A novel generalization of the OWA and IOWA operators based on weighting vectors

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73633254" target="_blank" >RIV/61989592:15310/25:73633254 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0020025525003147" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0020025525003147</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ins.2025.122182" target="_blank" >10.1016/j.ins.2025.122182</a>

Result language
angličtina
Original language name
A novel generalization of the OWA and IOWA operators based on weighting vectors
Original language description
In this article, we present two novel generalizations of the OWA and IOWA operators based on weighting vectors, which could be useful in the field of data aggregation. In our first approach, OWAs and IOWAs are aggregated. In the case of convex sum aggregation, the corresponding ORNESS is also evaluated. In our second approach, given a weighting vector W, we consider an ordering mapping b : [0, 1]n- [0, 1]n that determines which weights and which inputs are related by a product, and an appropriate sum of these products is then considered. In the event of ties in the proposed approach, these are resolved by means of the arithmetic mean, a methodology that is analogous to that employed in the context of IOWA operators. Our approach is illustrated on series of examples including the related figures.
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
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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