Extended Bonferroni Mean Under Intuitionistic Fuzzy Environment Based on a Strict t-Conorm

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Extended Bonferroni Mean Under Intuitionistic Fuzzy Environment Based on a Strict t-Conorm

Popis výsledku v původním jazyce

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&apos;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.

Název v anglickém jazyce

Extended Bonferroni Mean Under Intuitionistic Fuzzy Environment Based on a Strict t-Conorm

Popis výsledku anglicky

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&apos;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.

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<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

IEEE Transactions on Systems Man Cybernetics-Systems

ISSN

2168-2216

e-ISSN

—

Svazek periodika

47

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

17

Strana od-do

2083-2099

Kód UT WoS článku

000411096800027

EID výsledku v databázi Scopus

2-s2.0-85029300174