.2013.2265090</a>
Alternative languages
Result language
angličtina
Original language name
A New Approach to Interval-Valued Choquet Integrals and the Problem of Ordering in Interval-Valued Fuzzy Set Applications
Original language description
We consider the problem of choosing a total order between intervals in multiexpert decision making problems. To do so, we first start researching the additivity of interval-valued aggregation functions. Next, we briefly treat the problem of preserving admissible orders by linear transformations.We study the construction of interval-valued ordered weighted aggregation operators by means of admissible orders and discuss their properties. In this setting, we present the definition of an interval-valued Choquet integral with respect to an admissible order based on an admissible pair of aggregation functions. The importance of the definition of the Choquet integral, which is introduced by us here, lies in the fact that if the considered data are pointwise (i.e., if they are not proper intervals), then it recovers the classical concept of this aggregation. Next, we show that if we make use of intervals in multiexpert decision making problems, then the solution at which we arrive may depend o
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP402%2F11%2F0378" target="_blank" >GAP402/11/0378: Aggregation of knowledge and expectations in the models of mathematical economics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
IEEE Transactions on Fuzzy Systems
ISSN
1063-6706
e-ISSN
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Volume of the periodical
21
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
1150-1162
UT code for WoS article
000328049100013
EID of the result in the Scopus database
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