Generalized extended Bonferroni means for isomorphic membership grades

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Generalized extended Bonferroni means for isomorphic membership grades

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Generalized extended Bonferroni means for isomorphic membership grades

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

FUZZY SETS AND SYSTEMS

ISSN

0165-0114

e-ISSN

1872-6801

Svazek periodika

488

Číslo periodika v rámci svazku

JUL

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

25

Strana od-do

"109009-1"-"109009-25"

Kód UT WoS článku

001295290400001

EID výsledku v databázi Scopus

2-s2.0-85193489497