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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

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

  • 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