Generalized extended Bonferroni means for isomorphic membership grades
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F24%3A73627594" target="_blank" >RIV/61989592:15310/24:73627594 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0165011424001556" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011424001556</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2024.109009" target="_blank" >10.1016/j.fss.2024.109009</a>
Alternative languages
Result language
angličtina
Original language name
Generalized extended Bonferroni means for isomorphic membership grades
Original language description
The generalized extended Bonferroni mean (GEBM) is a powerful tool for modeling the complex process of aggregating information, whether it is homogeneously or heterogeneously connected, within a composite aggregation structure. It maintains several favorable characteristics and effectively captures the diverse and interconnected nature of expert opinions or criteria, which is commonly observed in various decision-making contexts. This research expands upon the existing GEBM framework by applying it to the specific domains of q-rung orthopair fuzzy sets (g-ROFSs) and extended g-rung orthopair fuzzy sets (Eg-ROFSs). Furthermore, it examines the transformation processes among different variants of GEBMs. To facilitate the development of generalized aggregation functions, the de Morgan triplets for g-ROFSs and Eg-ROFSs are established. By introducing an isomorphism, the transformation relationship between the aggregation functions for g-ROFSs and Eg-ROFSs is analyzed. Based on this foundation, the Bonferroni mean de Morgan triplet-based GEBMs for g-ROFSs and Eg-ROFSs are proposed, and the keeping-order relations for these proposed GEBMs are discussed. Finally, several special cases of the GEBMs for g-ROFSs and Eg-ROFSs are obtained, and several relevant theorems are verified.
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
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
FUZZY SETS AND SYSTEMS
ISSN
0165-0114
e-ISSN
1872-6801
Volume of the periodical
488
Issue of the periodical within the volume
JUL
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
25
Pages from-to
"109009-1"-"109009-25"
UT code for WoS article
001295290400001
EID of the result in the Scopus database
2-s2.0-85193489497