Multi-valued Choquet integral based on a couple of set functions with an application in multi-attribute decision-making

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F25%3A00640707" target="_blank" >RIV/67985556:_____/25:00640707 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0165011424003956?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011424003956?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2024.109249" target="_blank" >10.1016/j.fss.2024.109249</a>

Result language
angličtina
Original language name
Multi-valued Choquet integral based on a couple of set functions with an application in multi-attribute decision-making
Original language description
As a generalization of Choquet integrals, the generalized Choquet type set-valued integral of functions w.r.t. set multifunctions and σ-additive measures has been performed in our previous paper [66]. The present paper is its continuation and it brings a novel set-valued type Choquet integral, named double set function multi-valued Choquet integral (DSMVCI), where the σ-additive measure is replaced by a fuzzy measure. Various kinds of its properties and convergence theorems are obtained, and set-valued type Jensen's and Markov's type inequalities are proved. Its application in multi-attribute decision-making with hesitant fuzzy information is given.
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
10101 - Pure mathematics

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

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

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