Extended Bonferroni Mean Under Intuitionistic Fuzzy Environment Based on a Strict t-Conorm
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73580957" target="_blank" >RIV/61989592:15310/17:73580957 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/TSMC.2016.2610001" target="_blank" >http://dx.doi.org/10.1109/TSMC.2016.2610001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/TSMC.2016.2610001" target="_blank" >10.1109/TSMC.2016.2610001</a>
Alternative languages
Result language
angličtina
Original language name
Extended Bonferroni Mean Under Intuitionistic Fuzzy Environment Based on a Strict t-Conorm
Original language description
The Bonferroni mean (BM) operator, originally introduced by Bonferroni, assumes homogeneous relationship among the input arguments. Recently, extended BM (EBM) operator is developed to capture heterogeneous relationship among real arguments and linguistic 2-tuple data. In this paper, we investigate the EBM operator with Atanassov's intuitionistic fuzzy sets (AIFSs) by using additive generators of strict t-conorms in the operations of AIFSs. This new operator is referred to as AIF-EBM operator. We also define weighted AIF-EBM (WAIF-EBM) operator by using the said operations. Moreover, we investigate several desirable properties of the proposed operators and we prove that some known specific intuitionistic fuzzy aggregation operators are special cases of the proposed AIF-EBM and WAIF-EBM operators. Subsequently, by utilizing the proposed operators, we develop a new approach for determining criteria weights, where criteria are heterogeneously interrelated. The contribution ends by introducing a numerical example with a comparative analysis of the proposed approach and the existing processes. The results of the numerical example are also analyzed with parameterized strict t-conorms.
Czech name
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Czech description
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Classification
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
10102 - Applied mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
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 Systems Man Cybernetics-Systems
ISSN
2168-2216
e-ISSN
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Volume of the periodical
47
Issue of the periodical within the volume
8
Country of publishing house
US - UNITED STATES
Number of pages
17
Pages from-to
2083-2099
UT code for WoS article
000411096800027
EID of the result in the Scopus database
2-s2.0-85029300174