Banzhaf-Choquet-Copula-based aggregation operators for managing fractional orthotriple fuzzy information

Alexandria Engineering Journal

Faisal Khan¹  Muhammad Naeem²  Muhammad Qiyas³  Saleem Abdullah³ 

[1] Corresponding author.;College of Engineering and Informatics, National University Ireland, Galway 91 CF50, Ireland;Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Khyber Pakhtunkhwa, Pakistan;

关键词: Fractional orthotriple fuzzy set (FOFS);    Extended Archimedean Copula and Extended Archimedean Co-copula;    Banzhaf function;    Fuzzy measure;    Aggregation operators;    Multi-criteria decision making;   

DOI  :  

来源: DOAJ

【 摘 要 】

The goal of the present research work is to develop a new family of aggregation operators (AOs) under the fractional orthotriple fuzzy (FOF) information and apply them to MCDM problems. At the start, the Archimedean coupla and co-coupla are extended to handle FOF information, and some operational law for fractional orthotriple fuzzy numbers (FOFNs) based on extended Archimedean copula (EAC) and extended Archimedean co-copula (EACC) is presented. The fractional orthotriple fuzzy Banzhaf Choquet-Copula aggregation operator and fractional orthotriple fuzzy Banzhaf Choquet-Copula geometric operators are defined based on the proposed operational laws of FOFNs. In addition, the modified maximum deviation approach and the Banzhaf function model are created to objectively determine the fuzzy measure (FM) of criteria sets. Finally, based on the defined AOs, the appropriate decision-making procedures are developed. The proposed approaches can effectively overcome the FMs of criteria sets that are subjectively assigned by decision makers, as well as some decision-making problems in which the weights of the criteria are incomplete (completely) unknown, and there is a correlation between all criteria set.

【 授权许可】

Unknown